It is shown, within constructive mathematics, that the unit ball B1 of the set of bounded operators on a Hilbert space H is weak-operator totally bounded. This result is then used to prove that the weak-operator continuity of the mapping T → AT on B1 is equivalent to the existence of the adjoint of A.

A characterisation of a type of weak-operator continuous linear functional on certain linear subsets of B, where H is a Hilbert space, is derived within Bishop-style constructive mathematics.

This paper investigates the existence of pure strategy Nash equilibria in discontinuous and nonquasiconcave games. We introduce a new notion of continuity, called weakly continuous security, which is weaker than the most known weak notions of continuity, including the surrogate point secure of SSYM game of Carbonell-Nicolau and Mclean (Econ Theory, 2018a), the continuous security of Barelli and Meneghel (Econometrica 81:813–824, 2013), C-security of McLennan et al. (Econometrica 79:1643–1664 2011), generalized weakly transfer continuity of Nessah (Economics 47:659–662, (...) 2011), generalized better-reply security of Carmona (Econ Theory 48:1–4, 2011), Barelli and Soza (On the existence of Nash equilibria in discontinuous and qualitative games, 2009), Barelli and Meneghel (Econometrica 81:813–824, 2013), lower single deviation property of Reny (Further results on the existence of Nash equilibria in discontinuous games. University of Chicago, 2009), better-reply security of Reny (Econometrica 67:1029–1056, 1999) and the results of Prokopovych (Econ Theory 48:5–16, 2011, Econ Theory 53:383–402, 2013) and Carmona (J Econ Theory 144:1333–1340, 2009). We show that a compact, convex and weakly continuous secure Hausdorff locally convex topological vector space game has a pure strategy Nash equilibrium. Moreover, it holds in a large class of discontinuous games. (shrink)

In Aczel [1], the existence of largest fixed points of set continuous operators is proved assuming the schema version of dependent choices in Zermelo-Fraenkel set theory without the axiom of Foundation. In the present paper, we study whether the existence of largest fixed points of set continuous operators is provable without the schema version of dependent choices, using Boffa's weak antifoundation axioms.

In this paper, we provide two novel expected utility theorems by suitably adjusting the independence and continuity axioms. Our first theorem characterizes expected utility preferences using weak versions of the independence axiom (with varying mixture weights) and a new weak continuity axiom. Our second theorem characterizes these preferences using weaker versions of the independence axiom (with mixture weights fixed at 1/2) and a strong topological continuity axiom. We provide useful examples to illustrate the tightness of these characterizations.

This paper presents four theorems that connect continuity postulates in mathematical economics to solvability axioms in mathematical psychology, and ranks them under alternative supplementary assumptions. Theorem 1 connects notions of continuity (full, separate, Wold, weak Wold, Archimedean, mixture) with those of solvability (restricted, unrestricted) under the completeness and transitivity of a binary relation. Theorem 2 uses the primitive notion of a separately continuous function to answer the question when an analogous property on a relation is fully continuous. Theorem (...) 3 provides a portmanteau theorem on the equivalence between restricted solvability and various notions of continuity under weak monotonicity. Finally, Theorem 4 presents a variant of Theorem 3 that follows Theorem 1 in dispensing with the dimensionality requirement and in providing partial equivalences between solvability and continuity notions. These theorems are motivated for their potential use in representation theorems. (shrink)

In this paper we study a reducibility that has been introduced by Klaus Weihrauch or, more precisely, a natural extension for multi-valued functions on represented spaces. We call the corresponding equivalence classes Weihrauch degrees and we show that the corresponding partial order induces a lower semi-lattice. It turns out that parallelization is a closure operator for this semi-lattice and that the parallelized Weihrauch degrees even form a lattice into which the Medvedev lattice and the Turing degrees can be embedded. The (...) importance of Weihrauch degrees is based on the fact that multi-valued functions on represented spaces can be considered as realizers of mathematical theorems in a very natural way and studying the Weihrauch reductions between theorems in this sense means to ask which theorems can be transformed continuously or computably into each other. As crucial corner points of this classification scheme the limited principle of omniscience LPO, the lesser limited principle of omniscience LLPO and their parallelizations are studied. It is proved that parallelized LLPO is equivalent to Weak Kőnig's Lemma and hence to the Hahn—Banach Theorem in this new and very strong sense. We call a multi-valued function weakly computable if it is reducible to the Weihrauch degree of parallelized LLPO and we present a new proof, based on a computational version of Kleene's ternary logic, that the class of weakly computable operations is closed under composition. Moreover, weakly computable operations on computable metric spaces are characterized as operations that admit upper semi-computable compact-valued selectors and it is proved that any single-valued weakly computable operation is already computable in the ordinary sense. (shrink)

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the (...) mixture space is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result. (shrink)

The most time consuming effort has been toward building a precision, servo-controlled rotary drive to turn the attractor. After discovering our Nanomotion HR1 Ultra-High-Vacuum motor was incapable of continuous operation in a vacuum environment (due to heat management issues), we were forced to redesign the system such that the motor remained in atmosphere. We are pleased with the final performance. Fig. 2.1-1A..

Quantum theory of Lorentz invariant local scalar fields without restrictions on 4-momentum spectrum is considered. The mass spectrum may be both discrete and continues and the square of mass as well as the energy may be positive or negative. One may assume the existence of such fields only if they interact with ordinary fields very weakly. Generalization of Kallen-Lehmann representation for propagators of these fields is found. The considered generalized fields may violate CPT-invariance. Restrictions on mass-spectrum of CPT-violating fields are (...) found. Local fields that annihilate vacuum state and violate CPT-invariance are constructed in this scope. Correct local relativistic generalization of Lindblad equation for density matrix is written for such fields. This generalization is particularly needed to describe the evolution of quantum system and measurement process in a unique way. Difficulties arising when the field annihilating the vacuum interacts with ordinary fields are discussed. (shrink)

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the (...) mixture space is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result. (shrink)

Today’s organizations are operating in a highly competitive and changing environment ‎that ‎pushes them to adapt their organizational structures to such ‎environments continuously. ‎However, the ethical behavior of employees is considered a bridge to the organization’s success ‎, driven by positive beliefs. This study's purpose of examining the psychological and ethical ‎beliefs' that influence employees' behavior at the workplace through a literature review. This ‎paper uses two terms: "ethical beliefs” and “psychological beliefs.” They both ‎are different but can significantly influence (...) the behavior of employees. Positive psychological and ‎strong ethical beliefs drive ethical behaviors at the workplace, such as honesty, accountability, ‎fairness, responsibility, trust, and integrity, which lead to better performance, a productive team, and ‎positivity in the workplace. It helps to develop a professional relationship with employees, ‎effective communication, accountability, and professionalism at work. While negative ‎psychological and weak ethical beliefs drive unethical behavior, including taking credit for other ‎hard work, abuse, verbal harassment, violence, lack of ambitions and professionalism, theft, ‎corrupt practices, etc. Finally, the arguments demonstrate that some ethical beliefs are perceived ‎to be more objective and appropriate than psychological beliefs. The ethical beliefs of workers ‎considered more formal than psychological beliefs. ‎. (shrink)

Constructive set theory a' la Myhill-Aczel has been extended in (Cantini and Crosilla 2008, Cantini and Crosilla 2010) to incorporate a notion of (partial, non--extensional) operation. Constructive operational set theory is a constructive and predicative analogue of Beeson's Inuitionistic set theory with rules and of Feferman's Operational set theory (Beeson 1988, Feferman 2006, Jaeger 2007, Jaeger 2009, Jaeger 1009b). This paper is concerned with an extension of constructive operational set theory (Cantini and Crosilla 2010) by a uniform operation of Transitive (...) Closure, \tau. Given a set a, \tau produces its transitive closure \tau a. We show that the theory ESTE of (Cantini and Crosilla 2010) augmented by \tau is still conservative over Peano Arithmetic. (shrink)

For the past two decades, it has widely been assumed by linguists that there is a single computational operation, Merge, which is unique to language, distinguishing it from other cognitive domains. The intention of this paper is to progress the discussion of language evolution in two ways: (i) survey what the ethological record reveals about the uniqueness of the human computational system, and (ii) explore how syntactic theories account for what ethology may determine to be human-specific. It is shown that (...) the operation Label, not Merge, constitutes the evolutionary novelty which distinguishes human language from non-human computational systems; a proposal lending weight to a Weak Continuity Hypothesis and leading to the formation of what is termed Computational Ethology. Some directions for future ethological research are suggested. (shrink)

In lieu of an abstract, here is a brief excerpt of the content: -/- [99] JOURNAL OF THE HISTORY OF PHILOSOPHY 23:1 JANUARY 198 5 Book Reviews Kenneth Dorter. Plato's 'Phaedo': An Interpretation. Toronto: University of Toronto Press, 1982. Pp. xi + 233. $28.50. Kenneth Dorter of the University of Guelph has given us a useful and unusual study of the Phaedo, which will attract the interest of a variety of Plato's readers. He provides the careful studies of the dialogue's (...) arguments for immortality to be expected in a sound commentary, paying close attention to the text as well as to recent scholarship, and displaying a good sense of argument. What gives the book additional interest, however, are its features as an interpretation of the Phaedo. Two stand out. First, Dorter wishes to give full weight not only to the logic of the arguments but also to the dramatic details of Plato's writing, believing these to be important in disclosing Plato's intentions. Secondly, he reads the Phaedo in light of a more general understanding of Plato's philosophy, especially the nature of the soul in its cosmic as well as individual aspects. Much of this is set out in a final speculative chapter, where Dorter seeks to make intelligible Plato's developing conception of soul by means of such notions as energy and poles of consciousness. Not every reader will be persuaded; but Dorter is to be commended for an attempt to move the discussion beyond the Phaedo and Plato's own vocabulary. The study gains its coherence from Dorter's belief that Plato's view of soul cannot support the ostensible aim of the dialogue, to provide reassurance of personal immortality. Although he has no doubt that for the Platonic Socrates there is "a meaningful sense in which we may be called immortal" (94, cf. 159), Dorter's analysis must be stretched to provide that sense. In part this is a result of his assessment of the arguments. The first, from reciprocity in nature, can at most show that, given the eternal nature of the world, soul and corporeality in general must continue to exist. The argument from recollection can point only to a non-empirical element in our knowledge ; that from the soul's kinship with the divine is best seen as an analogy developed to awaken within us a sense of eternity. The final argument, though containing fallacies (157), will support the conclusion that immortal soul is imperishable as long as soul is regarded as motive force in the universe, in the first argument's sense. In none of these discussions, then, can Plato's reasoning yield up personal survival. But there is another part to Dorter's case, underlying this conclusion. For Plato the individual human being is a composite of soul and body; so even if Plato were to prove the immortality of the soul he could never establish personal survival (63-64). It is not surprising then that Dorter is left with a doctrine of immortality either reduced to a "discovery of eternity within ourselves" (77), or else dissolved into a principle of enduring cosmic energy. So in neither case does it seem meaningful for Plato to say that we are immortal: the eternal which we sense is no more us than it is anything else. Although it is of course possible that Plato did not intend this consequence of his arguments, Dorter thinks otherwise. In support he invokes literary features of the dialogue to argue that Plato operates on one level for the less sophisticated (who wish to be persuaded of personal survival) and on another for the philosophically reflective reader. Dorter treats the textual evidence for this claim with an appropriate modesty, and tries to justify Plato's apparent duplicity as an attempt to convince the weak by a 'noble lie' (95-97). Nevertheless this leads Dorter to mix together too quickly for this reader popular religion, myth, and metaphor. To the fact that Plato does not espouse the language of popular religion literally, Dorter adds his own view of myth as an imaginative appeal to emotion that can be translated without loss into rational discourse (7, 165, a95). So the accounts of the afterlife at 8oc-84 b... (shrink)

The central role played by Darwin's analogy between selection under domestication and that under nature has been adequately appreciated, but I have indicated how important the domesticated organisms also were to other elements of Darwin's theory of evolution-his recognition of “the constant principle of change,” for instance, of the imperfection of adaptation, and of the extent of variation in nature. The further development of his theory and its presentation to the public likewise hinged on frequent reference to domesticates.We have seen (...) that Darwin's reliance on the analogy between domesticated varieties and wild species was a bold and original step, in light of contemporary views on the nature of domesticates. However, as Darwin undoubtedly foresaw, his reliance on the analogy created difficulties as well as solving problems, and these began with his Malthusian codiscoverer of the principle of natural selection, Alfred Russel Wallace. Wallace's paper “On the Tendency of Varieties to Depart Indefinitely from the Original Type,” presented to the Linnean Scoiety along with the first public unveiling of Darwin's theory, states: We see, then, that no inferences as to varieties in a state of nature can be deduced from the observation of those occurring among domestic animals. The two are so much opposed to each other in every circumstance of their existence, that what applies to the one is almost sure not to apply to the other. Domestic animals are abnormal, irregular, artificial; they are subject to varieties which never occur and never can occur in a state of nature.62Much has been made of the similarity of views of Darwin and Wallace, but this quotation surely reveals how utterly different their views were on what to Darwin was an important matter. Several critics of the Origin saw Darwin's reliance on the domesticates as his Achilles heel. As Young has pointed out, Samuel Wilberforce included the following passage in his attack on the Origin: Nor must we pass over unnoticed the transference of the argument from the domesticated to the untamed animals. Assuming that man as the selector can do much in a limited time, Mr. Darwin argues that Nature, a more powerful, a more continuous power, working over vastly extended ranges of time, can do more. But why should Nature, so uniform and persistent in all her operations, tend in this instance to change? Why should she become a selector of varieties?63Another critic, Fleeming Jenkin, found the analogy a weakness in Darwin's theory because of the limited extent of variation in any one direction in domestic animals and plants.64 We have already seen that Darwin had confided a similar view to his notebook thirty years earlier, but changed his mind as a result of his profound study of domesticates. De Beer's reference to “an English country gentleman's knowledge of domestic plants and animals and their breeding”65 fails totally to recognize the originality and depth of Darwin's knowledge of domesticates.Why did Darwin, against the currents of his time, rely so heavily on mankind's experience with domesticated organisms to shape his theory about species in nature? On reason is that only with domesticates was an approach that came close to experimental verification possible. Darwin fully realized the inadequacies of the experiment, as is emphasized by his repeated contrasting of selection under nature and selection by man. Yet the extensive experience and data of plant and animal breeders offered the only reliable base against which Darwin could continually challenge his views. As he wrote in the introduction to Variation, with domestication, “man ... may be said to have been trying an experiment on a gigantic scale.”66 Given Darwin's high opinion of the quantitative work of Malthus and Quetelet (as emphasized by Schweber),67 and his unremitting efforts to secure data by which to test his theories, it was inevitable that he should attach high significance to domesticated varieties. John Tyndall, in his Belfast address of 1874, said: “The strength of the doctrine of Evolution consists, not in experimental demonstration (for the subject is hardly accessible to this mode of proof), but in its general harmony with scientific thought.”68 Darwin would have agreed with the latter thought, but I think he would have challenged the preceding one on the grounds that long experience with domesticated varieties did provide an element of experimental demonstration. It gave him confidence in his theory, and he used his vast knowledge of artificial selection boldly and creatively. (shrink)

