Jay Zeman one must keep a bright lookout for unintended and unexpected changes thereby brought about in the relations of different significant parts of the diagram to one another. Such operations upon diagrams, whether external or imaginary, take the place of the experiments upon real things that one performs in chemical and physical research. Chemists have ere now, I need not say, described experimentation as the putting of questions to Nature. Just so, experiments upon diagrams are questions put to (...) the Nature of the relations concerned (4.530). 1 The diagrammatic nature of mathematical reasoning suggests that as my power to create diagrams increases, so too will my capacity for fruitful mathematical reasoning. Peirce's own work involved an unending series of experiments with different diagrammatic notations, all interesting, some difficult, some extremely fruitful. And the diagrammatic notations available are not only a function of some kind of internal mental activity. As Dewey has noted, Breathing is an affair of the air as truly as of the lungs; digesting an affair of food as truly as of tissues of stomach (Dewey, 15); so analogously is mathematical reasoning an affair of the diagrams available as truly as of the mind (which is then not limited to something inside the head, but includes the relevant diagrams, external as well as internal); so does mathematical reasoning have its alembics and cucurbits just as surely as does chemistry. In doing mathematical reasoning, we make of the diagrams instruments of thought, and advances in the technology of diagrams can directly affect our patterns of reasoning. I can imagine Peirce spending hours (and dollars) in a modern artists' supply store. (shrink)
The paper is concerned with the semantics of knowledge attributions(K-claims, for short) and proposes a position holding that K-claims are contextsensitive that differs from extant views on the market. First I lay down the data a semantic theory for K-claims needs to explain. Next I present and assess three views purporting to give the semantics for K-claims: contextualism, subject-sensitive invariantism and relativism. All three views are found wanting with respect to their accounting for the data. I then propose a hybrid (...) view according to which the relevant epistemic standards for evaluating K-claims are neither those at the context of the subject (subject-sensitive invariantism), nor those at the context of the assessor (relativism), but it is itself an open matter. However, given that we need a principled way of deciding which epistemic standards are the relevant ones, I provide a principle according to which the relevant standards are those that are the highest between those at the context of the subject and those at the context of the assessor/attributor. In the end I consider some objections to the view and offer some answers. (shrink)
Origin of Species was published; he approached the end of his life just before Albert Einstein presented us with General Relativity. His lifetime saw the emergence of psychology as a discipline separate from philosophy, a birth attended by philosopher-psychologists such as his good friend William James. The work of Peirce, like that of the other American Pragmatists, reflects the ferment of the times. His thought bears the imprint of science, not the science of that Nineteenth Century which as Loren Eiseley (...) has remarked, "regarded the 'laws' of nature as imbued with a kind of structural finality, an integral determinism, which it was the scientists’ duty to describe," (Eisele, 1971) but rather, of science as open, as intrinsically revisable, as radically empirical. Working from the model of science in this latter sense, Peirce held that philosophy, and indeed logic.. (shrink)
The roughly two and a half millennia over which we can trace the development of mathematics as a discipline have seen ups and downs in its study; the "ups" have involved varying emphases and interests depending on the problems and the temper of the time. The 19th Century may be characterized as a period of development of rigor and attention to the axiomatic method in mathematics. This focus on the deductive process in mathematics was accompanied by the application of mathematics (...) in the study of the deductive process itself. It is safe, I think, to say that the best-known and most influential of the lines of.. (shrink)
Summary An introductory article, giving first a short historical exposition of philosophical thinking in Russia and Czechoslovakia. Second, basic trends in the Philosophy of Science in Russia and Poland are dealt with, followed by a briefer consideration of similar trends in other East European countries. A special article on Czechoslovakia will be published later. Some original philosophical contributions, especially of Polish philosophers, are mentioned. Supplemented with selected bibliography.
