The article is guided by two main research questions: First, do the Equator Principles (EPs), a voluntary CSR-initiative in the project finance sector, and the recently published working paper of the Thun Group of Banks adequately address the U.N. Guiding Principles on Business and Human Rights or do they fall behind the ‘Ruggie framework’? Second, is the demand for human rights due diligence sufficient to classify the EPs as a positive and leverage-based concept of CSR (à la Wettstein and (...) Wood) or is this requirement still a feature of a negative and impact-based concept of CSR? In case it is a negative and impact-based concept of CSR, the question comes up which further steps should be taken by financial institutions to fulfill their positive and leverage-based responsibilities. The article argues that positive and leverage-based responsibilities for multinational companies exist – due to the moral nature of human rights and due to the political authority of multinational companies – and that the current (Ruggie-like) requirements for human rights due diligence are not adequate for a positive and leverage-based concept of CSR. Further measures should be taken by multinational companies – and especially (Equator) banks which possess a high leverage-influence over their clients – to not only ensure the respect for human rights, but also the on-the-ground protection and realization of human rights. (shrink)

An algebraic block-diagonalization of the Dirac Hamiltonian in a time-independent external field reveals a charge-index conservation law which forbids the physical phenomena of the Klein paradox type and guarantees a single-particle nature of the Dirac equation in strong external fields. Simultaneously, the method defines simpler quantum-mechanical objects—paulions and antipaulions, whose 2-component wave functions determine the Dirac electron states through exact operator relations. Based on algebraic symmetry, the presented theory leads to a new understanding of the Dirac equation physics, (...) including new insight into the Dirac measurements and a consistent scheme of relativistic quantum mechanics of electron in the paulion representation. Along with analysis of the mathematical anatomy of the Klein paradox falsity, a complete set of paradox-free eigenfunctions for the Klein problem is obtained and investigated via stationary solutions of the Pauli-like equations with respective paulion Hamiltonians. It is shown that the physically correct Dirac states in the Klein zone are characterized by the total particle reflection from the potential step and satisfy the fundamental charge-index conservation law. (shrink)

세상에는 대부분 사람들이 믿는 통념이지만 실은 근거 없는 그런 견해도 있다. 우리나라 역사에 대해서도 근거 없이 믿고 있는 잘못된 신념들이 있다. 철학자인 나로서는 그런 신념을 만나면 먼저 개념(용법)분석을 시도한다. 분석 도구는 수학(연립방정식의 결정-과소결정(부정)-과잉결정(불능)), 자연과학(가설연역방법), 논리학(모순관계, 포함관계) 이다. 분석한 개념은 “주(炷: 심지)”와 “산(蒜: 달래)”, 단군의 “수(壽)”, 주몽의 아버지인 “해모수”와 “단군”의 용법, “해모수”의 세 가지 용법, “신기대보(神器大寶)” 등이다. 이 개념들을 분석해 보면 고대 한국 왕들이 장생불사(長生不死)의 철학을 믿었다는 것을 알 수 있다. 역사기록에 등장하는 용어를 그 당대 용법으로 이해하려면 엄격한 학문연구방법이 필요하다. 역사를 (...) 연구할 때 좀 더 치밀한 연구방법을 고민해야 한다. (shrink)

As familiar as the form of the mathematical equation is to us, the ostensibly simple act of equating unlike things was an achievement many centuries in the making, and one that would ultimately redefine European mathematical enquiry such that its bias toward geometry and the concrete would be displaced by a bias toward algebraic abstraction. The moment of that displacement was the nineteenth century, and its broader significance is on particularly striking display in the British context, where the implications (...) of algebraic abstraction were the object of sustained enquiry among mathematicians, logicians, and economists. This article argues that the ascendance of the algebraic equation, and the transformation in the conception of number on which it was premised, were not simply the product of evolutionary pressures internal to mathematics; the Victorian embrace of algebra was also a response to the practical and cognitive demands of Victorian economic life, which was increasingly reliant on attenuated exchange relations and merely nominal forms of ownership. This was an economy organized around the global extension of trade and characterized by the exponential growth of financial intermediation, of what Walter Bagehot called “number abstracted from reference.” Victorian economic practices thus modeled an abstraction that helped to justify the abstractions of mathematics, and that mathematics in turn was used by economic theorists to argue for the necessity and objectivity of their models. This mutually sustaining dialogue is particularly visible in the writings of William Stanley Jevons, who applied the principles of algebra to philosophy and economic theory so as to reconceive the logic of cognitive and social life in terms of equations. This logic, for which he was merely a spokesman, continues to shape our faith in the special value of abstract, theoretical knowledge. (shrink)

The issue of whether formal reasoning or a computing-intensive approach is the most efficient manner to address scientific questions is the subject of some considerable debate and pertains not only to the nature of the phenomena and processes investigated by scientists, but also the nature of the equation and algorithm objects they use. Although algorithms and equations both rely on a common background of mathematical language and logic, they nevertheless possess some critical differences. They do not refer to the (...) same level of symbolization, as equations are based on integrated concepts in a denotational manner, while algorithms specifically break down a complex problem into more elementary operations, in an operational manner. They may therefore be considered as suited to the representation of different phenomena. Specifically, algorithms are by nature sufficient to represent weak emergent phenomena, but not strong emergent patterns, while equations can do both. Finally, the choice between equations and algorithms are by nature sufficient to represent weak emergent phenomena, but not strong emergent patterns, while equations behave conversely. We propose a simplified classification of scientific issues for which both equation- and/or algorithm-based approaches can be envisaged, and discuss their respective pros and cons. We further discuss the complementary and sometimes conflicting uses of equations and algorithms in a context of ecological theory of metapopulation dynamics. We finally propose both conceptual and practical guidelines for choosing between the alternative approaches. (shrink)