In this paper we study a new approach to classify mathematical theorems according to their computational content. Basically, we are asking the question which theorems can be continuously or computably transferred into each other? For this purpose theorems are considered via their realizers which are operations with certain input and output data. The technical tool to express continuous or computable relations between such operations is Weihrauch reducibility and the partially ordered degree structure induced by it. We have identified certain choice (...) principles such as co-finite choice, discrete choice, interval choice, compact choice and closed choice, which are cornerstones among Weihrauch degrees and it turns out that certain core theorems in analysis can be classified naturally in this structure. In particular, we study theorems such as the Intermediate Value Theorem, the Baire Category Theorem, the Banach Inverse Mapping Theorem, the Closed Graph Theorem and the Uniform Boundedness Theorem. We also explore how existing classifications of the Hahn—Banach Theorem and Weak Kőnig's Lemma fit into this picture. Well-known omniscience principles from constructive mathematics such as LPO and LLPO can also naturally be considered as Weihrauch degrees and they play an important role in our classification. Based on this we compare the results of our classification with existing classifications in constructive and reverse mathematics and we claim that in a certain sense our classification is finer and sheds some new light on the computational content of the respective theorems. Our classification scheme does not require any particular logical framework or axiomatic setting, but it can be carried out in the framework of classical mathematics using tools of topology, computability theory and computable analysis. We develop a number of separation techniques based on a new parallelization principle, on certain invariance properties of Weihrauch reducibility, on the Low Basis Theorem of Jockusch and Soare and based on the Baire Category Theorem. Finally, we present a number of metatheorems that allow to derive upper bounds for the classification of the Weihrauch degree of many theorems and we discuss the Brouwer Fixed Point Theorem as an example. (shrink)

The nature of war has been widely misunderstood. Far from being the continuation of policy, as Clausewitz and his present day "neorealist" followers think, in many ways it follows the rules of sports. In particular, the resemblance to sports ensures that, in a long conflict, in which the strong beat down the weak, the former will lose strength, whereas the latter will gain it. This logic has profound implications for counterinsurgency operations, including those ongoing in Iraq.

The main purpose of this study is to become acquainted with the educational institutions in Ottoman Empire during and after the 18th century. In this respect, special attention is given to which initiatives were taken in terms of education and which educational institutions were established during the aforementioned period. The need to comply with the West in terms of science, culture, reasoning, and technological advancements has led to the questioning of the current madrasah system. Upon revising the educational system of (...) the madrasah, which had difficulties in being productive and attaining to the necessities of the time, there have been initiatives primarily to establish and structure military schools. These attempts to reform education was intensively seen as from the early 18th century. The above-mentioned changes and progress have gained momentum with the Tanzimat era. It was observed that during this period, many schools were established beyond military; education levels were clarified and; females were given right to study. Similar to Tanzimat era during the first Constitutional Monarchy and Autocracy eras, positive contributions toward educational reforms were made. However, beginning from the middle of the second Constitutional Monarchy era, the economic and social complications that the state was going through had a negative impact on the educational system and the practicality of the educational institutions.Summary: Education has been the most important factor in determining the social, economic, and cultural level of a society. The level of development, which is the determinant of the superiority of the nations to each other over the world, varies according to the importance given to education. To be a pioneer in the scientific sense, to be able to have technological opportunities, to make people live more comfortable and peaceful, to have more power in the economic field and to ensure the continuity of the nation that depending on all these, it will be possible with the understanding of education that can read the time and future well. The fact that world states are superior to each other in different periods of history is directly related to their understanding of education. It can be said that in the centuries following the beginning of the new age, especially the Western nations have taken a more positive step at this subject. The changes in both mental and action spheres such as XVI. century Renaissance movements, XVIII. century enlightenment movement and finally the industrial revolution triggered the development in the scientific and technological field. In these periods the importance given to thinking and the freedom of thought has been the main factor of the progress in the scientific field. The European nations, which went beyond their religion-based bigotry and prioritized the free and secular understanding, have become superior to other nations of the world. However, it is not quite possible to say that in the same periods the Ottoman Empire was able to adapt with the same speed to such accelerations of change and development that placed in Europe. One of the main reasons for this situation and perhaps most importantly is that the educational concept in the Ottoman Empire remained within a static structure in the last centuries. In particular, the matters such as the madrasa being away from productivity, the limitation of the understanding of the science only with religious sciences, has led to the problem of inability to adapt to the rapid transformation that in Europe. The first steps towards eliminating this weakness noticed by the state executives over time has been taken through the improvement and transformation of the Ottoman educational institutions. It is possible to say that the first attempts as to these restructures of education, which is also called as Westernization or modernization by the educational historians, has begun in the period of Sultan III. Selim. In the context of the Nizam-ı Cedid movement, a number of positive initiatives in education, such as the improvement of madrasas, the opening of military schools and translation activities, constitute the core of the changes that will take place in later periods. Immediately afterwards, in the period of II. Mahmut, making the reading and writing education compulsory, opening of Western-style junior high school, establishing medical and vocational schools that provide education at higher education level are considered as positive innovations of the period. The time interval from the proclamation of the Tanzimat edict until the First Constitutional monarchy is the period in which the institutionalization and structuring towards education in the Ottoman Empire is at the highest level. Besides many educational institutions in this process where the ministry responsible for education and training is established and the regulation containing the arrangements regarding this field is put into force, one of the most important initiatives made is laying the foundations of the Dâr al-Fünûn (Ottoman University) which is considered as the first university in this land. The fact that many educational institutions established in this period that are the roots of today's educational institutions is important in terms of demonstrating the accuracy of the initiatives within the mentioned period. In Meşrutiyet (the First Constitutional Monarchy) and the subsequent period of Mutlakiyet (Autocracy), contributions were provided on previous positive structuring. However, the social and economic problems experienced in the country since the second half of II. Meşrutiyet (the 2nd Constitutional Monarchy) have been effective in the inability of continuing innovations towards education. In this study, the educational institutions established in the Ottoman Empire before and after the Tanzimat period were discussed. The aim is not just to reveal what these schools are. It was also aimed to emphasize which areas in which schools are required to be based on which needs, which obstacles are encountered during the change of mentality in education, regulatory activities foreseen to overcome obstacles and to what extent they have been successful. In this regard, the signals of change as to the structure of educational institutions, which could be the source of most of the republic period, started from the beginning of 1700s and continued until World War II period. During this period of more than a hundred years, the political periods related to the structure and functioning of the state have also been influential in the structuring of educational institutions. In fact, the Reorganization (Tanzimat) period, which is known as ‘reform’ in the mentioned process, is considered as the stage where the change and transformation concerning education is the most. It is seen that the process of westernization still continues even though it is not with the same acceleration in the Constitutional Monarchy and Autocracy periods after the Reorganization period. When looking at the facility of educational institutions in chronological order, it is determined that there is a dominated understanding that prioritizes to train military staff in the military field and to have a competent army with the technological possibilities of the time, in other words, to create a strong defence system against the foreign powers of the country. Indeed, for the first time in order to give technical information about modern military, Hendesehane opened and started to operate in İstanbul in 1734 by Mahmut I; Mühendishâne-i Bahrî-i Hümâyûn, the school of the first military maritime was opened in 1775 in order to provide modern education; Mühendishâne-i Berrî-i Hümâyun was founded in 1795 in Istanbul, in order to train artillery and military officer (military engineer); Mekteb-i Harbiye, which was opened in 1835 to train officers, and Menşe-i Küttab-ı Askeri, which was established to train military scribes, contributed to the contemporary construction of the army. In the mentioned period, the most important change outside the military area was in the health area. In this sense, in order to meet the medical doctor needs of the army, Tıbhâne-i Amire was established in 1827. In 1867, the first civilian medical school, Mekteb-i Tıbbiye-i Mülkiye, started education and training. Another important innovation movement for education was in the field of law. In this context, the School Law was established in 1880. In order to train competent staff in administrative staff, the schools of the Mekteb-i Mülkiye, the schools of teacher, the schools that enable women to do education, the improvement of schools that train the clergy and the regulations based on this take attention as educational activities carried out in the mentioned period. (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...) also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

Despite its philosophical interest, Susanna Newcome’s Enquiry Into the Evidence of the Christian Religion (1728, revised 1732) has received little attention from commentators. This paper seeks to redress this oversight by offering a reconstruction of Newcome’s innovative argument for God’s existence. Newcome employs a cosmological argument that differs from Thomist and kalām version of the argument. Specifically, Newcome challenges that idea that the causal chains observed in nature can exist independently. She does this through an appeal to findings from Newtonian (...) natural philosophy that suggest that the universe has entropic tendencies. This suggests that the continued operations of nature are dependent on a cause external to the universe. Newcome identifies this external cause with God. Various strengths and weaknesses of Newcome’s argument are discussed and an attempt is made to situate the argument within her broader epistemic framework and the larger context of Newtonian physico-theology. The paper also explores what is known of Newcome’s biography and intellectual milieu. (shrink)

La perspectiva historiográfica ofrecida por la teoría de las consecuencias involuntarias puede ser reconceptualizada en una concepción del mercado que explique su funcionamiento como una continua interrelación entre individuos que desconocen las consecuencias colectivas de los cursos de acción que emprenden.Asimismo, podrían distinguirse dos versiones de dicha teoria; de un lado, Ia versión débil, que se correspondería con el concepto de mercado de Hayek, y, deI otro, Ia versión fuerte. EI objetivo de este artículo es proponer el concepto al que (...) hemos denominado el principio de ignorancia, que seria una concepción acerca deI desenvolvimiento deI mercado acorde con los rasgos propios de Ia versión fuerte de Ia teoría de las consecuencias involuntarias.The historiographical perspective of the theory of unintended consequences can be reconceptualized into a conception of the market which explains its operation as a continuous interaction among individuals that do not know the collective consequences of their behaviours.Also, two versions of this theory might be distinguished, the weak version, which corresponds to Hayek’s concept of market, and the strong version. The aim of this paper is to propose the concept that we have termed as ignorance principIe, which is a conception of the operation of the market that fits to the characteristics of the strong version of the theory of unintended consequences. (shrink)

In this paper we shall introduce the variety FWHA of frontal weak Heyting algebras as a generalization of the frontal Heyting algebras introduced by Leo Esakia in [10]. A frontal operator in a weak Heyting algebra A is an expansive operator r preserving finite meets which also satisfies the equation?? b V, for all a,b? A. These operators were studied from an algebraic, logical and topological point of view by Leo Esakia in [10]. We will study frontal operators in weak (...) Heyting algebras and we will consider two examples of them. We will give a Priestley duality for the category of frontal weak Heyting algebras in terms of relational spaces where is a WH space [6], and R is an additional binary relation used to interpret the modal operator. We will also study the WH- algebras with successor and the WTf- algebras with gamma. For these varieties we will give two topological dualities. The first one is based on the representation given for the frontal weak Heyting algebras. The second one is based on certain particular classes of WH-spaces. (shrink)