conditional with his discussions of the hypothetical proposition. Peirce spoke often of the consequentia de inesse ,1 the concept of which is intimately linked with the material, or "Philonian" conditional; indeed, we shall see him calling himself a Philonian. And it is not uncommon to hear Peirce—at least prior to the last decade of his life—declared a Philonian, whose fundamental analysis of the conditional was essentially the same as that of Philo (and of more modern types like Russell and like (...) Quine). (shrink)
Gestalt Work--the therapeutic and growth activities that are the practice of Gestalt Therapy--is as varied and difficult to characterize, it would seem, as are the situations that give rise to it. I wish to begin an examination of this activity; our perspective may be called philosophical, but it is a philosophy whose entire raison d'être is its impact on lived experience. As such, it makes free use of the results of experience, including in an important way the methodology and insights (...) of science; indeed, the concepts themselves of Gestalt Psychology lend considerable depth and power to this philosophical approach. (shrink)
Events in the history of thought have often moved as elements of drama—now tense, now tragic, now triumphant. And, it would appear, sometimes ludicrous. This latter is the thrust of a parody which Molière visited upon the savants of his day; he pictures a candidate for a medical degree being solemnly asked why opium puts people to sleep. Just as solemnly and sagaciously, the candidate replies..
Over a decade ago, John Sowa (1984) did the AI community the great service of introducing it to the Existential Graphs of Charles Sanders Peirce. EG is a formalism which lends itself well to the kinds of thing that Conceptual Graphs are aimed at. But it is far more; it is a central element in the mathematical, logical, and philosophical thought of Peirce; this thought is fruitful in ways that are seldom evident when we first encounter it. In one (...) of his major works on Existential Graphs, Peirce remarks that.. (shrink)
Given a Mahlo cardinal κ and a regular ε such that $\omega_1 we show that $\diamond_\kappa (cf = \epsilon)$ holds in V provided that there are only non-stationarily many $\beta , with o(β) ≥ ε in K.
Recent discussions on the political role of some 20th Century philosophers and their ideas, from Heidegger to Sartre and Lukacs, offer some new venues for our analysis of the similar role played by some of the classical figures in the history of modem philosophy. We have attempted to review some relevant aspects of Fichte’s philosophy, in particular as to their possible influence on the war supporting ideology created by German intellectuals at the outbreak of the World War I - so-called (...) ideas of Fall 1914.Des discussions récentes sur le rôle politique de certains philosophes du XXe siècle et de leurs idées, de Heidegger à Sartre et Lukacs, offrent de nouvelles avenues pour I’analyse du role similaire qu’auraient joué quelques figures classiques de I’histoire modeme de la philosophie. Nous nous sommes penché sur quelques aspects pertinents de la philosophie fichtéenne, en particulier sur ceux qui serapportent à son influence possible sur l’idéologie belliciste défendue par les intellectuels allemands au début de la Première Guerre mondiale, connue en tant qu’idées d’Automne 1914. (shrink)
We come to the full possession of our power of drawing inferences, the last of all our faculties; for it is not so much a natural gift as a long and difficult art. The history of its practice would make a grand subject for a book. The medieval schoolmen, following the Romans, made logic the earliest of a boy's studies after grammar, as being very easy. So it was as they understood it. Its fundamental principle, according to them, was, that (...) all knowledge rests either on authority or reason; but that whatever is deduced by reason depends ultimately on a premiss derived from authority. Accordingly, as soon as a boy was perfect in the syllogistic procedure, his intellectual kit of tools was held to be complete. (shrink)
We prove that in all Mitchell-Steel core models, □ κ holds for all κ. (See Theorem 2.). From this we obtain new consistency strength lower bounds for the failure of □ κ if κ is either singular and countably closed, weakly compact, or measurable. (Corallaries 5, 8, and 9.) Jensen introduced a large cardinal property that we call subcompactness; it lies between superstrength and supercompactness in the large cardinal hierarchy. We prove that in all Jensen core models, □ κ holds (...) iff κ is not subcompact. (See Theorem 15; the only if direction is essentially due to Jensen.). (shrink)