This paper is a commentary on the focal article by Grafen and on earlier papers of his on which many of the results of this focal paper depend. Thus it is in effect a commentary on the “formal Darwinian project”, the focus of this sequence of papers. Several problems with this sequence are raised and discussed. The first of these concerns fitness maximization. It is often claimed in these papers that natural selection leads to a maximization of fitness and that (...) this view is claimed in Fisher’s “fundamental theorem of natural selection”. These claims are refuted, and various incorrect statements about the meaning and interpretation of the fundamental theorem of natural selection, in this sequence and in other papers by other authors, are discussed. Next, much of the work in this sequence rests on the first Price equation. In the deterministic (infinite population) case this equation is no more than the standard classical equation relating to changes in gene frequencies. In the stochastic case the equation gives the change in gene frequencies as the sum of two terms (the second of which vanishes in the deterministic case). These two terms are of essentially equal importance in the situation considered in the focal article, yet one of Grafen’s results ignores the second term in the stochastic analysis. This is associated with a wavering between deterministic and stochastic analyses and the use of the Price fitness concept and the classical fitness concept. These comments cast doubts on Grafen’s optimization theory. (shrink)

In this article, I first analyze and assess the epistemological and semantic status of canonical value-range equations in the formal language of Frege’s Grundgesetze der Arithmetik. I subsequently scrutinize the relation between (a) his informal, metalinguistic stipulation in Grundgesetze I, Section 3, and (b) its formal counterpart, which is Basic Law V. One point I argue for is that the stipulation in Section 3 was designed not only to fix the references of value-range names, but that it was probably also (...) intended to play a regulative role with an eye to Basic Law V. I further intend to shed new light on the status of Frege’s identification of the truth-values with their unit classes in Grundgesetze I, Section 10 and determine its place and importance in his overall logicist project. In a subsequent section, I first discuss the hypothetical extendability of the logical system of Grundgesetze. In what follows, I analyze the incompleteness of that system—were it not inconsistent and hence trivially complete—by focusing on the role of the definite description operator and the axiom governing it (= Basic Law VI) as well as on the role of the application operator. The latter is defined by means of the former. I further comment on the redundancy of an axiom that could be designed to supplement Basic Law VI by incorporating the second clause of Frege’s two-part elucidation of the description operator. I argue that although it seems likely that Basic Law VI could have been shown to be dispensable in Grundgesetze, Frege would probably have been reluctant to dispense with it, despite his commitment to axiomatic parsimony. In my view, the reason is that he considers it essential that every primitive function-name of his formal language be governed and grounded by a basic law that is tailored to the nature and the role of the primitive name occurring at a key point in the law. Toward the end of the article, I propose solutions to two problems with Frege’s use of “=” in the concept-script sentences that result from his definitions involving the replacement of the double stroke of definition with the judgment-stroke. I conclude the article with a summary of the main results that I have achieved. (shrink)

This is an English translation of Waldenfels' German essay: Equality and inequality are basic elements of law, justice and politics. Equality integrates each of us into a common sphere by distributing rights, duties and chances among us. Equality turns into mere indifference as far as we get overintegrated into social orders. When differences are fading away experience loses its relief and individuals lose their face. Our critical reflections start from the inevitable paradox of making equal what is not equal. In (...) various ways they refer to Nietzsche’s concept of order, to Marx’s analysis of money, to Lévinas’s ethics of the Other, and to novelists like Dostoevsky and Musil. Our critique turns against two extremes, on the one hand against any sort of normalism fixed on functioning orders, on the other hand against any sort of anomalism dreaming of mere events and permanent ruptures. Responsive phenomenology shows how we are confronted with extraordinary events. Those deviate from the ordinary and transgress its borders, without leaving the normality of our everyday world behind. The process of equalizing moves between the ordinary and the extraordinary. What makes the difference and resists mere indifference are creative responses which are to be invented again and again. (shrink)

I claim that the Hodgkin‐Huxley (HH) current equations owe a great deal of their importance to their role in bringing results from experiments on squid giant action preparations to bear on the study of the action potential in other neurons in other in vitro and in vivo environments. I consider ideas from Weber and Craver about the role of Coulomb’s and other fundamental equations in explaining the action potential and in HH’s development of their equations. Also, I offer an embellishment (...) to Schaffner’s emergent unifier conception of the HH model. †To contact the author, please write to: Department of HPS, University of Pittsburgh, 1017 Cathedral of Learning, Pittsburgh, PA 15260; e‐mail: [email protected]. (shrink)

It is well-known that, in Peano arithmetic, there exists a formula Theor (x) which numerates the set of theorems and that this formula satisfies Hilbert-Bernays derivability conditions. Recently R. Magari has suggested an algebraization of the properties of Theor, introducing the concept of diagonalizable algebra (see [7]): of course this algebraization can be applied to all these theories in which there exists a predicate with analogous properties. In this paper, by means of methods of universal algebra, we study the (...) equational class of diagonalizable algebras, proving, among other things, that the set of identities satisfied by Theor which are consequences of the known ones is decidable. (shrink)

It is shown in this article that the two sides of an equation in the medieval Arabic algebra are aggregations of the algebraic “numbers” (powers) with no operations present. Unlike an expression such as our 3x + 4, the Arabic polynomial “three things and four dirhams” is merely a collection of seven objects of two different types. Ideally, the two sides of an equation were polynomials so the Arabic algebraists preferred to work out all operations of the enunciation (...) to a problem before stating an equation. Some difficult problems which involve square roots and divisions cannot be handled nicely by this basic method, so we do find square roots of polynomials and expressions of the form “A divided by B” in some equations. But rather than initiate a reconsideration of the notion of equation, these developments were used only for particularly complex problems. Also, the algebraic notation practiced in the Maghreb in the later middle ages was developed with the “aggregations” interpretation in mind, so it had no noticeable impact on the concept of polynomial. Arabic algebraists continued to solve problems by working operations before setting up an equation to the end of the medieval period. (shrink)

This essay defends a novel interpretation of the term xìng 性 as it occurs in Chinese texts of the late Warring States period (roughly 320–221 BCE). The term played an important role both in the famous controversy over the goodness or badness of people’s xìng and elsewhere in the intellectual discourse of the period. Extending especially the work of A.C. Graham, the essay stresses the importance for understanding xìng of early Chinese assumptions about spontaneity, continuity, health, and (in the human (...) case) motivation. These assumptions make xìng fundamentally different from the contemporary nature concepts with which it is often equated. In particular, people’s xìng is not a near-equivalent of human nature or (in modern Chinese) of rénxìng 人性. (shrink)

In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.