Context: Although the relationship between communication and culture has received significant attention among communication scholars over the past thirty or more years, there is still no satisfactory explanation as to how these two are related and how culture evolves in communication. It forces the author to turn to Niklas Luhmann’s social systems theory, which is one of the main hypotheses of how social systems emerge. Problem: Unfortunately, Luhmann’s concept of meaning is too weak to explain the autopoiesis of communication. In (...) looking for a solution, the author suggests that it is necessary to distinguish between personal sense structures and socio-cultural meanings and to introduce the concept of shared meaning to the systems-theoretical approach. The paper conceptualises “meaning” as a phenomenon that evolves in communication and defines “culture” as a pattern of structurally related meanings. Findings: (1) According to Luhmann, social systems do not consist of static objects, but of dynamic operations, and for a social system to emerge, its elements – communications – must be connected to one another. The author argues that culture equips the momentary elements of the social system – communications – with the capacity for connection, and makes the social system operationally closed, self-referential, and autopoietic. (2) The problem of adaptation does not lose its importance if we understand cognition as a “self-founding activity” of operationally closed systems but transforms into a question of whether the “reality” construed by the media favours or restricts the coping of the system in the ever changing environment. (3) From the perspective of adaptation of the social system to its internal and external environments, an important condition of the continuous process of creation of shared knowledge to which individuals orientate themselves in their activities is the existence of variations. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Being Made Strange: Rhetoric Beyond RepresentationPat J. GehrkeBeing Made Strange: Rhetoric Beyond Representation. Bradford Vivian. Albany, NY: State University of New York Press, 2004. Pp. 229. $55.00.To call Being Made Strange an important contribution to our ongoing conversation about rhetoric and its philosophical dimensions would be too trite for a book of the density and complexity that Professor Vivian has given us. This book, for whatever weaknesses it (...) may have, stands alone in its boldness, scope, and aggressiveness in pursuing some of the most important questions facing rhetorical theorists and communication ethicists. Being Made Strange goes after what has been a critical and unyielding question for rhetoricians for some time now: "Can one conceive of rhetoric without appealing to essential notions of human being?" (9). To explore this possibility, Vivian has turned his significant knowledge of twentieth-century continental philosophy to bear upon rhetorical studies with a particular emphasis upon ethos and the middle voice. In so doing, he continually appeals to a privileging of "difference rather than identity, multiplicity instead of unity, and mutation instead of essential continuity" (15).This is not a book that I recommend lightly, for it is not a book to be read lightly. Those without the particular type of patience required to read primary texts in continental philosophy likely will tire quickly and lose sight of its contributions or read too hastily and miss the significance of this text. Being Made Strange was not written as a primer or a translation, but as a study that speaks to scholars who are seriously invested in the questions that Vivian is asking and who are willing and able to read slowly and carefully. Those who ascribe dogmatically to the populist or Orwellian schools of writing and scholarship may well be frustrated by this text's tendency to presume more capacity, engagement, and work from its readers. For those willing to do such work and expend the energy and time required to really read this book, I think the rewards will more than justify the effort. Certainly, there are some chapters that make for easier reading than others. In general, the second half of the book demands far less from the reader than the first.Being Made Strange is divided into three major sections. The first section offers an overview of the history of rhetorical studies, contrasting it to the sentiments of contemporary philosophy. Vivian particularly notes the priority of [End Page 340] representation and active voice in rhetoric and thus sets out the foundation of his critique. The second section offers the theoretical intervention that is to serve as salve for the difficulties of representation and active voice. Here, Vivian offers us an explication of rhetoric in the middle voice, as neither active nor passive, dissociated "from its conventional affinity with speech and intention" (77). Working primarily from the writings of Michel Foucault, he refigures ethos as "a discursive practice rather than the expression of an essential state of being" (104). These moves then enable Vivian to set his sights on theories of style and ethical inquiry in rhetorical studies. Finally, the third major section provides us with two more concrete studies that set out to demonstrate how rhetorical inquiry might look after the revolutionary reforms proposed in section two. The first study, on discourses concerning the relationship between Thomas Jefferson and Sally Hemmings, is an outstanding piece of scholarship that can stand (and has stood) alone. The second is a study of the rhetoric of silence that offers a compelling criticism to how silence has been figured in most rhetorical studies as another form of speech, maintaining the privileged space and operation of speech and representation in rhetoric. The concluding chapter, entitled "Rhetoric in a Nonmoral Sense," is perhaps the most ambitious, but it is also the most prone to excesses, which is entirely normal for conclusions of such books.I would be remiss if I did not mention some of the weaknesses that trouble me about Being Made Strange. I have to confess, without playing the apologist too strongly, that at times Vivian paints an excessively bleak picture of the history of rhetorical studies. Particularly in the first... (shrink)

Myhill-Shepherdson property in recursive function theory states that extensional effective program transformations determine continuous operations on partial functions. Case showed that this property fails to characterize acceptability of numberings of partial recursive functions. In this note we present a higher type analogue to Myhill-Shepherdson property. Our purpose is to show that higher type Myhill-Shepherdson property characterizes weak acceptability under a natural condition.

For the traditional legalistic discourse on the International Criminal Court, “politics” is a bête noire that compromises the independence of the Court and thus needs to be avoided and overcome. In response to this legalistic approach, a burgeoning body of literature insists that the Court does not exist and operate “beyond politics”, arguing that the ICC is an institution where law and politics are intimately connected. The present article seeks to contribute to this “non-traditional” literature by addressing two of its (...) fundamental weaknesses: First, writers of the “non-traditional camp” often present a rather limited view of “politics”; in particular, they have shied away from taking the radical step of portraying and analysing the ICC as a “political actor”. This undermines both its critical and constructive potential. Secondly, these commentators offer a simplistic explanation as to why “traditionalists” treat politics as the ICC’s bête noire: Traditionalists, they claim, are “legalists” with scant interest in and understanding of politics. By focusing on the ICC’s nature as a political actor, this article does not only paint a more nuanced picture of the ICC but also demonstrates the constructive potential of this understanding of the ICC to shed light on the so-called “peace versus justice dilemma”. And secondly, it demonstrates that precisely because the ICC is and ought to be a prudent political actor, it must officially disavow politics. The “noble lie” of disavowing politics, therefore, is a prudential strategy to avoid dangerous moral and political consequences and, ultimately, to secure the continued existence of the ICC itself. (shrink)