I address the question of the origins and historical meaning of art. Analyzing suggestions from Marx, Derrida, Winnicott, and Todorov, I claim that art doesn’t simply represent conscious, historical events but is also the continuing presentation of the prehistorical break-up of our “original” human family. Indeed,perpetuating yet distancing this archaic scene of community and violence in tension, art performs this mediation not just in history but also as history, as a secretive historiography of splitting and meaning-making. To this end, I (...) analyze some tribal tattooing and scarring practices. Literally carving a world of metaphorical significance out of our disidentification with mother nature and with each other in turn, art speaks hieroglyphically of persistent primitive loss. (shrink)
This paper sketches out Peirce's "theory of indeterminacy" as part of a larger "triadic" theory within the context of the semiotic. It then examines the theory of the object in his later work, emphasizing the difference between immediate and dynamical object. The role of collateral experience is discussed. Connections are drawn between Peircean indeterminacy and Kant. The relationship of the indeterminate to contradiction and excluded middle is discussed. 'Determination', 'vagueness', and 'generality' are discussed in detail in the context established in (...) this paper. (shrink)
In this paper, I explore several versions of the bundle theory and the substratum theory and compare them, with the surprising result that it seems to be true that they are equivalent (in a sense of ‘equivalent’ to be specified). In order to see whether this is correct or not, I go through several steps: first, I examine different versions of the bundle theory with tropes and compare them to the substratum theory with tropes by going through various standard objections (...) and arguing for a tu quoque in all cases. Emphasizing the theoretical role of the substratum and of the relation of compresence, I defend the claim that these views are equivalent for all theoretical purposes. I then examine two different versions of the bundle theory with universals, and show that one of them is, here again, equivalent to the substratum theory with universals, by examining how both views face the famous objection from Identity of Indiscernibles in a completely parallel way. It is only the second, quite extreme and puzzling, version of the bundle theory with universals that is not equivalent to any other view; and the diagnosis of why this is so will show just how unpalatable the view is. Similarly, only a not-so-palatable version of the substratum theory is genuinely different from the other views; and here again it’s precisely what makes it different that makes it less appealing. (shrink)
In his "Two Concepts of Possible Worlds" (1986), Peter Van Inwagen explores two kinds of views about the nature of possible worlds: abstractionism and concretism. The latter is the view defended by David Lewis, who claims that possible worlds are concrete spatio-temporal universes, very much like our own, causally and spatio-temporally disconnected from each other. The former is the view of the majority, who claim that possible worlds are some kind of abstract objects – such as propositions, properties, states of (...) affairs or sets of numbers. In this paper, I will develop this view in an "extreme abstractionist" way, appealing to a "modal bundle theory", and I will try to show that it is preferable to the standard abstractionist views. Finally, I will compare this kind of abstractionism to concretism, only to find that the difference between the two is minimal. (shrink)
In this paper, I examine various theories of persistence through time under presentism. In Part I, I argue that both perdurantist views (namely, the worm view and the stage view) suffer, in combination with presentism, from serious difficulties and should be rejected. In Part II, I discuss the presentist endurantist view, to see that it does avoid the difficulties of the perdurantist views, and consequently that it does work, but at a price that some may consider as being very high: (...) its ontological commitments to platonic universals and to the substratum theory, that as we shall see follow from the combination of endurantism with presentism, will perhaps not be to everyone's taste. (shrink)
In a recent paper, Jiri Benovsky argues that the bundle theory and the substratum theory, traditionally regarded as ‘deadly enemies’ in the metaphysics literature, are in fact ‘twin brothers’. That is, they turn out to be ‘equivalent for all theoretical purposes’ upon analysis. The only exception, according to Benovsky, is a particular version of the bundle theory whose distinguishing features render unappealing. In the present reply article, I critically analyse these undoubtedly relevant claims, and reject them.