Maxwell's equations are formulated as a relativistic “Schrödinger-like equation” for a single photon of a given helicity. The probability density of the photon satisfies an equation of continuity. The energy eigenvalue problem gives both positive and negative energies. The Feynman concept of antiparticles is applied here to show that the negative-energy states going backward in time (t → −t) give antiphoton states, which are photon states with the opposite helicity. For a given mode, properties of a photon, (...) such as energy, linear momentum, total angular momentum, orbital angular momentum, and spin are equivalent in both classical electromagnetic field theory and quantum theory. The single-photon Schrödinger equation is field (or “second”) quantized in a gauge-invariant way to obtain the quantum field theory of many photons. This approach treats the quantization of electromagnetic radiation in a way that parallels the quantization of material particles and, thus, provides a unified treatment. (shrink)

Abstract:Western business philosophy is rooted in the concepts of free enterprise, free markets, free choice. Yet freedom has its limits. Nature itself imposes constraints. In the state of nature each business must try to accomplish everything autonomously and ward off the attacks of rivals. These activities cost the business a great deal of freedom. The social contract emerges from such anarchy to increase the freedom available to all members of society. It does so by setting limits on individual freedom which (...) actually increase the overall amount of freedom available within the system. The Social Equation presents a relational model of this contract to show how overall freedom is increased in a state of society. In so doing, the obligations which society places on businesses to produce beneficial goods and services is developed. Next, the complex relationship between socially enforced constraints and social moral constraints is examined, showing that social moral constraints increase freedom more than do enforced constraints. This work concludes with proposed uses of the Social Equation as a heuristic for business ethics. (shrink)

Abstract:Western business philosophy is rooted in the concepts of free enterprise, free markets, free choice. Yet freedom has its limits. Nature itself imposes constraints. In the state of nature each business must try to accomplish everything autonomously and ward off the attacks of rivals. These activities cost the business a great deal of freedom. The social contract emerges from such anarchy to increase the freedom available to all members of society. It does so by setting limits on individual freedom which (...) actually increase the overall amount of freedom available within the system. The Social Equation presents a relational model of this contract to show how overall freedom is increased in a state of society. In so doing, the obligations which society places on businesses to produce beneficial goods and services is developed. Next, the complex relationship between socially enforced constraints and social moral constraints is examined, showing that social moral constraints increase freedom more than do enforced constraints. This work concludes with proposed uses of the Social Equation as a heuristic for business ethics. (shrink)

There is no topic that attracts more attention, more energy and time and devotion, than love. As long as there's been recorded history, love has taken center seat as the inspiration for countless paintings, instigator of wars, muse of untold poets and musicians. And just as poetry, art and music have the ability to communicate something about love that is difficult to articulate with words, the same is true of mathematics. Of course, mathematics can't easily help us translate the emotional (...) side of love, emotions rarely behave in a neatly ordered, rational and easily predictable way. It is difficult to quantify the rollercoaster of romance or to define how lovers might feel via a set of simple equations. But that doesn't mean that mathematics isn't crucial to understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns, from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In [this book, the author] takes the listener on a fascinating journey through the patterns that define our love lives, tackling some of the most common yet complex questions pertaining to love: What's the chance of us finding love? What's the chance that it will last? How does online dating work, exactly? When should you settle down? How can you avoid divorce? When is it right to compromise? Can game theory help us decide whether or not to call? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves, with great insight, wit and fun, that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, patterns of love. (shrink)

The analysis of a previous paper (see Ref. 1), in which the possibility of a Finslerian generalization of the equations of motion of gravitational field sources was demonstrated, is extended by developing the Finslerian generalization of the gravitational field equations on the basis of the complete contractionK = K lj lj of the Finslerian curvature tensorK l j hk (x, y). The relevant Lagrangian is constructed by the replacement of the directional variabley i inK by a vector fieldy i (x), (...) so that the notion of osculation may be regarded as the key concept on which the approach is based. The introduction of the auxiliary vector fieldy i (x) is shown to be of physical significance, for the field equations refer not only to the proper field variables but also to a special coordinate system associated withy i (x) through the Clebsch representation of the latter. The status of the conservation laws proves to be similar to that in the theory of the Yang-Mills field. By choosing a special Finslerian metric function we elucidate in detail the structure of the field equations in the static case. (shrink)

Multivariate behavioral research often focuses on latent constructs—such as motivation, self-concept, or wellbeing—that cannot be directly observed. Typically, these latent constructs are measured with items in standardized instruments. To test the factorial structure and multidimensionality of latent constructs in educational and psychological research, Morin et al. proposed bifactor exploratory structural equation modeling. This meta-analytic review aimed to estimate the extent to which B-ESEM model fit differs from other model representations, including confirmatory factor analysis, exploratory structural equation modeling, (...) hierarchical CFA, hierarchical ESEM, and bifactor-CFA. The study domains included learning and instruction, motivation and emotion, self and identity, depression and wellbeing, and interpersonal relations. The meta-analyzed fit indices were the χ2/df ratio, the comparative fit index, the Tucker-Lewis index, the root mean square error of approximation, and the standardized root mean squared residual. The findings of this meta-analytic review indicate that the B-ESEM model fit is superior to the fit of reference models. Furthermore, the results suggest that model fit is sensitive to sample size, item number, and the number of specific and general factors in a model. (shrink)

Diagrams have played an important role throughout the entire history of differential equations. Geometrical intuition, visual thinking, experimentation on diagrams, conceptions of algorithms and instruments to construct these diagrams, heuristic proofs based on diagrams, have interacted with the development of analytical abstract theories. We aim to analyze these interactions during the two centuries the classical theory of differential equations was developed. They are intimately connected to the difficulties faced in defining what the solution of a differential equation is and (...) in describing the global behavior of such a solution. (shrink)