Writing, the exigency of writing: no longer the writing that has always (through a necessity in no way avoidable) been in the service of the speech or thought that is called idealist (that is to say, moralizing), but rather the writing that through its own slowly liberated force (the aleatory force of absence) seems to devote itself solely to itself as something that remains without identity, and little by little brings forth possibilities that are entirely other: an anonymous, distracted, deferred, (...) and dispersed way of being in relation, by which everything is brought into question – and first of all the idea of God, of the Self, of the Subject, then of Truth and the One, then finally the idea of the Book and the Work so that this writing (understood in its enigmatic rigor), far from having the Book as its goal rather signals its end: a writing that could be said to be outside discourse, outside language. – Maurice Blanchot ( The Infinite Conversation , xi) The Compendium * Beginning with the idea and practice of writing, and moving to the subject or self, then to truth and the One, and arriving at the Book and the Work, Blanchot’s words reflect the trajectory of the following work of writing. True to the embeddedness of the subject in the work of writing, the term “Compendium” has been a metonym for me over the past few years as I have thought about the concept of totality alongside its expression in figures such as the One, the Whole, or the All. In the following I aim to share some of the content of this metonym, and to enrich it by making some distinctions. 1 Here the term “Compendium” will refer to a concept of totality that is ontological (pertaining to being, and the copula) and also textual (pertaining to the symbolic, and the signifier-signified relationship). The Compendium is a figure for thinking the world as a Book, in the broadest sense—an approach to reality that is by no means new, but one that is due for renewal. 2 In partial answer to the question of the Compendium we will say that the word ‘Compendium’ stands in for expressions which seek to totalize, or concepts which seek to approach the concept of ‘everything,’ particularly when these expressions are bound up in the question of the Book (both the book as a physical object and the Book as a metaphysical figure: a way of thinking about the work in and of writing). The question of the Compendium is strongly associated with the physical and metaphysical form of the Book, like the mysterious and symbolic books which are opened in the Biblical book of Revelation, the book of life and the book of death, which together constitute an important couplet. 3 Parataxis & Hypotaxis There are two helpful distinctions that will bring us closer to an answer to the question “What is a Compendium?” The first distinction is between two figures in and for writing: parataxis and hypotaxis . Typically paired in contrast to one another as literary techniques, with parataxis indicating a side-by-side placement of textual elements and hypotaxis referring to subordinate arrangements of textual elements, the two figures can be understood as having a philosophical significance in addition to their practical function as devices for writers. For us these two terms will remain between philosophical theory and writing practice, and serve as a perspective for our writing and creation of texts. Here I take texts to refer to anything from the concrete written words in a book, to the ontological text of the world that we experience. Parataxis , as a figural way of thinking about the ontological structure of texts, refers to texts which are tightly woven and interdependent – texts within which each sentence bears the weight of the entire work. Parataxis often involves repetition, great density, and fragility. One of the best examples of this sort of text is Theodor Adorno’s posthumous magnum opus , Aesthetic Theory . In addition to the text itself, the translation history of the book may also help us to better understand parataxis and its relation to hypotaxis . The final published version of Aesthetic Theory , in German, was a text that Adorno intended to revise and rewrite, but this intention was never realized because of his untimely death. Where the German text of Aesthetic Theory certainly exemplifies the concept of parataxis , the first English edition took this densely woven text and carved Adorno’s lengthy paragraphs and lengthy sentences into manageable ‘bite-sized’ pieces of English text. The first translator took further liberty and inserted headings and new paragraph breaks where there were none in the original. Aesthetic Theory was eventually retranslated by Robert Hullot-Kentor and is now available in a form that is much more faithful to the original work. 4 The pertinent idea that this translation history points to is the distinction between parataxis and hypotaxis . Where parataxis describes texts which are repetitive, densely woven, and often fragile, hypotaxis describes texts which are hierarchical and in which the primary relation is linear – the latter of which is very similar to the first English translation of Aesthetic Theory . On the other hand, the original German text that Adorno wrote was very dense, often repetitive, and contained long sections of text unbroken by paragraphs or headings. This example of parataxis was then turned towards hypotaxis through the initial translation which took a text that was, in many ways, nonhierarchical and nonlinear, and artificially subjected it to a hierarchy that was not its own (and here I take the word of Fredric Jameson who comments on the two translations in a note at the beginning of his book Late Marxism ). 5 The point here is not about translation, but rather the distinction between parataxis and hypotaxis precisely as they are figures for discourse, written or otherwise. The concept of parataxis looks far more postmodern and rhizomic than the concept of hypotaxis which remains very modern and arborescent. This is a more figural way of talking about the distinction. However, if we wanted to take a more precise and analytical approach we could say that on the level of form parataxis involves a relationship between sentences and paragraphs in which each part bears an equally crushing responsibility to present the whole content of the text. As well, on the level of content, parataxis requires that each concept in a work take on the full conceptual weight of the total work. Continuing the analysis, we could say that parataxis describes texts in which there is no (or very little) linear or causal move from antecedent to consequent, whether in content or form. Instead, parataxis describes texts which weave together concepts via conjugations or associations. The concept of hypotaxis , on the other hand, requires that texts submit themselves to hierarchy, one example of which is logical argumentation. The contingency of the conclusion upon premises in hypotaxis is certainly distinct from the repetition, re-presentation, and conjugation of concepts in parataxis , and I think that this is evident in the difference between the writing styles prevalent in contemporary Analytic philosophy and Continental philosophy. It is not the case that the distinction between parataxis and hypotaxis absolutely corresponds with the writing styles of Continental and Analytic philosophy (respectively). There are thinkers who take exception to this pattern, such as Badiou’s more formal approach in the discourse of Continental philosophy to give one example. However, when Analytic philosophy takes its writing lessons from the sciences, and seeks to do philosophy via the clean linear move from antecedent to consequent, then I think that Analytic philosophy writes with hypotaxis in mind. On the other hand, when Continental (particularly German and French) philosophy takes its writing lessons from narrative or poetry then Continental philosophy writes with parataxis in mind. It is not fair to say that all those writing Continental philosophy are looking to narrative and poetry for stylistic direction, just as it is not the case that all those writing Analytic philosophy have mathematics and science as their writing format, however there are some striking ways in which the differing epistemologies of Continental and Analytic philosophy encourage writing with parataxis and hypotaxis in mind (respectively). For some, writing with parataxis or hypotaxis in mind is a conscious decision and a product of stylistic self-consciousness, and for others it is an unconscious discursive and epistemic requirement that must be met in order to be involved in a particular discourse. Before moving on to our second distinction, and then an examination of the question of the Book, it is important to point out that both totality and figurations like the One, the Whole, and the All, come out of very human desires to totalize or to actualize our being-towards-totality. The relationship between identity and totality then can be construed, with Heidegger in mind, as striving toward wholeness, completion, or fulfillment, each of which is a quality of compendia. 6 Compilation & Selection The first distinction between parataxis and hypotaxis pertains to both form and content, and to both the mechanics of writing and the ideas to which writing refers. The second distinction pertains to both as well. In the process of writing and in the process of perception as well, there is a tension between compilation and selection . To begin with, in the work of theory-writing there is compilation, and this is because writing theory requires a broad perspective and certain measure of totalization. On the other hand, writing theory requires that the writer select an idea or a combination of ideas to individuate out of a radical and infinite multiplicity of identities and combinations. The concern here is not primarily for the writing of a theory about a specific idea, like a secondary work or a reference text. But rather the concern is with the writing of grand theories: Marx and Marxism, Derrida and Deconstruction, Husserl and Phenomenology, Sartre and Existentialism, Saussure and Structuralism —each of which strives along a trajectory towards being all-encompassing, whether it intends to or not. Today, we could even say that Speculative Realism has embarked on this journey, and perhaps now we could say that the discourse of Speculative Realism has reached the inevitable point after which a grand theory leaves the hands of its writer or writers and becomes a possession of the collective consciousness of the academy, or (perhaps now) the mass consciousness of the blogosphere—and this is a true pharmakon , a poison and a cure, a blessing and a curse. 7 When we write theory, whether the scope is that of a grand theory or a particular theory, we write in the tension between compilation (making good on the desire to be all encompassing) and selection (being required to decide and discern and to judge what is included in the work and what is deleted or appended or abridged or given over to ellipses). Generally speaking, the work of theory-writing often comes out of a desire to totalize, that is, to develop a theory of everything that is able to apprehend new experiences and ideas while still remaining whole. I grant that this is not a universal desire, and that not everyone who sits down to write a work (or book) of theory does so because of their will-to-totality, but it remains that this drive to totalize does condition a great many writers of theory (especially those who seek to develop grand theories like those mentioned previously). At the beginning of his book of interviews, Between Existentialism and Marxism , Sartre is quoted as saying, after completing the first volume of his Critique of Dialectical Reason : “I no longer feel the need to make long digressions in my books, as if I were forever chasing after my own philosophy. It will now be deposited in little coffins, and I will feel completely emptied and at peace—as I felt after Being and Nothingness . A feeling of emptiness: a writer is fortunate if he can attain such a state. For when one has nothing to say, one can say everything .” 8 This is where our two initial distinctions come to bear on the being-towards-totality as it is expressed in the concrete practice of writing: the first being between parataxis and hypotaxis , and the second being between compilation and selection. Where this second distinction is concerned there is a certain paradox at play given that selection is inescapable, and compilation is unachievable. Selection is inescapable (with the figure of the Compendium in mind) because, even when the imperative to compile is followed to excruciating lengths, selection still has the last word. This is why the Compendium is a figure rather than some material thing that can actually be accomplished or actualized. No matter how far one goes along with the will-to-archive and the will-to-compile, it is only ever a question of minimizing selection and never eliminating it. This leads to the second point, which is that total compilation is unachievable. The closest thing to total compilation that we have before us is the ontological and textual fabric of the world. Even in the case of the world, compilation cannot be enacted in a total fashion because of the need to include both the sphere of the actual and the sphere of the possible or potential. This as another way in which compilation is always-already selection, and further evidence that total compilation is practically impossible. Discursive Figuration and Total Writing Rather than figuration referring to a figure of speech or an image, here the term points to a way in which to think about the work of writing, both the work put into writing, and the work that is the result of writing: the finished yet incomplete final piece. As figures or figurations, the Book and the Compendium are ways of thinking about the work of writing and the human desire for the wholeness, completion, and fulfillment that are made manifest in the completed form of the book (whether a published or printed or saved document put to rest by the author). These two figures bear more strongly upon works that seek to be all-encompassing, and works that strive towards expressions of totality such as the One, the Whole, or the All. Moving on to the topic of the subtitle, and on a more prescriptive note, I would say that there is more hope for theory-writing to be found in parataxis than hypotaxis . Part of the reason for this claim is the poststructuralist critique of hierarchies, and yet another part is the compelling line of thinking called “weak thought” (in theology by John D. Caputo, and in philosophy by Gianni Vattimo, among others). 9 The consequences of these two convictions are such that if one is to strongly assert the truth of a grand theory without leaving the realm of hierarchy-critique and weak thought, then one must write paradoxically with parataxis in mind, and in so doing write weakly and non-hierarchically. This does not mean avoiding a sort of topography or topology when writing theory, rather it means avoiding both subjugation and oppression in thought by pursuing a nonviolent sort of ontology. In order to do this, theory writing does not present itself as an exercise in logical analysis where one mechanically moves from a set of premises (via contingency) to the inevitable conclusion (via necessity). Instead, theory approaches the idea of a Compendium. Given that the figural Compendium places parataxis and compilation above hypotaxis and selection, then the question becomes: is placing one part of a binary term before another not just another way of selecting, or another expression of hypotaxis ? Counter to the urge to resign oneself to the reign of selection, with some qualification one can nonetheless write without deciding whether selection and hypotaxis should be subservient to compilation and parataxis (which is to say that writing-without-decision is somewhere between and beyond possibility and impossibility). This dilemma can be disarmed by stating that theory writing is not about primacy, and not about having-decided-beforehand, both stylistically and also where content is concerned. This is the paradox of writing: always striving along a trajectory ( telos ) towards totality via parataxis and compilation, but always being drawn back to finitude and making selections, and placing one idea before another with hypotaxis in mind. In light of this paradox, the question of the Compendium as a figure for discourse and a figural Book has resonance with Jacques Derrida’s essay on Edmund Jabès’ Book of Questions , found in his Writing and Difference . The Question of the Book “Little by little the book will finish me.” 10 Derrida quotes Jabès, and proceeds to outline the reflexive relationship between the author of the book and the book itself, each of which are subjected to the other through a sort of chiasmus, both ontological and textual (not that the two are entirely separable). The Book, for Derrida like Blanchot in the introductory quotation, “infinitely reflects itself” and “develops as a painful questioning of its own possibility”, and in light of this we can draw an association with the painful tension between the practical reality of selection and the ideal trajectory of compilation. 11 This tension in writing, between the will to total compilation and the necessity of abridgment, is an ontological tension between part and whole just as it is a textual tension between signifier and signified. The ontological tension in writing that Derrida expresses in his essay on Jabès is between everything and nothing – a contradiction which Derrida finds in Jabès’ Book of Questions and also in the divine, in God. When one writes between compilation and selection one writes towards totality, and here we can follow Derrida who states that the lapse in signification, presumably in the signifier-signified discrepancy, is a “ rupture with totality itself” and furthermore that this lapse cannot be rectified through deductive reason or even philosophical discourse. 12 This rupture with totality, found in the troubled relation between signifier and signified, can also tell us a lot about the Book and about writing. Given an understanding of writing as an ontological act that strives towards (but never accomplishes) totality, we can see the written book as the manifested and given body of that striving. Perhaps in other disciplines or even other schools of philosophy there is a cultural climate within which the article is prized above the book, but I am fairly confident, especially when referring to the grand theories of Continental thought, that there is a respect for the book as a uniquely meaningful object capable of apprehending totality. Derrida writes, Between the too warm flesh of the literal event and the cold skin of the concept runs meaning. This is how it enters into the book. Everything enters into, transpires in the book. This is why the book is never finite. It always remains suffering and vigilant. 13 Here the vitality of the literal event is compromised by the deadening weight of the concept, and the figure of the Book assists in this lapse of meaning. The Book is a totalizing object, much like the figure of the Compendium, and yet this totalization lacks its final object of completed totality both because the figural Book is necessarily incomplete, and because the physical book is always-already a product of selection. Instead of achieving its end of being a place where everything takes place, it suffers from the lapse of writing, the discrepancy between event and concept. Derrida continues his exposition on Jabès by bringing to light yet another reflexive relation, a reversal of the relationship between the Book and the world. Derrida writes that, for Jabès, “the book is not in the world, but the world is in the book.” 14 In addition to what was stated before, I take figuration to mean that the concepts employed, such as the Book or the Compendium, are not subject to the supposed rigor of analysis that is so prized by Enlightenment or Capitalist realisms. The figure of the Book and the figure of the Compendium cannot be held accountable to standards imported from scientific method, given an understanding that these standards require a concept to be replicable, consistent, falsifiable, measurable, and so on… This is an important point to make, especially in the present atmosphere within which theory must justify itself under conditions that are not its own. Instead of being held to these standards, figuration serves as a way in which to think about writing that leaves thought open to idealistic speculation, imperfect analogies, and most importantly the ever-present gain and loss that occur in the relationship between thought and being. By extension the figural way of addressing writing indulges in enough generalization to accommodate the excess/lack relationship between the ideal form of the Book or the Compendium, and the manifested and given body of a text (as it is practically completed and closed). Here we speak against the hostile atmosphere which would have theory submit itself to hierarchical rigor, rather than Blanchot’s “enigmatic rigor”, by being explicit about the discursive conditions and epistemic conditions under which theory operates. To write with parataxis in mind is, to a certain degree, to write with weakness as one’s methodology (with weak thought being in opposition to hypotaxis and hierarchy as much as weak thought can be in opposition to anything). Rather than asserting the strength of hierarchical theory, and rather than employing antagonistic argumentation with the goal of refutation different discursive and epistemic conditions for theory writing must be cultivated (and these are by no means new). First the critical and theoretical spirit reveals itself as being concerned with the task of complication—especially the complication and critique of binaries, dichotomies, dualities, polarities, paradoxes, parallaxes, hybridities, and especially antinomies. Second, theory positions itself as a sort of showing or revealing, rather than being ultimately focused on coming to full agreement or disagreement. This is where figuration can help theory-writing, both by placing emphasis on teleologies and trajectories (like parataxis and compilation), and by shifting focus away from pure primacy, power, or absolute origin. Figuration then, assists theory writing by placing the concern of theory outside of the concerns of the hard or soft sciences, and into the realm of thought or the idea. To speak of ‘the’ Compendium or ‘the’ Book, here, is to generalize not regarding the perfect form of the Compendium or Book, but to engage speculatively with an abstract idea which remains singular and yet complicated by multiplicity. The question of the Book that Derrida asks through Jabès is a question of everything and nothing, totality and nonbeing, and this question is a concern for writing and a concern for the figure of the Compendium so defined by the tension between compilation and selection, and parataxis and hypotaxis . On the note of nonbeing, we can look to the final page of Derrida’s first essay on Jabès in Writing and Difference and notice the introduction of his neologism, différance (with an ‘a’). Derrida writes: Life negates itself in literature only so that it may survive better. So that it may be better. It does not negate itself any more than it affirms itself: it differs from itself, defers itself, and writes itself as différance . Books are always books of life (the archetype would be the Book of Life kept by the God of the Jews) or of afterlife (the archetype would be the Books of the Dead kept by the Egyptians). 15 This introduction of différance into the equation of the Book, alongside ontological affirmation and negation, hearkens back to the discussion of the symbolic lapse earlier in his essay. Differing and deferring, the Book is always a Book of Life and a figure for the intersection of the vital (life) and the total in writing. In a way, the writer of the Book may be someone who lives life, and in another way the writer of the book-as-object may be someone who engages in the act of writing, both practically (by inscribing words on paper, or typing script on a computer) and ontologically or symbolically (by investing their existence and inexistence into a work worthy of the figural Book). In addition to the writer as writer, the writer also serves as an editor, and the editorial role alongside the idea of the Compendium shows the editor to be one who collects and compiles, while being restrained by eventual selection and decision. Beyond this the editor of works and texts, in both the Book and the world, is engaged in a process of inscribing notation—of annotating (on) the Compendium. Eternal commentary is a feature of the textual Compendium, just as open-ended totality describes the ontological Compendium. The writer as writer does not simply write texts, but rather engages in a profoundly ontological act of inscribing their existence into the world, and the writer as editor does not merely annotate or alter texts as they are, but rather comments upon the text of the world. In/Conclusion So as we create texts, and as we write and create theory, let us be and remain attentive to the figure of the Compendium and the figure of the Book. These two concurrent metonymies are essential for total writing (grand theories, etc.), and may be forgettable for those concerned with fragmentary or hierarchical writing (which are valid in their own right). From the ontological and symbolic text of the world and phenomenological experience, to concrete texts such as books or mixed media, the figure of the Compendium and the figure of the Book are important for the actualization of the human will to be all-encompassing. The figure of the Compendium teaches writers of theory that the repetition, density, and fragility of parataxis offers a strong sort of weakness which does not become yet another variety of oppressive and hegemonic thought. Rather than write with hypotaxis in mind, subjugating one thought to another via cause and effect or antecedent and consequent, I would hope that theory-writing could guiltlessly indulge in the dialectical and contradictory conjugation of ideas, and take this as a legitimate methodology. Rather than being ashamed of showing resonances or giving way to abridgment or ellipses, it is my own authorial (but not authoritative) conviction that one need not give up on totalizing and constructing grand theories because of the fact that complete totalization is impossible, and one need not give up on totalizing and constructing grand theories because of the worry of violence, for the Book and the Compendium lack their completed object and are ever incomplete trajectories. NOTES * UPDATED 7/19/13: we've updated the HTML version to reflect the (correct) PDF version. Our apologies to the author—eds. 1. I would like extend thanks to Dr. Peter Schwenger of the University of Western Ontario for his comments on this paper and his hospitality as it was presented as a Theory Session at the Centre for Theory and Criticism on October 26th 2012. I would also like to thank Andrew Weiss for conversation and critique. 2. I should clarify my use of the term ‘figure’ at the outset. Given the use of the term by Jean-Francois Lyotard in Discourse, Figure (and also Gilles Deleuze in Francis Bacon ), I should state clearly that my use of the term will not correspond to the term ‘figure’ understood as the representation of an object. Instead, my use of the term ‘figure’ and its variations (‘figural’, ‘figurative’, ‘figuration’) will refer to the illustrative or metaphorical use of the Compendium or the Book as models or ways of thinking about writing and discourse. 3. Cf. Revelations 20:12-15. 4. Theodor Adorno, Aesthetic Theory , Trans. Robert Hullot-Kentor (London & New York: Continuum Press, 1997). 5. Fredric Jameson, Late Marxism: Adorno, or the Persistence of the Dialectic (London & New York: Verso, 1990), ix-x. 6. I have written about this concept of being-towards-totality elsewhere in two pieces of writing: the first is called Notes on the Compendium (an unfinished draft) which addresses some very wide theoretical concerns, being structured as a sort of itinerary or archive, and the second is Dialectics Unbound (Punctum Books, 2013) which outlines a concept of totality without the violence of totalization. While these works are more concerned with ontological totality, here I would like to focus on the idea of the Compendium as a textual totality. 7. Cf. Louis Morelle, “Speculative Realism: After Finitude and Beyond, A vade mecum” in Speculations: Journal of Speculative Realism . Issue 3 (Brooklyn, New York: Punctum Books, 2012), 241-272. 8. Jean-Paul Sartre, Between Existentialism and Marxism . Trans. John Matthews (London & New York: Verso, 1974), 9. 9. Cf. John D. Caputo, The Weakness of God (Indiana: Indiana University Press, 2006). 10. Jacques Derrida, “Edmond Jabès and the Question of the Book” in Writing and Difference . Trans. Alan Bass (Chicago: University of Chicago Press, 1978), 65. 11. Ibid, 65. 12. Ibid, 71. 13. Ibid, 75. 14. Ibid, 76. 15. Ibid, 78. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Spinoza on Self-Preservation and Self-DestructionMitchell GabhartI wish to examine a difficulty that arises in Spinoza’s treatment of selfhood as it pertains to the possibility of self-destruction. The troublesome problem of selfhood is one which I will not solve but which I hope to illuminate. What I hope to do is shed light on Spinoza’s conception of human essence as necessarily self-affirming, and therefore of willful self-destruction as impossible. Yet (...) this issue too is troubling since the accounts Spinoza provides of suicides all have one thing in common: suicide always involves being overcome by the external environment, i.e., the environment operating in a way contrary to the nature of the agent. Thus, all suicide is a sign of an internal weakness in the face of a hostile world. To provide the needed contrast to the suicidal agent, necessarily a state of the utmost bondage or servitude, I will first sketch Spinoza’s theory of the passions, their remedy, the characteristics of the active free agent, and his curious account of immortality. Then I turn to the problem in his account of suicide: I contend that he cannot make meaningful a distinction between suicide and any other form of death.2.I begin with Spinoza’s analysis of human motivation, the elements of which are the affects, which he defines (E3D2) as the body’s power of acting being increased or diminished as well as the idea of those affections.1 Spinoza classifies [End Page 613] emotions, i.e., affects under the attribute of mind, into two types: actions and passions.2 Spinoza does not (contrary to his predecessor Descartes) posit the existence of a separate faculty such as will to transform passions into actions. Rather, “we act when something happens, in us or outside us, of which we are the adequate cause, i.e., (by E3D1) when something in us or outside us follows from our nature, which can be clearly and distinctly understood through it alone.”3 Conversely, we are acted upon “when something happens in us, or something follows from our nature, of which we are only a partial cause.”4 Consequently it is not necessary to oppose will and intellect in order to differentiate action from passion. The mind includes both adequate and inadequate ideas (E3P1) and therefore can be alternately both agent and patient.The departure from Descartes is striking: since (1) ideas either are or are not adequate and (2) each adequate idea carries its own certitude (E2P43), the need for a separate faculty of assent, which is what volition must amount to, is nullified. Instead, volition and appetite are considered by Spinoza to be no more than distinct manifestations of one central striving, the former a purely mental description and the latter an account of both mental and physical aspects of the individual.5Spinoza introduces the key term conatus to characterize the activity of modes but it is a concept which also bears the burden of accounting for the individuality, indeed the essence, of finite modes. The principle of conatus is defined by Spinoza as a striving (E3P7), i.e., “that striving by which each thing strives to persevere in its own being is nothing but the actual essence of the thing.”6 This [End Page 614] striving to persevere in one’s existence—a striving which continues for an indefinite time (E3P8)—must, of course, undergo both successes and failures. Modes, such as the human individual, exist conditionally, as finite and temporally changing constituents of the substantial reality which Spinoza refers to as “God or Nature.” So, human beings are entities possessing (1) an essential identity through an indefinite duration and (2) a consciousness of that identity which alternately resists or succumbs to outside forces.Thus, their existence can be thought of as merely adjectival, which poses difficulties in understanding self-identity. Vital, it seems, to an acceptable conception of identity is some principle of individuation—something which makes Peter distinct from Paul.7 Let us first then sketch the account of individuation that Spinoza proposes. It is important to bear in mind first that conatus is a striving of the organism as... (shrink)