The eternalist endurantist and perdurantist theories of persistence through time come in various versions, namely the two versions of perdurantism: the worm view and the stage view , and the two versions of endurantism: indexicalism and adverbialism . Using as a starting point the instructive case of what is depicted by photographs, I will examine these four views, and compare them, with some interesting results. Notably, we will see that two traditional enemies—the perdurantist worm view and the endurantist theories—are (...) more like allies : they are much less different than what is usually thought, and some alleged points of central disagreement fall prey to closer scrutiny. The aim of this paper is to examine carefully all those points, and to call attention to the places where the real differences between these views lie. I will then turn to the perdurantist stage view, and claim that with respect to some central issues it is the view that is the most different from the other three, but that in some places the reason why it different is also the reason why it is less satisfactory. (shrink)
How do ordinary objects persist through time and across possible worlds ? How do they manage to have their temporal and modal properties ? These are the questions adressed in this book which is a "guided tour of theories of persistence". The book is divided in two parts. In the first, the two traditional accounts of persistence through time (endurantism and perdurantism) are combined with presentism and eternalism to yield four different views, and their variants. The resulting views are then (...) examined in turn, in order to see which combinations are appealing and which are not. It is argued that the 'worm view' variant of eternalist perdurantism is superior to the other alternatives. In the second part of the book, the same strategy is applied to the combinations of views about persistence across possible worlds (trans-world identity, counterpart theory, modal perdurants) and views about the nature of worlds, mainly modal realism and abstractionism. Not only all the traditional and well-known views, but also some more original ones, are examined and their pros and cons are carefully weighted. Here again, it is argued that perdurance seems to be the best strategy available. (shrink)
Abstract: There are two traditionally rival views about the nature of time: substantivalism that takes time to be a substance that exists independently of events located in it, and relationism that takes time to be constructed out of events. In this paper, first, I want to make some progress with respect to the debate between these two views, and I do this mainly by examining the strategies they use to face the possibilities of ‘empty time’ and ‘time without change’. As (...) we shall see, the two allegedly very different rival views are much less different than has been thought: their structure is extremely similar, their strategies are extremely similar, and they can both face the possibilities of ‘empty time’ and ‘time without change’ in the same way. Thus, I argue in favour of a certain kind of equivalence between the two views; I discuss a Strong and a Weak version of this claim; and I provide reasons for endorsing the former. I also discuss the parallel between this pair of views about the nature of time and another analogous pair of views: the bundle theory and the substratum theory about the nature of material objects, with respect to the problem with Identity of Indiscernibles. (shrink)
Is the self a substance, as Descartes thought, or is it 'only' a bundle of perceptions, as Hume thought ? In this paper I will examine these two views, especially with respect to two central features that have played a central role in the discussion, both of which can be quickly and usefully explained if one puts them as an objection to the bundle view. First, friends of the substance view have insisted that only if one conceives of the self (...) as a substance is it possible to account for genuine particularity of selves and genuine persistence through time of them. I will discuss in detail this claim as well as a special case of persistence - the case of a fission of a self - and I will ask, as Shoemaker (1997) did, how such a case can be handled by the two competing theories. The second central point of traditional disagreement concerns independence : it is often said that only a substance, but not a mere bundle, is independent enough of its properties to play properly the role of a self, and I will have something to say about this. Concerning all these points, my thesis will be a meta-theoretical one : contrary to appearances, both views can accommodate all of them (particularity at a time, persistence, fission, independence) in the same way, and I will examine two possible conclusions to be drawn from this : either that the differences between the two views are no more than terminological and that they turn out to be equivalent views, or that the differences are metaphysical but that it is epistemically under-determined which one of the views we should choose. (shrink)
Ordinary objects are vague, because either (i) composition is restricted, or (ii) there really are no such objects (but we still want to talk about them), or (iii) because such objects are not metaphysically (independently of us) distinguishable from other 'extra-ordinary' objects. In any sense in which there are ordinary objects, they are vague.