A Lacanian Conception of Populism takes issue with traditional theories of populism, which seek to equate populism with hegemony, arguing that these are not only different but even incompatible logics. Timothy Appleton contends that one of the main differences between populism and hegemony has to do with the social totality: whilst hegemony absolutises it, populism eviscerates it, setting in its place an - apparently paradoxical - dispersion of singular instances of 'the people'. The book considers the work of Laclau, Badiou, (...) Žižek and Rancière, before arriving at a novel conceptualisation that Appleton dubs 'the populism of singularities'. In the second half of the book, the author draws out the consequences of this concept for contemporary political theory: the question of how to define 'left' and 'right'; the question of popular enthusiasm and affect; 'truth' versus 'post-truth'; the question of leadership; populism and nationalism; and the relation between populism and political parties. A Lacanian Conception of Populism will be key reading for academics and scholars of political theory, political philosophy, post-Marxist thought, Discourse theory and psychoanalysis. It will also be of interest to those working in the areas of populism studies, cultural studies, gender studies and queer theory. (shrink)

Suicide has been condemned in our culture in one way or another since Augustine offered theological arguments against it in the sixth century. More recently, theological condemnation has given way to the view that suicidal behavior must always be symptomatic of emotional disturbance and mental illness. However, suicide has not always been viewed so negatively. In other times and cultures, it has been held that circumstances might befall a person in which suicide would be a perfectly rational course of action, (...) in the same sense that any other course of action could be rational: that it could be sensible, i.e., defensible by good reasons, or that it could be in keeping with the agent's fundamental interests. Indiscriminate use of modern life-sustaining technologies has renewed interest in the possibility of rational suicide. Today proponents of rational suicide tend to equate the rationality of suicide with the competence of the decision to commit suicide. (shrink)

The concept of hegemonic masculinity has influenced gender studies across many academic fields but has also attracted serious criticism. The authors trace the origin of the concept in a convergence of ideas in the early 1980s and map the ways it was applied when research on men and masculinities expanded. Evaluating the principal criticisms, the authors defend the underlying concept of masculinity, which in most research use is neither reified nor essentialist. However, the criticism of trait models (...) of gender and rigid typologies is sound. The treatment of the subject in research on hegemonic masculinity can be improved with the aid of recent psychological models, although limits to discursive flexibility must be recognized. The concept of hegemonic masculinity does not equate to a model of social reproduction; we need to recognize social struggles in which subordinated masculinities influence dominant forms. Finally, the authors review what has been confirmed from early formulations and what needs to be discarded. The authors suggest reformulation of the concept in four areas: a more complex model of gender hierarchy, emphasizing the agency of women; explicit recognition of the geography of masculinities, emphasizing the interplay among local, regional, and global levels; a more specific treatment of embodiment in contexts of privilege and power; and a stronger emphasis on the dynamics of hegemonic masculinity, recognizing internal contradictions and the possibilities of movement toward gender democracy. (shrink)

Linguistic and non-linguistic pattern learning have been studied separately, but we argue for a comparative approach. Analogous inductive problems arise in phonological and visual pattern learning. Evidence from three experiments shows that human learners can solve them in analogous ways, and that human performance in both cases can be captured by the same models. We test GMECCS, an implementation of the Configural Cue Model in a Maximum Entropy phonotactic-learning framework with a single free parameter, against the alternative hypothesis that learners (...) seek featurally simple algebraic rules. We study the full typology of patterns introduced by Shepard, Hovland, and Jenkins (), instantiated as both phonotactic patterns and visual analogs, using unsupervised training. Unlike SHJ, Experiments 1 and 2 found that both phonotactic and visual patterns that depended on fewer features could be more difficult than those that depended on more features, as predicted by GMECCS but not by rule-seeking. GMECCS also correctly predicted performance differences between stimulus subclasses within each pattern. A third experiment tried supervised training to elicit simple rule-seeking phonotactic learning, but cue-based behavior persisted. We conclude that similar cue-based cognitive processes are available for phonological and visual concept learning, and hence that studying either kind of learning can lead to significant insights about the other. (shrink)

Concepts of stability and symmetry in irreversible thermodynamics are developed through the analysis of system energy flows. The excess power function, derived from a local energy conservation equation, is shown to yield necessary and sufficient stability criteria for linear and nonlinear irreversible processes. In the absence of symmetry-destroying external forces, the linear range may be characterized by a set of phenomenological coefficient symmetries relating coupled forces and displacements, velocities, and accelerations, whereas rotational phenomena in nonlinear processes may be characterized (...) by skew-symmetric components of the phenomenological coefficients. A physical interpretation of the nature of the skew-symmetric parts is given and the variational principle of minimum dissipation of energy is related to a stability criterion. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Concept of Will in EarlyLatin Philosophy NEAL W. GILBERT AN HISTORICALDISCUSSIONOf the concept of will is best begun with an analysis of the use of voluntas in Latin philosophy, from its earliest occurrences in Lucretius and Cicero on down to Augustine and medieval times. This development can be traced without much controversy because the line of transmission and development is more or less unbroken. But the (...) correlating of Latin psychological terms with their Greek originals presents problems. Greek philosophy was indeed the source from which Latin philosophical psychology developed: Lucretius reflects Epicurean doctrine, while Cicero and Seneca were strongly influenced by Stoic philosophy when they discussed moral action. However, many modern scholars are convinced that the Greeks had no word that corresponds to our "will" at all, and so we seem to be left with no choice but to regard the will as an original creation of Latin philosophy. But this would be to overlook the fact that ancient Latin writers sometimes specifically equated voluntas with certain Greek terms, and such evidence ought not to go unexamined. Voluntas was well established in Latin usage before Roman writers began to concern themselves with philosophical problems, but it did not have a technical sense. It meant simply "good will," or "favor," or concretely, a "will, or testament. ''I Clustered around it were other derivatives of "volo," such as "benevolentia" and "malevolentia," "well-wishing" and "ill-wishing." When Roman writers began to deal with philosophical problems, there were a number of different contexts in which voluntas could play a leading role. Chief among them, naturally, was the "freedom of the will" which, then as now, intrigued the ordinary man or the moralist. However, discussions revolving around the determinist-libertarian issue often fail to clarify the concept of the will itself. Major philosophers (Chrysippus, Augustine, or Hume, for example) offer fine distinctions within moral action when considering the determinist-libertarian dispute, but lesser figures are apt to "C'est seulement lots de la creation du vocabulairephilosophiqueque voluntas a pris le sens abstrait et technique de 'volont6'." Ernout, A., and A. Meillet,Dictionnaire Etymologique de la langue latine, 4th ed. (Paris, 1959),sub "volo." [17] 18 HISTORY OF PHILOSOPHY neglect the detailed analysis of moral action in favor of sweeping metaphysical pronouncements. When a Latin writer wished to say that a person did something of his own accord, the locution most natural to him was "sua sponte," an ablative absolute derived from the same root as our word "spontaneous." The nominative case of "sponte" ("spons") was almost never used, so that dictionaries are perhaps somewhat misleading in suggesting that the word "spons" means "free will": it would be more correct to say that the phrase "sua sponte" means "of his own free will." Latin writers also indicate that someone did something willingly by saying that he did it "non invitus" ("not unwillingly "). Finally, they could apply the adjective "voluntarius" to such an action, or say that it was done "ex voluntate." When the latter term begins to be used as a designation for a separate faculty of the soul distinct from reason or intelligence, it begins to resemble the modern concept of will. Augustine is usually given credit for introducing the concept of will into philosophy, but even the earliest Latin treatment of the free-will problem framed the issue in terms of voluntas. Nevertheless, I think that the received view is substantially correct, although it would be more proper to say that what Augustine introduced into philosophy was not the concept of will in general but the concept of the evil will. What Augustine called the "good" will ("bona voluntas") was closely related to the "reasonable desire" of the Stoic sage, rendered into Latin by Cicero as voluntas, without any adjective. The addition of the evil will altered the outlines of moral analysis considerably, involving among other things the major shift from a Socratic or Platonic psychology and ethics (usually labeled "intellectualistic") to a Christian psychology and ethics (usually labeled "voluntaristic"). Such a characterization is likely to be drawn too sharply, and to overlook anticipations of voluntarism in Greek thought or reminiscences of Greek intellectualism in Christian thought. Hence it may be useful... (shrink)