Stove's article, 'So you think you are a Darwinian?'[ 1] was essentially an advertisement for his book, Darwinian Fairytales.[ 2] The central argument of the book is that Darwin's theory, in both Darwin's and recent sociobiological versions, asserts many things about the human and other species that are known to be false, but protects itself from refutation by its logical complexity. A great number of ad hoc devices, he claims, are used to protect the theory. If co operation is observed (...) where the theory predicts competition, then competition is referred to the time of the cavemen, or is reinterpreted as competition between some hidden entities like genes or abstract entities like populations. In a characteristic sally, Stove writes of the sociobiologists' oscillation on the meaning of kin altruism: Any discussion of altruism with an inclusive fitness theorist is, in fact, exactly like dealing with a pair of balloons connected by a tube, one balloon being the belief that kin altruism is an illusion, the other being the belief that kin altruism is caused by shared genes. If a critic puts pressure on the illusion balloon - perhaps by ridiculing the selfish theory of human nature - air is forced into the causal balloon. There is then an increased production of earnest causal explanations of why we love our children, why hymenopteran workers look after their sisters, etc., etc. Then, if the critic puts pressure on the causal balloon - perhaps about the weakness of sibling altruism compared with parental, or the absence of sibling altruism in bacteria - then the illusion balloon is forced to expand. There will now be an increased production of cynical scurrilities about parents manipulating their babies for their own advantage, and vice versa, and in general, about the Hobbesian bad times that are had by all. In this way critical pressure, applied to the theory of inclusive fitness at one point, can always be easily absorbed at another point, and the theory as a whole is never endangered.[ 3] Now, it is uncontroversial to assert that Darwinism is a logically complex theory, and that its relation to empirical evidence is distant and multi faceted. One does not directly observe chance genetic variations leading to the development of new species, or even continuous variations in the fossil record, but must rely on subtle arguments to the best explanation, scaling up from varieties to species, and so on.. (shrink)

We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. Connected choice is the operation that finds a point in a non-empty connected closed set given by negative information. One of our main results is that for any fixed dimension the Brouwer Fixed Point Theorem of that dimension is computably equivalent to connected choice of the Euclidean unit cube of the same dimension. Another main result is that connected choice is complete for dimension greater than (...) or equal to two in the sense that it is computably equivalent to Weak Kőnig’s Lemma. While we can present two independent proofs for dimension three and upward that are either based on a simple geometric construction or a combinatorial argument, the proof for dimension two is based on a more involved inverse limit construction. The connected choice operation in dimension one is known to be equivalent to the Intermediate Value Theorem; we prove that this problem is not idempotent in contrast to the case of dimension two and upward. We also prove that Lipschitz continuity with Lipschitz constants strictly larger than one does not simplify finding fixed points. Finally, we prove that finding a connectedness component of a closed subset of the Euclidean unit cube of any dimension greater than or equal to one is equivalent to Weak Kőnig’s Lemma. In order to describe these results, we introduce a representation of closed subsets of the unit cube by trees of rational complexes. (shrink)

Modal pseudocomplemented De Morgan algebras were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 53, 1, pp. 65–79, and they constitute a proper subvariety of the variety of pseudocomplemented De Morgan algebras satisfying xΛ* = *))* studied by H. Sankappanavar in 1987. In this paper the study of these algebras is continued. More precisely, new characterizations of mpM-congruences are shown. In particular, one of them is determined (...) by taking into account an implication operation which is defined on these algebras as weak implication. In addition, the finite mpM-algebras were considered and a factorization theorem of them is given. Finally, the structure of the free finitely generated mpM-algebras is obtained and a formula to compute its cardinal number in terms of the number of the free generators is established. For characterization of the finitely-generated free De Morgan algebras, free Boole-De Morgan algebras and free De Morgan quasilattices see: [16, 17, 18]. (shrink)

Based on historical comparisons among master-pupil chains and other aspects of social networks among philosophers, some prmciples are suggested regarding long-term intellectual change. The higher the eminence ofphilosophers, the more tightly they are connected to mtergenerational chains of other eminent philosophers, and to horizontal circles of the intellectual community. Intellectual creativity proceeds through the contemporaneous development of rival positions, dividing up the available attention space in the intellectual community. Strong thought-communities, those that have strong external support for their institutional base, (...) subdivide to maximize internal distinctiveness; weakly supported thought-communities disappear or amalgamate by syncretism. External conditions thus affect the content of ideas indirectly by affecting the space available in the mternal field of the intellectual community. The content of philosophies, the degree of abstraction and self-conscious reflection upon intellectual operations, depends on how many generations intellectual networks maintain continuity under conditions of creative rivalry. New positions are produced by competitive appropriation of prior ideas and by negation of preexisting positions along the lines of greatest organizational rivalry. (shrink)

A model theory is constructed that exhibits quantization on a cosmic scale. A holistic rationale for the theory is discussed. The theory incorporates a fundamental length, of cosmic size, and preserves the weak, geometrical equivalence principle. The momentum operator is an integral, nonlocal, naturally contravariant operator, in contrast to the usual quantum case. In the limit of high quantum numbers the theory reduces to classical physics, giving rise to a world which is quantized both on the microscopic and cosmic scale, (...) each of which passes over to the usual macroscopic, continuous, classical, world in the highn limit.The theory is applied to two experimental situations, absorption lines in high-z quasars and elliptical rings around normal galaxies, with suggestive but not definitive results. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:A Chance to CutBruce H. CampbellMy gloved hand reaches for progressively sharper surgical instruments. The prior radiation therapy and recurrent cancer [End Page E3] have made his neck tissues as stiff and hard as an old block of wood; everything appears too dull and feels too dry under the bright operating room lights. I push, dissect, urge, divide, prod, and spread with little effect.The nursing staff keeps to its (...) routine—completing computer entries, retrieving supplies, counting sponges—only intermittently aware that things are not going well at the point of attack. Nondescript music plays softly and the anesthesia machine continues to emit its gentle sounds. The junior resident—assisting me with the first of many neck dissections she will see during her five years of training—grips the retractor as she has been told and dabs the wound periodically to clear any blood or fluid.I glance up to recheck the CT scan. It confirms that this man’s recurrent cancer is just below the next layer of neck muscles. There are also some large blood vessels and major nerves nearby. I am confident, though, that I will be able to expose the mass, protect all of the critical structures, and safely remove the cancer.Curing cancer with surgery is no small feat, mind you. Cancer is, after all, a molecular disease not easily confined to an obvious lump, even though we sometimes refer to a malignant mass being “like a walnut” or “as hard and round as a marble.” The actual disease rests deep inside each cancer cell where the genetic code—the DNA—makes mistake–after–mistake. If cancer is to be cured with a surgical procedure, the surgeon must remove every last cell that is capable of making the same nonsensical, life–threatening error. Given Science’s rudimentary knowledge of cancer cell dynamics and signaling, it’s a miracle that surgery ever works. Yet, we continue to try. And we succeed just often enough to keep on trying.I rearrange the retractors and alter my approach. My mentors would have known what to do next, I imagine. My training included time well–spent with brilliant and technically–gifted surgeons. How would they have approached this case? Their experience and instincts might have told them to open the wound more widely, work the lateral and deep margins first, or position the instruments differently.Perhaps, one of my mentors would have attacked this man’s tumor using the same approach I am attempting but would have known exactly where to exploit some area of weakness that I cannot locate. A few swift, confident moves and he would have held the mass in his hands. “That’s it. We’re done,” he would have said.I met this patient several months ago when his cancer was first discovered and have seen him throughout his course of treatment. Recently, his daughter had accompanied him to the office to review his options. “Treatment has been rugged, Doc,” he reminded me. “The cancer’s still there and they said I can’t get any more radiation. Chemo would only prolong things. I don’t really want surgery, but what choice do I have if I want to be cured?”“Supportive care is an option, but the only curative approach is surgery.”“Well, I’m not ready to quit yet, Doc. I got grand-kids, y’know. I want to watch them grow up.” He nodded to his daughter. “I’m in charge of spoiling her little boys.”The daughter smiled. We crowded around the computer screen to look at the scans. I showed them how the tumor was invading and destroying surrounding structures. I described the surgery and the risks.“There are many things I will not know about your tumor until we are actually in the operating room,” I explained. Surgery in the setting of recurrent disease involves a series of on–the–spot decisions and course corrections. The odds of success are unknowable. “Sometimes, the only way to find out if we can remove the cancer is simply to try.”He took a deep breath and looked at his daughter. “Well then, Doc, if surgery is the only... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Phenomenology of Superstition or a Phenomenological Superstition?Elena Ibáñez-Guerra (bio)KeywordsBehaviorism, constructionism, intentionality, operant behaviorWhen the editors of Philosophy, Psychiatry, & Psychology asked me to make some brief comments on two articles for the special issue edited by Pérez-Álvarez and Sass, I was delighted to accept, thinking that the task would be a straightforward one, and that I could easily meet the agreed deadline. But nothing could be further from (...) the truth. The articles were of such density and their content of such profundity that it took months of interpretation and study, and of bringing my own knowledge up to date, before I was in a position to understand the concepts, adjust my beliefs, and make some comments. I could certainly have delivered some kind of eulogy about the brilliance of their content; I might have countered with my own article. However, what seemed most coherent to me was to meet their arguments head on and deal with what I consider to be their principal weaknesses, leaving the bouquets for the end.The articles set out, as I understand them and within the clinical context, to relate phenomenology, in its most traditional form, with the most current form of Skinnerian behaviorism, situating themselves in a contextualism that is, at the same time, close to and removed from the most radical type of social constructionism.But let us begin by looking more closely at “Phenomenology and Behaviorism.” It is novel for me, though Professor Pérez-Álvarez had already proposed it several years ago (Pérez-Álvarez 1992), to view operant behavior as intentionality, or at least as involving final causality according to the Aristotelian classification. It is a surprising contention, not least because, as I recall, Skinner lived in a time and a context (historical reason) in which the basic goal of psychology was to convert itself into a natural science, comparable in all respects to physics, which it took as a model, focusing therefore on efficient causality (also according to Aristotle’s terminology), so that behavior was considered as the immediate consequence of a stimulus, and the stimulus–response association became the cornerstone of the discipline. It is true that the operant behavior concept refers to the functional relationship between behavior and reinforcement, but it is no less true that Skinner’s definition of reinforcement is totally empirical—“all that which increases or decreases the probability”—meaning that reinforcement can be considered neither as a motive nor as a reason for behavior, unless it be in the eyes of the observer. [End Page 251]Furthermore, even though Yela (1987) refers to Ortega y Gasset’s formula “I am myself and my circumstances” as a Skinnerian approach, the truth is that Yela himself argues that it is precisely the self that constitutes personality, such that I have a personality because I am me, and not vice versa, as Skinner would appear to argue. In this regard, Ortega’s celebrated formula has generally been interpreted, from the most personalist perspectives, as “the circumstances are myself”—to highlight the denial of the psychological subject by radical behaviorism (Mischel’s [1968] criticism of the concept of personality is relevant here). On top of this, Skinner’s rejection of all that was not directly observable, or at least, that could not be operationalized, calls into question the admissibility of anything called final cause or intentionality of behavior. In his philosophy, all the indications are that contingencies are what determine behavior; and that there would be no room for a structural causality, as Althusser would argue, or of a reciprocal determinism, in Bandura’s terms, or even of an interaction between subject and environment, as modern interactionists would maintain. “I am myself and my circumstances” seems in Skinner to become “the circumstances are me”, and indeed, the reinforcement history – which in the article in question is considered as something akin to the Sartrian idea of “life project” – is for Skinner nothing more than a continuous association of events. In my view, Ortega’s perspectivism would perhaps be closer to the sociology of the American action theorists, Merton, Parsons, etc., than to Skinnerian behaviorism, since “action”—as the action theorists... (shrink)