In this essay I offer a partial rehabilitation of Cohen’s Kant interpretation. In particular, I will focus on the center of Cohen’s interpretation in KTE, reflected in the title itself: his interpretation of Kant’s concept of experience. “Kant hat einen neuen Begriff der Erfahrung entdeckt,”7 Cohen writes at the opening of the first edition of KTE (henceforth, KTE1), and while the exact nature of that new concept of experience is hard to pin down in the 1871 edition, he (...) states it succinctly in the second edition (henceforth KTE2): experience is Newtonian mathematical natural science.8 While this equation of experience with mathematical natural science has few contemporary defenders, I believe it is substantially correct, with one important qualification. Kant uses the term Erfahrung in a number of different senses in the Kritik der reinen Vernunft (henceforth, KrV). I will argue that a central, and neglected, sense of that key technical term aligns with Cohen’s reading; what Kant sometimes refers to as ‘universal experience’ (sometimes, simply ‘experience’) is, in broad outlines, correctly interpreted by Cohen as mathematical natural science. (shrink)

This article argues that, next to a certain intellectual tradition of Roman liberty, often labelled ‘neo-Roman’ or ‘Republican’, we should also take into account the existence of, at least, two other conceptions of liberty, which have so far remained occluded under the prominence of Cicero’s ideas and the appropriation of them by later thinkers. By analysing the debate in opposition and in favour of sumptuary laws enacted from the 3rd century bc onwards, the article identifies a first notion of liberty (...) which coincided with the absence of any external legal constraints upon the citizens’ private life and was, thereby, incompatible with the rule of law in this sphere. The second intellectual family of concepts equated libertas to the absence of constraints from one’s own passions as well as the possession of the capacity to pursue something worth pursuing for the well-being of the community. According to this view, liberty also resided in the supremacy of the rule of law. The third notion of libertas, elaborated by Cicero in the De re publica and De legibus, identified liberty with the absence of arbitrary domination to achieve one’s own ends and resided in the supremacy of the rule of law. Its preservation depended on the constitutional arrangements of the commonwealth and the related civic status of the individual. (shrink)

We study operator equations within the Turing machine based framework for computability in analysis. Is there an algorithm that maps pairs to solutions of Tx = u ? Here we consider the case when T is a bounded linear mapping between Hilbert spaces. We are in particular interested in computing the generalized inverse T†u, which is the standard concept of solution in the theory of inverse problems. Typically, T† is discontinuous and hence no computable mapping. However, we will use (...) effective versions of theorems from the theory of regularization to show that the mapping ↦ T†u is computable. We then go on to study the computability of average-case solutions with respect to Gaussian measures which have been considered in information based complexity. Here, T† is considered as an element of an L2-space. We define suitable representations for such spaces and use the results from the first part of the paper to show that ↦ T† is computable. (shrink)