We are dealing with the Dirac Hamiltonian H = H0 + V with no magnetic field and radially symmetric electrostatic potential V = V(r), preferably the Coulomb potential. While the observable H is precisely predictable, its components H0 (relativistic mass) and V (potential energy) are not. However they both possess precisely predictable approximations H0 ∼ and V∼ which approximate accurately if the particle is not near its nucleus. On the other hand, near 0, H0 and V are practically unpredictable, perhaps (...) in agreement with the fact, that a neutrino also should be in the game. [We have not yet studied the corresponding observables for the (≥ 12-dimensional) problem of electro-weak interaction.] Mathematically we are focusing on the spectral theory of the unbounded self-adjoint operators H0 ∼ and V ∼. We can prove that V ∼ is unitarily equivalent to V(r) again, by a unitary map given as Wiener-Hopf-type singular integral operator in the standard separation of variables for radially symmetric Dirac Hamiltonians. [This is, as far as the continuous spectrum is concerned.] Very similar unitary equivalence holds for H 0 ∼ and H 0. We are tempted to regard this as a form of “renormalization”. (shrink)

Nick Dyer-Witheford and Greig de Peuter. Games of Empire: Global Capitalism and Video Games . Minneapolis: University of Minnesota Press. 2009. 320pp. pbk. $19.95 ISBN-13: 978-0816666119. In Games of Empire , Nick Dyer-Witheford and Greig de Peuter expand an earlier study of “the video game industry as an aspect of an emerging postindustrial, post-Fordist capitalism” (xxix) to argue that videogames are “exemplary media of Empire” (xxix). Their notion of “Empire” is based on Michael Hardt and Antonio Negri’s Empire (2000), which (...) characterizes the contemporary world order as a decentralized system of global economic, political, and economic power that transcends national boundaries. In the view of the authors, Hardt and Negri’s account sets itself apart from other analyses of international politics by offering a “comprehensive account of conditions of work, forms of subjectivity, and types of struggle in contemporary capital” (xx). Dyer-Witheford and de Peuter thus divide Games of Empire into three sections to reflect each of these aspects of Empire ’s argument, seeing their work as the first account to explore “virtual games within a system of global ownership, privatized property, coercive class relations, military operations, and radical struggle” (xxix). Books in the University of Minnesota Press’s Electronic Mediations series “explore the humanistic and social implications” of new technologies that spark “significant changes in society and culture, politics and economics, thinking and being.” That’s an abstract goal, and one that Games of Empire surely meets. Yet at times it can be difficult to understand exactly which specific intervention this book seeks to make. It is unclear whether the authors of Games of Empire see their work as an indictment of game scholars’ lack of attention to political economy, or whether it’s a work of political theory hoping to show that other disciplines should be paying more attention to the production and play of videogames. Because Dyer-Witheford and de Peuter don’t directly criticize previous political critiques of gaming—such as Edward Castronova’s exploration of the “porous membrane” allowing two-way traffic between virtual economies and those of the real world, or Alexander Galloway’s unraveling of control protocols in algorithmic design, or Ian Bogost’s idea of political procedural rhetoric—they sometimes leave the reader wondering how to situate the book in the broader discourse on games and politics, either separately or together. Thus, Games of Empire might best be seen as an introduction to the writings of Hardt and Negri for game players and designers, rather than as a text for communicating the basic concepts of game studies and design. It is neither a truly new theory of games or digital media, nor is it a new theory of Empire—and that’s not a criticism. It is instead an introduction to Empire through popular culture, as Zizek does for Lacan in Looking Awry . If one were teaching an introductory course on contemporary political theory, this book would offer obvious inroads into Negri and Hardt’s thinking for a number of reasons. Despite its radical ideological bent, the book isn’t off-putting to readers who don’t necessarily share the authors’ politics. It synthesizes complex ideas from difficult thinkers like Marx, Foucault, and Guattari while integrating modifications and critiques of Empire theory itself. And although the book is dense, sometimes feeling longer than it actually is (just over 200 pages), Games of Empire maintains a breezy readability by tightly coupling core concepts of Empire theory to well-known games and widely-publicized conflicts within the videogame industry. The first section of the book focuses on immaterial labor, the accumulation of “cognitive capital,” and the global process of manufacturing videogame consoles. It is significant for the authors that videogames began as hacker experiments within research institutes of the military industrial complex, programmed on stolen time, before becoming a commodity (7). This is the first in a string of examples showing how creative dissidence and conflict fuel the continuing evolution of Empire’s control. Dyer-Witheford and de Peuter explain that the videogame industry now constitutes an international production apparatus dominating both creative work in developed nations and manual labor in developing ones. Because game industries in the United States, Western Europe, and Japan are predominately non-unionized, they serve as an exemplary system for analyzing how global capital exploits contemporary intellectual work—including an excellent analysis of the “EA Spouse” scandal of 2004. On the side of the consumer, the authors argue that rabid “console races” that drive the industry forward from a technological perspective serve to structure gamer identity and combat piracy; later in the book, these machines offer a window into the worlds of Congolese coltan mining and electronic waste (222-224). In the second section, Dyer-Witheford and de Peuter move on to deep case studies of individual games to show how the most popular game genres embed imperial assumptions about conflict, exchange, and urban life. First they argue that military training games such as Full Spectrum Warrior —co-developed by university researchers, industry developers, and military contractors—contribute to the “banalization” of war, a subjective state wherein perpetual preparedness for war is accepted as a part of everyday life (100). Chapter five covers Michel Foucalt’s notion of “biopower,” the extension of capital accumulation to life itself. The authors argue that virtual worlds such as World of Warcraft , which take market capitalism as a given and force players into essentialist roles and racial antagonisms, are organized to maximize control and profit (often on the backs of virtual currency “farmers” in China and southeast Asia). Finally, they criticize the naïve assumption that humor and cynicism in the popular sandbox game franchise Grand Theft Auto offer any remedy to its racialized, violent content. Instead, such games indulge and normalize the fantasy of getting rich at any cost by keeping the realities of contemporary urban life and corporate greed at a safe distance (181). Part three of Games of Empire focuses on “games of multitude,” a preliminary attempt to escape from Empire’s order through alternate modes of videogame development and play. Multitude is defined dialectically, as “the engine and the enemy” of Empire (187). This is the most important, yet also most contradictory section of the text. It lays bare the process by which Empire and its media feed our creative and intellectual development to overabundance. At a certain point, the force of the multitude reaches such a level that it threatens the stability of Empire; however, instead of following Hardt and Negri’s utopian assumptions about the radical potential of the multitude, the authors here follow Paolo Virno’s warning that Empire is “very good at adopting apparently iconoclastic practices and utopian ideas as management techniques and revenue sources” (188). At every turn, advances in player configurative power provide new sources of revenue and advertising angles for the game industry. A disappointing shortcoming of these latter pages is the lack of truly new examples for radical resistance within game development. Instead, it turns out that the radical left seems satisfied with the same mild successes that the left-of-center also has celebrated: artist’s mods, virtual world activism, and critical counterplay within strategy- and wargames. Having been frequently cited by many authors before Dyer-Witheford and de Peuter, this idea of subversion or resistance through play feels tired and unpersuasive. It is unclear if the authors believe it is possible to embrace game design itself as a way of pursuing what they call “exodus” from Empire, or if an all-too-fashionable subversion is the only workable strategy. While the book does explore how the earliest independent game studios were eventually subverted and incorporated into the game industry proper, it doesn’t affirm or critique more recent non-commercial, DIY game development projects such as Klik-of-the-Month Club and Ludum Dare. Dyer-Witheford and de Peuter’s analysis of so-called “tactical games,” including the editorial works of La Molleindustria, leads to an even more ambivalent take on the contemporary design ecology. At the conclusion of his essay on “Countergaming,” Galloway asserts that avant-garde videogame artists “should create new grammars of action […] should create alternative algorithms” (Galloway 125). Yet Dyer-Witheford and de Peuter characterize works such as McDonald’s Video Game and Oiligarchy as didactic, suggesting that the role of radical political games might be “limited to that of agitprop” (199). They are concerned that games like those of Molleindustria rigidly structure the activities of their players in order to prove a point. Yet, despite their repeated assertion that the equation of greater interactivity with democratic digital liberation is flawed, the authors see potential in policy simulators that “allow players to edit or tweak” (202) their parameters in response to what Bogost has called simulation fever , the simultaneous drive toward and fear of simulation (Bogost 108). The possibility of practicing radical design is bucked, and early attempts at critical game development like those of Molleindustria’s seem to be relegated to the status of exceptions that prove the rule for player-centered exodus. Overall, there is one glaring question Games of Empire leaves unanswered: how exactly are videogames the “exemplary media” of Empire, and what are the implications of videogames being exemplary in this way? Presumably Dyer-Witheford and de Peuter want to avoid essentialist claims, so they’re not keen on following Wark’s desire to mark “the game’s difference from [legacy media] as something that speaks to changes in the overall structure of social and technical relations” (Wark 225). It is also unclear how the production apparatuses, labor standards, and subjectivizing processes involved in the creation and use of other any other kind of digital media would fail to justify their equally exemplary status. Even the book’s concluding paragraph holds that virtual games “are one molecular component of this undecidable collective mutation” (Dyer-Witheford and de Peuter 229) of intellect, labor, and daily life. In the end, the authors seem to back away from their focus on games as exemplary to bring their work in line with broader theories of the gradual digitization of the everyday, in line with Galloway and Manovich. Despite these flaws, there is an undeniable elegance to Games of Empire ’s contrasting of gaming’s overwhelmingly imperial content with its multitudinous form . And its ambivalence about the potential of independent or political game development might be seen by scholars of Empire as a strength rather than a weakness, an acceptance that every new expression of multitude offers another opportunity for the expansion of Empire. The book also functions as a strong, all-encompassing call to greater responsibility on the part of mainstream game developers to be more conscious of the ideologies they embed in their work, of the way their intellectual property is used and manipulated by those who employ them, and of the material impact their industry has on the world at large. For players it offers a toolbox of concepts for radical examinations of their own play activities, asking them to be more cognizant of the consequences of their consumption of digital media and the ways in which their virtual lives interface with the real. REFERENCES Bogost, Ian. Unit Operations: An Approach to Videogame Criticism . Cambridge, Mass.: MIT Press, 2006. Castranova, Edward. Synthetic Worlds: The Business and Culture of Online Games . Chicago, Illinois: University of Chicago Press, 2006. Dyer-Witheford, Nick and de Peuter, Greig. Games of Empire: Global Capitalism and Video Games . Minneapolis, Minnesota: University of Minnesota Press, 2009. Galloway, Alexander. Gaming: Essays on Algorithmic Culture . Minneapolis, Minnesota: University of Minnesota Press, 2006). Wark, McKenzie. Gamer Theory . Cambridge, Mass.: Harvard University Press, 2007. (shrink)

In this paper we introduced various classes of weakly associative relation algebras with polyadic composition operations. Among them is the class RWA of representable weakly associative relation algebras with polyadic composition operations. Algebras of this class are relativized representable relation algebras augmented with an infinite set of operations of increasing arity which are generalizations of the binary relative composition. We show that RWA is a canonical variety whose equational theory is decidable.