In both social science and medicine, research on reproduction generally focuses on women. In this article, we examine how men’s reproductive contributions are understood. We develop an analytic framework that brings together Cynthia Daniels’ conceptualization of reproductive masculinity with a staged view of reproduction, where the stages include the period before conception, conception, gestation, and birth. Drawing on data from two medical sites that are oriented to the period before pregnancy, we examine how gendered knowledge about reproduction produces different reproductive (...) equations in different stages of the reproductive process. We conclude with a new research agenda that emerges from rethinking the role of men and masculinity in reproduction. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Concept of Will in EarlyLatin Philosophy NEAL W. GILBERT AN HISTORICALDISCUSSIONOf the concept of will is best begun with an analysis of the use of voluntas in Latin philosophy, from its earliest occurrences in Lucretius and Cicero on down to Augustine and medieval times. This development can be traced without much controversy because the line of transmission and development is more or less unbroken. But the (...) correlating of Latin psychological terms with their Greek originals presents problems. Greek philosophy was indeed the source from which Latin philosophical psychology developed: Lucretius reflects Epicurean doctrine, while Cicero and Seneca were strongly influenced by Stoic philosophy when they discussed moral action. However, many modern scholars are convinced that the Greeks had no word that corresponds to our "will" at all, and so we seem to be left with no choice but to regard the will as an original creation of Latin philosophy. But this would be to overlook the fact that ancient Latin writers sometimes specifically equated voluntas with certain Greek terms, and such evidence ought not to go unexamined. Voluntas was well established in Latin usage before Roman writers began to concern themselves with philosophical problems, but it did not have a technical sense. It meant simply "good will," or "favor," or concretely, a "will, or testament. ''I Clustered around it were other derivatives of "volo," such as "benevolentia" and "malevolentia," "well-wishing" and "ill-wishing." When Roman writers began to deal with philosophical problems, there were a number of different contexts in which voluntas could play a leading role. Chief among them, naturally, was the "freedom of the will" which, then as now, intrigued the ordinary man or the moralist. However, discussions revolving around the determinist-libertarian issue often fail to clarify the concept of the will itself. Major philosophers (Chrysippus, Augustine, or Hume, for example) offer fine distinctions within moral action when considering the determinist-libertarian dispute, but lesser figures are apt to "C'est seulement lots de la creation du vocabulairephilosophiqueque voluntas a pris le sens abstrait et technique de 'volont6'." Ernout, A., and A. Meillet,Dictionnaire Etymologique de la langue latine, 4th ed. (Paris, 1959),sub "volo." [17] 18 HISTORY OF PHILOSOPHY neglect the detailed analysis of moral action in favor of sweeping metaphysical pronouncements. When a Latin writer wished to say that a person did something of his own accord, the locution most natural to him was "sua sponte," an ablative absolute derived from the same root as our word "spontaneous." The nominative case of "sponte" ("spons") was almost never used, so that dictionaries are perhaps somewhat misleading in suggesting that the word "spons" means "free will": it would be more correct to say that the phrase "sua sponte" means "of his own free will." Latin writers also indicate that someone did something willingly by saying that he did it "non invitus" ("not unwillingly "). Finally, they could apply the adjective "voluntarius" to such an action, or say that it was done "ex voluntate." When the latter term begins to be used as a designation for a separate faculty of the soul distinct from reason or intelligence, it begins to resemble the modern concept of will. Augustine is usually given credit for introducing the concept of will into philosophy, but even the earliest Latin treatment of the free-will problem framed the issue in terms of voluntas. Nevertheless, I think that the received view is substantially correct, although it would be more proper to say that what Augustine introduced into philosophy was not the concept of will in general but the concept of the evil will. What Augustine called the "good" will ("bona voluntas") was closely related to the "reasonable desire" of the Stoic sage, rendered into Latin by Cicero as voluntas, without any adjective. The addition of the evil will altered the outlines of moral analysis considerably, involving among other things the major shift from a Socratic or Platonic psychology and ethics (usually labeled "intellectualistic") to a Christian psychology and ethics (usually labeled "voluntaristic"). Such a characterization is likely to be drawn too sharply, and to overlook anticipations of voluntarism in Greek thought or reminiscences of Greek intellectualism in Christian thought. Hence it may be useful... (shrink)

In his paper titled ‘Against “measurement” ’ [Physics World 3(8), 33–40 [1990]], Bell criticised arguments that use the concept of measurement to justify the statistical interpretation of quantum theory. Among these was the text of Gottfried [Quantum Mechanics (Benjamin, New York, [1966])]. Gottfried has replied to this criticism, claiming to show that, for systems with both continuous and discrete degrees of freedom, the statistical interpretation for the discrete variables is implied by requiring that the continuous variables are described classically. (...) In the present paper, Gottfried’s argument is criticised. It is suggested that he takes over aspects of classical physics which are in conflict with the classical limit of the Schrödinger equation. He incorrectly assumes that, in the output from a Stern-Gerlach apparatus, the wave-function of any ion is restricted to one or another of the beams. (shrink)

In this paper we shall consider the circumstances under which the concept of ‘field’ was introduced into electrical theory, the traditional use of the notion of field with particular reference to electrical theory, and sketch three characters of a field in this context. These are its pervasiveness, its independent existence, and its status as an elastic body. In each case we will briefly bring to bear more modern comment on these three facets of the traditional conception, attempting to salvage (...) the meaning for the term field that is currently accepted. Following this, ‘field intensity’ will be compared with other terms such as ‘displacement current’ and the fictional character of terms and the conventional character of the equations in which ‘field intensity’ appears will be discussed. The paper closes with a summary of the points made. (shrink)

G. A. Cohen argues that John Rawls’s focus on the basic structure of society as the exclusive subject of social justice is misguided. I argue that two understandings of the notion of basic structure seem to be present in the literature, either in implicit or in explicit terms. According to the first, the basic structure is to be equated with a given set of institutions: if they endorse the right principles of justice, the basic structure of society is just; According (...) to the second, a society has a just basic structure if and only if its institutional web manages to realize the relevant principles of justice as well it can. In, the institutional structure is not a given: different social circumstances call for different institutional solutions in order to achieve a just basic structure overall. The first part of the paper make a case for, and explores some of its normative implications. The second part asks which consequences this understanding may have for the idea of a global basic structure. (shrink)

Our understanding of nature, and in particular of physics and the laws governing it, has changed radically since the days of the ancient Greek natural philosophers. This book explains how and why these changes occurred, through landmark experiments as well as theories that - for their time - were revolutionary. The presentation covers Mechanics, Optics, Electromagnetism, Thermodynamics, Relativity Theory, Atomic Physics and Quantum Physics. The book places emphasis on ideas and on a qualitative presentation, rather than on mathematics and equations. (...) Thus, although primarily addressed to those who are studying or have studied science, it can also be read by non-specialists. The author concludes with a discussion of the evolution and organization of universities, from ancient times until today, and of the organization and dissemination of knowledge through scientific publications and conferences. (shrink)