The concept of innovation defines our age. It fuels the global economy, promises a sustainable future, and stands at the heart of our interconnected society. On the one hand, the concept of innovation is widely presupposed in terms of the commercial value it generates. As claimed in the tradition of economic analysis, innovation is characterized by its competitive dynamics and primarily directed at developing marketable products and services. On the other hand, the reality of today’s global issues, such as climate (...) change and food security, urges innovation to generate societal value beyond mainstream economic incentive. To this end, the EU policy discourse has paved the way for Responsible Innovation. The core idea here is to steer innovation processes towards societally desirable outcomes, specifically in response to the ‘grand challenges’ of our time. Under the sway of ‘science with and for society’, the hypothesis is that innovation can only respond to the needs and ambitions of society by including all its actors throughout the process. However, while much effort is dedicated to governing innovation, little thought goes to what innovation itself means conceptually. What understanding of innovation underpins the framework of RI? What implications, if any, does this have for the ambition to achieve RI? These are important questions to raise as they enable critical reflection on the relation between responsibility and innovation, broadly speaking. Does the ‘R’ in RI entail an application of ethical keys to an already existing concept of innovation, or does it require us to rethink the concept of innovation altogether? After providing a general introduction in chapter 1 on the context of the dissertation and its main research objectives, chapter 2 shows how RI emerged from a longer history of efforts to incorporate ethical dimensions in new and emerging technologies, such as Technology Assessment and Science and Technology Studies. While similar to its precursors in prioritizing ethical concerns, RI clearly distinguishes itself by shifting from an ethics of constraints to an ethics of construction. The chapter continues to show that such an approach comes with an epistemic challenge, a political challenge, and a conceptual challenge. Through an extensive analysis of policy documents and academic literature, chapter 3 breaks open the concept of innovation in the RI discourse. Firstly, it demonstrates that the RI discourse tends to presuppose a techno-economic concept of innovation, as coined by the terms ‘technological innovation’ and ‘commercialized innovation’. Secondly, it provides a historical analysis to show that the concept of innovation was originally politically oriented and had little to do with the way in which it is commonly understood today. Thirdly, it discusses the implications of a techno-economic concept of innovation for achieving the ideal of RI and brings into question whether the political origins of innovation may inspire an alternative route. Chapter 4 engages with the philosophy of technology to assess the feasibility of RI at both an ontic and ontological level. While innovation at the ontic level refers to concrete innovative artefacts, innovation at the ontological level refers to the mode through which these artefacts are seen, understood, and created. At the ontic level, RI is shown to play a significant role in steering emerging technologies towards societally desirable outcomes. Even so, at the ontological level, the question is whether the ideal of RI is feasible insofar its scope is limited to governing a techno-economic concept of innovation. Parallel to Martin Heidegger’s view of technology as Enframing, this chapter denotes that in trying to govern a techno-economic concept of innovation, the RI discourse remains subject to its dominance. This in turn explains why, at the operational level, RI is often employed for mere strategic and instrumental purposes, while falling short on its promoted ambitions. Chapter 5 articulates an orientation shift from a techno-economic concept of innovation towards a political concept of innovation in the RI discourse. To this end, the chapter distinguishes between weak RI, which seeks to govern a techno-economic concept of innovation through an applied set of ethical dimensions; and strong RI, which seeks to conceive a political concept of innovation beyond techno-economic ideology and practice. Inspired by the work of Hannah Arendt, the chapter establishes a political concept of innovation that actualizes the human capacity for speech and action, inspires radical novelty, and empowers the public sphere. In doing so, the chapter concludes that strong RI is principally a plural undertaking which guards individual opinion from collective opinion; enables a physical and symbolic openness that genuinely activates citizenry; and stimulates performative speech. The final chapter, chapter 6, briefly recaps the main research objectives and takes stock of the insights gained. It concludes that the contribution of this dissertation does not reside in the concern with the techno-economic ideology of innovation as such – a concern which RI in fact already expressed when it first emerged – but more so in the ontological critique to the idea that this ideology can somehow be overpowered through governance and regulation. The rehabilitation of an ontological dimension in RI in turn provides a new perspective to the philosophy of technology, which over the years has taken a course away from ontological viewpoints. Moreover, the chapter elaborates on how a political concept of innovation adds depth to the foundational claims of RI. Based on these conclusions, the chapter reflects on a range of broader insights, particularly in relation to the philosophy of innovation and the ethics of socially disruptive technologies. In sum, this dissertation politicizes the RI discourse precisely in the way it was originally envisioned, that is, through conceptualizing innovation as a fundamentally political matter. In this view, politics is not merely an extension of RI but is itself the condition of RI; it is what enables innovation to genuinely serve the public good. (shrink)

Translated by Drew S. Burk and Anthony Paul Smith. Excerpted from Struggle and Utopia at the End Times of Philosophy , (Minneapolis: Univocal Publishing, 2012). THE END TIMES OF PHILOSOPHY The phrase “end times of philosophy” is not a new version of the “end of philosophy” or the “end of history,” themes which have become quite vulgar and nourish all hopes of revenge and powerlessness. Moreover, philosophy itself does not stop proclaiming its own death, admitting itself to be half dead (...) and doing nothing but providing ammunition for its adversaries. With our sights set on clearing up this nuance, we differentiate philosophy as an institutional entity, and the philosophizability of the World and History, of “thought-world,” which universalizes the narrow concept of philosophy and that of “capital.” We also give an eschatological and apocalyptical cause to this end, of “times” or “ages” rather than those of philosophical practice. Last but not least, it is the Future itself in the performativity of its ultimatum that determines this end times, reversing these times from the Identity the Future accorded to it, withdrawing the thought-world from the lie of its death. Why this style of axioms and oracles, these more or less subtle distinctions, old and debased, with an appeal to the ultimata , to end times and last words? We fight to give, parallel to the concept of Hell, its new theoretical position, for its philosophical return and its non-philosophical transformation. No more so than any other word, Hell is not a metaphor here, just the Principle of Sufficient World. Every man, no doubt, has his “hell” readily available, connivance, control, conformism, domestication, schooling, alienation, extermination, exploitation, oppression, anxiety, etc. We have our little list that the Contemporaries established in the previous century in the same way one used to construct lists of virtues and vices or honors and wealth. They invented it for us without knowing it, for us-the-Futures who have as our responsibility to invent its use. In the Christian and Gnostic tradition, the struggle of the End Times takes place “on earth.” The most sophisticated of believers have it taking place in Heaven as well, above all in Heaven. The various kinds of gnosis imagine infinite falls and vertiginous highs, the vertigo of salvation. On Earth as in Heaven, a hell is available. The Marxists have the law of profit and the control of production, the class struggle Capital imposes on man. The Nietzscheans, the dull grumble of the struggle in the foundations of World and History, the domestication of man, the society of control. The phenomenologists, the capture of being, the most superficial amongst them, the age of suspicion. But all of these “hells” are taken from World, History, Society, and Religion. What we call Hell is no longer of the order of these specific and total intra-worldly generalities, it is both more singular and more universal, no longer being at all of the same order, it is the determinant Identity of these small hells strung out through history but unified here in the name of the last Humaneity. It is even found within the French idiom for hell [ enfer ], en-fer literally means “in-irons.” We are as much “in-irons” as we are “alive” [ en-Vie ]. We believe in Hell but as non-philosophers and it is even because we are non-philosophers that we can believe in it outside of any sort of religion. Hell is less mythological than ideological, it combines philosophizability with universal capital. Under what form? A single term could work for them without being a metaphor or something they would participate in by analogy, a more innovative and conjectural term than control, more universal than profit. It would denote the growing and permanent extortion of a surplus-value of communication, of speed and of urgency in change, in productivity and in work, in the pressure of images and slogans. It would be worse than solicitation, more tenacious than capture, more active and persecutory than control, softer and more insidious than a frontal attack, just as perverse as questioning and accusation, less brutal and offensive than extermination, less ritualized than inquisition, it would be soft and dispersed, instantaneous and vicious, it would be a crime without declared violence. Collusion and conformism, it would be afraid to show itself. Related to rumor, from which it borrows its infinite and tortuous ways. It is harassment. As a modernized form of Hell, perhaps harassment has a long future in front of it, of innocent torture, slow assassination, in short the fall, but radical with no way of recovering and which tolerates only salvation. THE PHILOSOPHICAL PAST OF NON-PHILOSOPHY Non-philosophy is thus Man as the utopian identity of the philosophical form of the World, a utopia destined to transform it. We still have to understand these equations, in particular that of the being-uni-versed from Man, and this book adheres to this by re-exposing non-philosophy in a different way via one of its new possibilities. It uses this opportunity to once again take up formulations that lead to objections answering certain external critics, as well as revisiting diverging interpretations specific to non-philosophers. A portion of this book is devoted to going through these theories via a strict or “lengthy” presentation of non-philosophy, and its defense against more expeditious solutions. This work of rectification is the occasion, merely the occasion, for refocusing non-philosophy on Man (the “Man-in-person,” “Humaneity”), and in a more innovative manner, on its utopian vocation established since the book Future Christ . As for this “occasion,” it is quite obvious. A school of posture, not to say a school of thought, supposes a minimum of closure from the most liberating of knowledge, a heritage, its utilization, and its no less certain dispersal. Within its development, a variety of interpretations will no doubt appear, deviations that are as much normalizations, and a struggle against this multiplication of divergent tendencies. These are perhaps not inevitable evils, especially here, merely a normal development according to the twisting paths of history. But the problem is made worse by the fact that this school of non-philosophers is that of utopia. Not the former attempts devoted to commenting on the worst authoritarian and criminal forms of the past and the present, but utopia as the determinant principle for human life, or to put it another way, of the Future as an irreducible presupposition of (for) thinking the World and History. Non-philosophers are engaged in an aleatory navigation between the respect for the most rigorous utopia, whose rules are not that of the reproductive imagination but those from the Future determining imagination itself, as well as the temptations, diversions, and remorse of history. Little by little, we will begin to understand that the Future as we understand it no longer has any temporal consistency or positive content, without being an empty form or a nothingness, but that it is foreclosed to past and present History, just as it is foreclosed to the place of places, the World, and that it is the only method for establishing the practice of thinking in a non-imaginary instance. Because it is the World and History that are imaginary and have a terrible materiality, it is not necessarily utopia. We will overlap two objectives here: the defense of non-philosophy against the (non-) philosophers that we are, only occasionally, and the introduction of philosophy to a rigorous future. Together they set out to definitively render, without any possible return to philosophical conformism or towards the facilities of the past and present, the non-philosophical enterprise understood as utopia or uchronia. Imagination and speculation, left to themselves and thus undistinguished, are quite good for participating in the grand game of History but have little value or worse for the Future which is unimaginable and unintelligible and must be maintained as such. MAN-IN-PERSON AS SUSPENSION OF THE PHILOSOPHICAL CHORA The point where philosophical resistance is concentrated is without a doubt the invention of the Name-of-Man, first name, oracular as much as axiomatic, of the determining cause for the non-philosophical posture. And that which concentrates the differends is the style of non-philosophy as identity that possesses the dual aspect, of discipline and of the oeuvre, of the theorem and of the oracle. But the real difficulty in understanding the simplicity of non-philosophy is profoundly hidden in the depths of philosophy itself. Because philosophy, from Parmenides to Derrida, even Levinas, continues to be a divided gesture, without a veritable immanence, transforming its thematic contents of transcendence in also forgetting to transform the operative transcendence in the element from which the ontology of surface is established which we will call, in memory of Plato, the chorismos. The general effect of the chora literally gives place to philosophy, demanding binding and sutures to which we will once and for all “oppose” the Man-in-person, his power of cloning, and his future being. All philosophy contains a hinter-philosophy in which it deploys its operations and weaves its tradition like an understudy of a topographical nature and in the best of cases being itself topological. Philosophy as well consists of two levels, its pre-ontological operative conditions on the one hand, and its superficial theme on the other, it too has its presupposed, but is not aware of it or erases it within the unity of appearance named Logos. Rightly, the Logos, and its flash or lightning nature, possesses a “dark precursor,” the chora, which is as much a virtual image, and philosophy, dazzled by its own lightning flash, seems to completely forget about it at the same time it sets itself up within it. Non-philosophy risks taking this same path, of confusing what it believes to be the real with its phantom double, contenting itself to working on the thematic level of philosophy, not its surface objects and its idle chatter (we stopped talking about this a long time ago and in any case they are merely simple materials for inducing a work of transformation), but the transcendence-form of its objects. In the end it risks, through precipitation, taking back up the heritage of philosophy, a heritage of a misunderstood presupposed, even more profound than the play of transcendences. This is what the imperative of the radicality of immanence meant, to treat immanence in an immanent manner, not to make a new object out of it. And from here we get non- (philosophy) and its refusal of the Platonic chorismos , symbol of all abstraction, and thus all transcendental appearance. There are no illusions. The message will leave a heritage in tattered pieces and interpretations. But it was difficult not to dispute the differend to its core. There will be complete confusion of the multiple, possible, and necessary effectuations of non-philosophy with its interpretations. The non-philosophical or human freedom of philosophical effectuation and the philosophical freedom of interpretation. Effectuations demand non-philosophy to return to zero from the point of view of its philosophical material and thus also but within these limits the formulation of its axioms , but in no way providing from the outset divergent interpretations of the aforementioned axioms. They are divergent because they do not take into account the material from which these axioms are derived within non-philosophy, and because they do not see themselves as symptoms of another vision of the World. The utterances of non-philosophy are not mathematical theorems and pure axioms, they merely have a mathematical aspect . They are, by their extraction or origin, mathematical and transcendental. And by their determined function in-Real, within non-philosophy, they are identically in-the-last-Humaneity entities which have an aspect of an axiom and an aspect of interpretation (or an oracular aspect as we say) that attempts (sometimes it is ourselves who provide the occasion) to isolate and transform, in complete freedom of interpretation. There will be an opportunity to complain about the complex character of the language of non-philosophy, an idiom saturated with classical references, sophisticated in a contemporary way. Its freedom of decision up against the whole of philosophy demands these effects of “complication” and “privatization,” as the saying goes. But it also demands fighting against the drift [ dérive ] of the pedagogical-all and the mediatic-all that leads philosophy into the shallow depths of opinion, which is the site of its impossible death. The noble idealism of “pop-philosophy” has been consumed into a “philo-reality;” against this we propose philo-fiction. Parricide, which is at the bottom of these interpretations and which we can judge as being quite fertile, although it has informed tradition, only takes place once or within one lone meaning. In regards to Parmenides, it was possible; Plato introduced the Other as non-being and language, bringing into existence the philosophical system of the World, but is it possible to repeat it again with the same fecundity in regards to non-philosophy, this time in introducing (non) religion or (non) art, still mixing them without taking into account this mixture, alternatively as a philosophical or religious resentment? If philosophy begins via a crime, it is no doubt obliged to continue down similar pathways, to the effect that the crimes of philosophy, once the founding crime has been committed, are a reaction of self-defense. It is undoubtedly from this that we get Marx’s declaration that history begins by tragedy and repeats itself or ends in farce. The preservation of rigor and fecundity is, in every respect, a psychologically difficult task within a theory such as non-philosophy. Having posited an essential objective of liberation in regards to philosophy and its services, one has often understood this objective as an authorization of providing particular interpretations of its axioms and ends up obliterating their scope. This ends up confusing, on one hand, two kinds of freedoms in regards to non-philosophy, the freedom of its interpretations and the freedom of its effectuations. On the other hand, any defense of “principles” against precipitated interpretations is immediately taxed with a will to orthodoxy, a prohibitive objection when we are dealing with, as is the case here, a heretical theory of thought. Nevertheless, it is time to stop confusing heresy as the cause of thought with an ideology of heresies, which is certainly not at all our object, but rather a form of normalization. As for the “disciplinary” aspect, which is not the only aspect, it demands something other than philosophical “answers to objections,” a precision in the definition and use of its procedures in the formation of utterances, since non-philosophy is neither a supplementary doctrine interior to philosophy nor a vision of the world but one whose priority is a “vision of Man,” or rather Man as “vision” that implies a theory and a practice of philosophy. In the end, struggle is only one aspect of non-philosophy, not its whole or telos, struggle coming only from its materiality. In particular, if the discipline of non-philosophy is inseparable from struggle, it is not a question of reducing the monomaniacal obsession of its “marching orders.” This would reduce its complexity and kill its indivisibility, deploying it in a “long march” and a form of Maoization whose philosophical presuppositions no longer have any pertinence here, a case of the One and the Two, which are now cloned and no longer tied together. More generally, non-philosophy is a complex thought composed of a multitude of aspects, which is to say, unilateral interpretations, of a philosophical origin but reduced by their determination in-the-last-instance . The “liberalism” of non-philosophy is merely one of the aspects of which it is capable, not an essence. Similarly, it is only capable of having a “Maoist” aspect. Let us generalize. The weakness of non-philosophy is due to a specific cause, the determination-in-the-last-Humaneity of a subject for the World. Everything that has a right to the philosophical city can be said about it in turn and in a retaliatory mode since Man contributes nothing of himself that Man takes from the World. We can consider non-philosophy as being pretentious, absurd, idealistic, empty, materialistic, formalistic, contradictory, modern, post-modern, Zen, Buddhist, Marxist; it endures or tolerates, perhaps “appeals” to, or at least renders possible, sarcasms, ironies, and insults without even talking about the misunderstandings, partly for the same reason as psychoanalysis. All of this goes beyond simple “deviations.” They are its aspects, which is to say, its “unilateral” philosophical interpretations in both senses of the word, being either sufficient coming from the mouth of philosophers, or reduced to their absolute dimension of sufficiency and totality in the mouths of non-philosophers, and both times due to the weakness and strength of Man-in-person as their determination only in-the-last-instance. The non-philosopher is certainly not a Saint Paul fantasizing about a new Church. The non-philosopher is either a (Saint) Sebastian whose flesh is pierced with as many arrows as there are Churches, or a Christ persecuted by a Saint Paul. What is engaged in here is the practice of retaliation. A negative rule of the non-philosophical ethics of outlawed discussion by way of argumentation (the sufficient is you, the orthodox one is always you, you are the fashionable one, and when a master you are someone else) that is founded on the confusion of effectuations of non-philosophy and of its overall interpretations. Retaliation is the law but as with any too-human law, it must acquire a dimension that displaces it, or rather emplaces it and takes away its authority but not all of its effectiveness. If the non-philosopher is only authorized by himself, which is to say by philosophy but limited by the Real-of-the-last-instance, its critique of other non-philosophers can merely be retaliatory under the same conditions, only by the Real limited in-the last-instance. THE TREE OF PHILOSOPHICAL SAINTLINESS The thematic horizon or material of these debates is in the relationships between philosophy, religion as gnosis, and non-philosophy. It is inevitable, regarding non-philosophers in general (whether they are non-philosophers by name or simply its neighbors) that we often end up evoking Marx’s Holy Family and imagining, arranged on the neighboring branches of the tree of philosophy and annexed, sometimes abusively, to non-philosophy, authors who would quite evidently and quite rightly refuse this label. So it is that we find, for example, a Saint Michel, a Saint Alain, a Saint Gilles 1 without even mentioning the youngest who aspire as well to the freedom of “saintliness” and who make their muted voices heard here. If there is a Holy Family of non-philosophers, it extends completely beyond these three, provided that the sectarian spirit can save us. This book is organized in the following manner: To begin, in order to recall the essential part of the problematic, we have organized a Summary of Non-Philosophy , a vade-mecum of notions and basic problems, in a classical style. Secondly, there is Clarifications On the Three Axioms of Non-Philosophy , designed to posit their proper use as much as to elucidate their meaning. Thirdly, an analysis of Philosophizability and Practicity , both being extreme constituents of philosophical material or the contents of the third axiom. Fourthly, the heart of this work: Let us Make a Tabula Rasa of the Future or of Utopia as Method . Fifthly, we have a theoretical outline of a non-institutional utopia, The International Organization of Non-Philosophy, L’Organisation Non-Philosophique Internationale, (ONPHI) already created in practice but under the conditions of possibility and functioning from which here we put into question “de jure,” thus not without a perplexity concerning “facts,” in any case, without the capability of “getting to the bottom of things.” Sixthly, an essay characterizing The Right and the Left of Non-Philosophy , a brief topology of several philosophizing and normalizing positions of proponents or tenants of this problematic. Seventhly, Rebel in the Soul: A Theory of Future Struggle , a systematic discussion starting from a confrontation of non-philosophical gnosis and non-religious gnosis to the extent that they pose, posed or perhaps still will pose themselves as rivals to non-philosophy in a mixture of fidelity and infidelity. Despite the fact that it can also be read as putting non-philosophy into perspective: it pits against a standard Platonism two contemporary appropriations of Gnosticism. On the basis of the paradigm of Man who never ceases to come as the Future-in-person, each one of these moments strives to reestablish not the “true” non-philosophy and its orthodoxy, but the minimal conditions to respect in order to allow for its maximum fecundity. And in order to bring about one of the last possibilities of its development, making explicit Humaneity as a utopia-for-the-World. In introducing these considerations in the form of a “testament” and “ultimatum,” we want to indicate two things: First, that this is the last time we will intervene in order to caution non-philosophers against the temptation of returning and looking backwards towards philosophy. Only a disillusioned nostalgia for the former World and its traditions barely remain permissible to us.… Secondly, that non-philosophy is also a sort of ultimatum for considering one’s life and transforming one’s thought from the perspective of a uni-version rather than a conversion. Man as future is this ultimatum in action, not an impatient self-proclaimed genius, and philosophy is his testament. It is obviously the ultimatum that determines this testament as “old” with a view towards a life that is, itself, non-testamentary. In and of itself, the “old” can never bear a veritable eschaton. Thus, this book intersects according to the logic of this paradigm, under the sign of the ultimate or “last” as future, philosophy as testament and cautionary note for maintaining the non-philosophical oeuvre as “future” or “utopian.” We will see that between these two dimensions it cradles a theory of struggle. In the end, this book envisions non-philosophers in multiple ways. It inevitably sees them as subjects of knowledge, most often academics insofar as life in the world demands, but above all as close relatives of three great human types. The analyst and political militant are quite obvious, for non-philosophy is close to psychoanalysis and Marxism insofar as it transforms the subject in transforming philosophy. Here again, one must have a sense not of certain nuances but of aspects (of the interpretations, albeit unilateralized) and not in order to construct a simple proletarization or militarization of thought as theory. To be rigorous, rather than authoritarian or spiteful, is its task. And lastly, non-philosophy is a close relative of the spiritual but definitely not the spiritualist. Those who are spiritual are not at all spiritualists, for the spiritual oscillate between fury and tranquil rage, they are great destroyers of the forces of Philosophy and the State, which are united under the name of Conformism. They haunt the margins of philosophy, gnosis, mysticism, science fiction and even religions. Spiritual types are not only abstract mystics and quietists; they are heretics for the World. The task is to bring their heresy to the capacity of utopia, and their utopia to the capacity of the paradigm. NOTES We will recognize allusions, and sometimes references, to closely related or distant themes, but which are related, in the work of Michel Henry, Alain Badiou and via the representative of “non-religious” gnosis of a Platonic origin, in Gilles Grelet. It goes without saying that these discussions are current and local, neither concerning the ensemble of doctrines nor prejudging the eventual evolution of certain amongst them. This concerns defining certain proximities with non-philosophy (rather than adversaries which in some sense they are) and typological and emblematic differends (rather than conflicts with a certain author). (shrink)