Academic achievement is a factor of interest in both psychology and education. Determining which factors have a negative or positive influence on academic performance has produced different investigations. The present study focuses on analyzing the relationship between resilience, emotional intelligence, self-concept and the academic achievement of university students. For this purpose, different self-report tools were administered to a sample of 1,020 university students from Southern Spain. The Structural Equation-based mediational analysis suggests that there is no direct relationship between (...) resilience and academic achievement, nor between emotional intelligence and academic achievement. Likewise, self-concept is positioned as a mediating factor in the relationship between resilience and academic achievement. The findings indicate that university students who exhibit high levels of resilience tend to cope better with difficult moments and understand and value the effort required and invested in study time. This study supports positive beliefs and behaviors for better academic achievement. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:In his influential study, The Harvest of Medieval Theology, Heiko Oberman had drawn two broad categories by which to classify the late medieval conception of Holy Scripture and the Catholic Tradition. The first, Tradition I, held Scripture to be the sole source of Catholic doctrine such that Tradition was equated with the exegetical contribution of the holy doctors. What Oberman deemed Tradition II maintained that Holy Scripture is not (...) sufficient for the determination of Catholic doctrine such that it needed to be supplemented by a separate extra-scriptural source of revelation. And it is within Tradition II that Oberman placed William of Ockham. That is to say Ockham was deemed a proponent of a so-called ‘two-sources’ principle of divine revelation. In fact, Oberman went on to say that, “we may conclude that Occam is not just playing with the two-sources theory but that he indeed believes in the solidity of the argument in its totality.”1 Influential as Oberman’s theory has been over the past forty years, however, the strict categorization of ‘one source’ over and against ‘two-sources’ may indeed be detrimental to an assessment of Ockham’s views on the authoritative determination of Catholic doctrine.This essay will focus primarily on Ockham’s conception of biblical authority relative to that of extra-scriptural sources, most notably papal authority. We will also look at two other fourteenth-century Franciscans, his predecessor John Duns Scotus and his successor William Woodford. This will provide us with an opportunity to assess the ways in which different Franciscan theologians handled the nuances of doctrinal authority in light of the specific concerns they faced. In the case of Scotus such questions were less polemically charged than they were for Ockham and Woodford. They usually came up within the confines of his Ordinatio and pertained to doctrines that Scotus willingly embraced even as he tried to make sense of their formulation. Ockham and Woodford, on the other hand, faced flesh and blood opponents in fierce debates: Ockham against the papacy and Woodford against the English Wycliffites. In an era when the precise relationship between authoritative sources was not very well defined, we will see these latter two Franciscans take different tacks as they addressed the exigencies of the moment, thereby highlighting the flexibility of Franciscan views of scriptural and extra-scriptural authority in the fourteenth century.First, though, we can offer some perspective on Oberman’s one source/two sources dichotomy. Oberman was one among many scholars—Protestant and Catholic—charting a grand history of Scripture and Tradition in the run-up to the Second Vatican Council. Much scholarly interest was specifically focused on what the Council of Trent had meant in its formal statement of April 8, 1546 when referring to “the truth and discipline [of the Gospel] contained in the written books and in the unwritten traditions.”2 In an effort to draw out the full intention of this statement scholars turned to an earlier draft to see if it could further illuminate what the Tridentine fathers meant. The earlier draft spoke of the truth and discipline of the Gospel being contained partly in the written books and partly in the unwritten traditions. In light of this fact scholars asked whether the final edition’s use of ‘and’ meant that all Catholic doctrine comes down fully in Scripture and fully in the traditions of the Church, such that either form of transmission sufficiently communicates this doctrine; or does the ‘and’ carry the weight of the earlier ‘partly’ such that Scripture contains only a portion of the truth and thus must be supplemented by unwritten traditions?Did the change from ‘partly … partly’ to ‘and’ signify a change in meaning? Not according to Oberman who was sure that the Council intended to affirm that Scripture does not contain all doctrinal truths.3 Whereas George Tavard concluded just the.. (shrink)

This article is concerned with Jeanette Winterson's use and reworking of post-modern concepts of the body in her novel Written on the Body. Feminist appropriations of those concepts can be problematic: they tend to focus on the way in which a coherent body image is constructed and then imposed on the body parts, whereas many feminist theorists continue to emphasize the wholeness and integrity of the female body. Written on the Body offers constructive ways of theorizing the female body within (...) a postmodern framework, because it is shaped by concepts of wholeness and fragmentation at the same time. Winterson develops a critique of androcentric science and medicine that strives to know the female body by dissecting it, analogous to the way modern society compartmentalizes human lives into neat manageable units. Against this, a concept of wholeness is strategically employed. Likewise, Winterson criticizes the equation of the female body with a penetrable surface. The androcentric concept of sexuality that associates penetration with the exploration of hidden depths and the achievement of power and knowledge is unmasked as necrophiliac. However, by constructing a lover/narrator whose gender remains undeclared, Winterson manages to unsettle perceptions of gendered difference. The text produces different meanings depending on whether the narrator is read as a man or a woman, and sexuality requires a basic human sameness from which a host of differences emerge that may or may not be gendered. In Written on the Body, Winterson disturbs fixed boundaries and rigidly gendered identities that objectify the body in order to build up a concept of the body that is fluid and leaves room for changes and mergings with other bodies, where bodies are held together not by a stable body image and a gendered identity, but by forces of connection and interaction between parts of the body. (shrink)

The formal time symmetry of the quantum measurement process is extensively discussed. Then, the origin of the alleged association between a fixed temporal direction and quantum measurements is investigated. It is shown that some features of such an association might arise from epistemological rather than purely physical assumptions. In particular, it is brought out that a sequence of statements bearing on quantum measurements may display intrinsic asymmetric properties, irrespective of the location of corresponding measurements in time t of the Schrodinger (...) equation. The situation of an observer performing two measurements in two opposite directions of t is eventually investigated. Essential differences are found between two descriptions of this situation: the internal one (taking only into account what is recorded in the observer's memory) and the external one (whereby the observer is considered as a quantum system ruled by the Schrodinger equation). Finally, a method allowing several observers to establish a correspondence between their memory sizes is analyzed. The most important facts that usually lead to the associating of a preferential temporal direction with quantum measurements may be inferred from this correspondence. (shrink)

G. A. Cohen argues that John Rawls’s focus on the basic structure of society as the exclusive subject of social justice is misguided. I argue that two understandings of the notion of basic structure seem to be present in the literature, either in implicit or in explicit terms. According to the first, the basic structure is to be equated with a given set of institutions: if they endorse the right principles of justice, the basic structure of society is just; According (...) to the second, a society has a just basic structure if and only if its institutional web manages to realize the relevant principles of justice as well it can. In, the institutional structure is not a given: different social circumstances call for different institutional solutions in order to achieve a just basic structure overall. The first part of the paper make a case for, and explores some of its normative implications. The second part asks which consequences this understanding may have for the idea of a global basic structure. (shrink)

G. A. Cohen argues that John Rawls’s focus on the basic structure of society as the exclusive subject of social justice is misguided. I argue that two understandings of the notion of basic structure seem to be present in the literature, either in implicit or in explicit terms. According to the first, the basic structure is to be equated with a given set of institutions: if they endorse the right principles of justice, the basic structure of society is just; According (...) to the second, a society has a just basic structure if and only if its institutional web manages to realize the relevant principles of justice as well it can. In, the institutional structure is not a given: different social circumstances call for different institutional solutions in order to achieve a just basic structure overall. The first part of the paper make a case for, and explores some of its normative implications. The second part asks which consequences this understanding may have for the idea of a global basic structure. (shrink)

It is argued that some elusive “entropic” characteristics of chemical bonds, e.g., bond multiplicities (orders), which connect the bonded atoms in molecules, can be probed using quantities and techniques of Information Theory (IT). This complementary perspective increases our insight and understanding of the molecular electronic structure. The specific IT tools for detecting effects of chemical bonds and predicting their entropic multiplicities in molecules are summarized. Alternative information densities, including measures of the local entropy deficiency or its displacement relative to the (...) system atomic promolecule, and the nonadditive Fisher information in the atomic orbital resolution(called contragradience) are used to diagnose the bonding patterns in illustrative diatomic and polyatomic molecules. The elements of the orbital communication theory of the chemical bond are briefly summarized and illustrated for the simplest case of the two-orbital model. The information-cascade perspective also suggests a novel, indirect mechanism of the orbital interactions in molecular systems, through “bridges” (orbital intermediates), in addition to the familiar direct chemical bonds realized through “space”, as a result of the orbital constructive interference in the subspace of the occupied molecular orbitals. Some implications of these two sources of chemical bonds in propellanes, π-electron systems and polymers are examined. The current–density concept associated with the wave-function phase is introduced and the relevant phase-continuity equation is discussed. For the first time, the quantum generalizations of the classical measures of the information content, functionals of the probability distribution alone, are introduced to distinguish systems with the same electron density, but differing in their current(phase) composition. The corresponding information/entropy sources are identified in the associated continuity equations. (shrink)

The aim of this interdisciplinary study is to reconstruct the evolution of our changing conceptions of time in the light of scientific discoveries. It will adopt a new perspective and organize the material around three central themes, which run through our history of time reckoning: cosmology and regularity; stasis and flux; symmetry and asymmetry. It is the physical criteria that humans choose – relativistic effects and time-symmetric equations or dynamic-kinematic effects and asymmetric conditions – that establish our views on the (...) nature of time. This book will defend a dynamic rather than a static view of time. (shrink)

This paper investigates relative constructions as in The gifted mathematician that you claim to be should be able to solve this equation, in which the head noun is semantically dependent on an intensional operator in the relative clause, even though it is not c-commanded by it. This is the kind of situation that has led, within models of linguistic description that assume a syntactic level of Logical Form, to analyses in which the head noun is interpreted within the CP-internal (...) gap by reconstruction or interpretation of a lower element of a chain. We offer a solution that views surface representation as the input to semantics. The apparent inverted scope effects are traced back to the interpretation of the head nominal gifted mathematician as applying to individual concepts, and of the relative clause that you claim to be as including an equational statement. According to this view, the complex DP in question refers to the individual concept that exists just in the worlds that are compatible with what is generally supposed to be the case, is a gifted mathematician in those worlds, and is identical to you in those worlds. Our solution is related to the non-reconstructionist analysis of binding of pronouns that do not stand in a c-command relationship to their binder, as in The woman that every man hugged was his mother in Jacobson Proceedings of Semantics and Linguistic Theory IV:161-178, 1994) and Sharvit Proceedings of Semantics and Linguistic Theory VI:227-244, 1996), and allows us to capture both similarities with and differences from the latter type of construction. We point out and offer explanations for a number of properties of such relative clauses—in particular their need for an internal intensional operator, their incompatibility with any determiner other than the definite article, and the fact that some of their properties are shared by demonstrably distinct kinds of relative clauses. (shrink)

We define a new class of Kripke structures for the second-order λ-calculus, and investigate the soundness and completeness of some proof systems for proving inequalities as well as equations. The Kripke structures under consideration are equipped with preorders that correspond to an abstract form of reduction, and they are not necessarily extensional. A novelty of our approach is that we define these structures directly as functors A: → Preor equipped with certain natural transformations corresponding to application and abstraction . We (...) make use of an explicit construction of the exponential of functors in the Cartesian-closed category Preor, and we also define a kind of exponential ΠΦs ε T to take care of type abstraction. However, we strive for simplicity, and we only use very elementary categorical concepts. Consequently, we believe that the models described in this paper are more palatable than abstract categorical models which require much more sophisticated machinery . We obtain soundness and completeness theorems that generalize some results of Mitchell and Moggi to the second-order λ-calculus, and to sets of inequalities. (shrink)

Il est connu que le séjour à Paris a joué un rôle déterminant dans l’élaboration des pensées leibniziennes. Pendant cette période, Leibniz rencontre de nombreux savants, s’initie aux mathématiques et s’avère être particulièrement prolifique. Il semblerait que ce soit à cette période également que commencent à se développer les concepts centraux de sa philosophie. Les textes De la méthode de l’universalité I et II en sont un formidable exemple. Ils nous offrent un jeune projet leibnizien, surprenant, ingénieux et très ambitieux. (...) On y voit Leibniz proposer un nouveau système de notation, permettant de traiter la généralité, qu’il fait dialoguer avec des concepts comme l’harmonie ou la caractéristique qui le suivront toute sa vie. Le texte est une introduction à cette nouvelle méthode, ses concepts et sa philosophie. Dans le texte, Leibniz détaille son système ambigu et pousse les considérations mathématiques assez loin pour être en mesure d’exhiber une équation générale capable d’engendrer toutes les sections coniques. Cet article propose une présentation des concepts, qu’ils soient mathématiques ou philosophiques, utilisés par Leibniz pour parvenir à ses fins. (shrink)