Nancy has been criticised for rejecting the politics of emancipation that characterises the thought of some of his more militant contemporaries. To be sure, he does distance himself from the rhetoric of emancipation. He considers that the grand modern emancipation narrative of the Enlightenment, and of the revolutions of the late eighteenth century, expired with the end of the Cold War, and that the ideal of emancipation carried by this narrative is dangerous insofar as it imposes “ultimate sense” on history (...) and assumes an “essence of humanity” that is to be liberated. It would be a mistake, however, to assume that Nancy’s rejection of the modern, linear account of emancipatory politics is a refusal of emancipation per se. Indeed, his reason for rejecting modernity’s simple narrative of emancipatory progress is that this framing of history is by a long chalk not emancipatory enough, and that it has far too much in common with the identitarian politics against which it seeks to set itself. So it should come as no surprise that Nancy uses emancipatory language in his very rejection of the politics of emancipation, arguing for example that we need “emancipation from a certain thinking of emancipation.” This article makes the case for Nancy as a rich and radical thinker of emancipation whose thought, far from being apolitical when it comes to liberation, offers us a broad, robust and practical account of the emancipatory. This case is made by weaving together two important strands of Nancy’s thought. First, his deconstruction of Christianity is examined in the light of the claim that Christianity is “in itself and by itself in a state of surpassing” and that Christianity’s self-surpassing is “perhaps its deepest tradition.” This leads, secondly, to a consideration of Nancy’s frequent meditations on Pascal’s statement that “man infinitely exceeds/surpasses man.” When they are taken together, what emerges from these two strands of Nancy’s thought is a pattern of emancipation that goes beyond simple historical ruptures to operate across multiple temporalities at once, each populated by plural vectors of continuity and change. Nancy seeks emancipation from a double slavery: the slavery of absolutising a continuity with the past, and that born of the ideological fantasy of a simple rupture with the past. Instead, he offers us an account of emancipation that is capable of navigating a subtler course through multiple dynamics of continuity and change. The article concludes by briefly examining Nancy’s use of the term ressourcement to characterise this radical account of emancipation, evoking the importance of the gesture described by this term for the biblical prophets, for the magisterial reformers and for Vatican II. Far from being weak in its emancipatory potential, Nancy’s thought takes the modern emancipatory imperative and returns it to us with greater depth, breadth and potency. (shrink)

It is a classic result in modal logic, often referred to as Jónsson-Tarski duality, that the category of modal algebras is dually equivalent to the category of descriptive frames. The latter are Kripke frames equipped with a Stone topology such that the binary relation is continuous. This duality generalizes the celebrated Stone duality for boolean algebras. Our goal is to generalize descriptive frames so that the topology is an arbitrary compact Hausdorff topology. For this, instead of working with the boolean (...) algebra of clopen subsets of a Stone space, we work with the ring of continuous real-valued functions on a compact Hausdorff space. The main novelty is to define a modal operator on such a ring utilizing a continuous relation on a compact Hausdorff space.Our starting point is the well-known Gelfand duality between the category ${\sf KHaus}$ of compact Hausdorff spaces and the category $\boldsymbol {\mathit {uba}\ell }$ of uniformly complete bounded archimedean $\ell $ -algebras. We endow a bounded archimedean $\ell $ -algebra with a modal operator, which results in the category $\boldsymbol {\mathit {mba}\ell }$ of modal bounded archimedean $\ell $ -algebras. Our main result establishes a dual adjunction between $\boldsymbol {\mathit {mba}\ell }$ and the category ${\sf KHF}$ of what we call compact Hausdorff frames; that is, Kripke frames equipped with a compact Hausdorff topology such that the binary relation is continuous. This dual adjunction restricts to a dual equivalence between ${\sf KHF}$ and the reflective subcategory $\boldsymbol {\mathit {muba}\ell }$ of $\boldsymbol {\mathit {mba}\ell }$ consisting of uniformly complete objects of $\boldsymbol {\mathit {mba}\ell }$. This generalizes both Gelfand duality and Jónsson-Tarski duality. (shrink)

Environmental degradation and extractive industry are inextricably linked, and the industry’s adverse impact on air, water, and ground resources has been exacerbated with increased demand for raw materials and their location in some of the more environmentally fragile areas of the world. Historically, companies have managed to control calls for regulation and improved, i.e., more expensive, mining technologies by (a) their importance in economic growth and job creation or (b) through adroit use of their economic power and bargaining leverage against (...) weak national governments, regional and international regulatory bodies. More recently, the industry has had to contend with another set of challenges that involved treatment of indigenous people and their traditional land rights, fair treatment of workers, human rights abuses, and bribery and corruption involving local officials and political leaders. These challenges currently fall outside the traditional areas of regulation and control. Nevertheless, they pose serious threat to the industry’s business practices because of their global scope, threat to company’s reputation, and long-term risks of political instability leading to increasing cost of capital. Industry has responded to these challenges by creating voluntary codes of conduct that would signify their intent to comply with higher standards of conduct, and assuage public opinion that no further action is called for. These codes, however, lack any monitoring mechanism and reporting integrity to assure the public that the industry members are indeed meeting their commitments. Consequently, pressure on the industry continues unabated and with ever increasing calls for mandatory regulation and oversight. This article examines the activities of one mining company, Freeport-McMoRan Copper & Gold, Inc., which has taken a radically different approach in responding to these challenges at its mining operations in West Papua, Indonesia. While cooperating with industry-based efforts of voluntary codes of conduct, Freeport also initiated a radically different response through its own voluntary code that would directly focus on issues of human rights, treatment of indigenous people on whose traditional land its mine was located; economic development and job creation and, improvements in health, education, and housing facilities, to name a few. Additionally, the company earmarked large sums of money and involved representatives of the indigenous people in their management and disbursement. The company took an even more radical action when it committed itself to independent external audits of the company’s compliance with the code, and that these findings and company’s responses would be made public without prior censorship by the company. We analyze the nature of corporate culture, vision and risk-taking propensities of its management that would impel the company to embark on a high risk strategy whose outcomes could not be predicted with any degree of certainty before the fact. The parent company also had to confront discontent among the management ranks at the mine site because of cultural differences and management styles of expatriates and local (Indonesian) managers. Finally, we discuss in some detail the extensive and intensive character of a two phase audit conducted by the outside monitors, their findings, and the process by which they were implemented and reported to general public. We also evaluate the strengths and challenges posed by such audits, their importance to the company’s future, and how such projects might be undertaken by other companies. (shrink)