Several metaphysical debates have typically been modeled as oppositions between a relationist approach and a substantivalist approach. Such debates include the Bundle Theory and the Substratum Theory about ordinary material objects, the Bundle (Humean) Theory and the Substance (Cartesian) Theory of the Self, and Relationism and Substantivalism about time. In all three debates, the substantivalist side typically insists that in order to provide a good treatment of the subject-matter of the theory (time, Self, material objects), it is necessary to postulate (...) the existence of a certain kind of substance, while the other side, the relationist one, characteristically feels that this is an unnecessary expense and that one can get the job done in an ontologically cheaper way just with inter-related properties or events. In this paper I shall defend the view that there is much less of a disagreement between relational ontologies and substantival ontologies than it is usually thought. I believe that, when carefully examined, the two sides of the debate are not that different from each other, in all three cases of pairs of views mentioned above. As we will see, both the relational side and the substantival side work in the same way, suffer from and answer the same objections, and are structurally extremely similar. It will be an important question—one that I shall discuss in detail, and that is indeed the main point of interest for me in this paper—whether this means that the two sides of the debate are somehow ‘equivalent’ or not, and what ‘equivalent’ could mean. (shrink)
Is there an entity such that it can be in two places at the same time ? According to one traditional view, properties can, since they are immanent universals. But what about objects such as a person or a table ? Common sense seems to say that, unlike properties, objects are not multiply locatable. In this paper, I will argue first of all that endurantism entails a consequence that is quite bizarre, namely, that objects are universals, while properties are particulars. (...) I then conclude by examining and rejecting two theories according to which objects can wholly be in two places at the same time. (shrink)
In Fechner's psychophysics, the 'mental' and the 'physical' were conceived as two phenomenal domains, connected by functional relations, not as two ontologically different realms. We follow the path from Fechner's foundational ideas and Mach's radical programme of a unitary science to later approaches to primary, psychophysically neutral experience (phenomenology, protophysics). We propose an 'integral psychophysics' as a mathematical study of law-like, invariant structures of primary experience. This approach is illustrated by a reinterpretation of psychophysical experiments in terms of perceptual situations (...) involving a constructed apparatus and an instructed subject. The problematic notion of 'measurement of sensation' is thus eliminated: 'sensations' are merely indices for classes of perceptually equivalent configurations (states of the apparatus) specified by the instruction. The locus of the measured is in the inter-subjectively shared, communicable world—not inside the subject's mind. Finally we discuss the role of integral psychophysics as a scientia prima , logically and methodically preceding physics and psychology. (shrink)
If ordinary particulars are bundles of properties, and if properties are said to be universals, then three well-known objections arise : no particular can change, all particulars have all of their properties essentially (even the most insignificant ones), and there cannot be two numerically distinct but qualitatively indiscernible particulars. In this paper, I try to make a little headway on these issues and see how the objections can be met, if one accepts a certain view about persistence through time and (...) across possible worlds – namely, four-dimensionalism and its modal analogue. The paper is especially devoted to the second and third of the three objections. (shrink)
The main task of this paper is to understand if and how static images like photographs can represent and/or depict temporal extension (duration). In order to do this, a detour will be necessary to understand some features of the nature of photographic representation and depiction in general. This important detour will enable us to see that photographs (can) have a narrative content, and that the skilled photographer can 'tell a story' in a very clear sense, as well as control and (...) guide the attention of the spectator of the photograph. The understanding and defence of this claim is a secondary aim of this paper, and it will then allow us to provide a good treatment of the particular case of photographic representation and depiction of temporal extension. (shrink)
Does mere passage of time have causal powers ? Are properties like "being n days past" causally efficient ? A pervasive intuition among metaphysicians seems to be that they don't. Events and/or objects change, and they cause or are caused by other events and/or objects; but one does not see how just the mere passage of time could cause any difference in the world. In this paper, I shall discuss a case where it seems that mere passage of time does (...) have causal powers : Sydney Shoemaker's (1969) possible world where temporal vacua (allegedly) take place. I shall argue that Shoemaker's thought-experiment doesn't really aim at teaching us that there can be time without change, but rather that if such a scenario is plausible at all (as I think it is) it provides us with good reasons to think that mere passage of time can be directly causally efficient. (shrink)
Metaphysical theories are often counter-intuitive. But they also often are strongly supported and motivated by intuitions. One way or another, the link between intuitions and metaphysics is a strong and important one, and there is hardly any metaphysical discussion where intuitions do not play a crucial role. In this article, I will be interested in a particular kind of such intuitions, namely those that come, at least partly, from experience. There seems to be a route from experience to metaphysics, and (...) this is the core of my interest here. In order to better understand such ‘arguments from experience’ and the kind of relationship there is between this type of intuitions and metaphysical theories, I shall examine four particular cases where a kind of experience-based intuition seems to motivate or support a metaphysical theory. At the end of the day, I shall argue that this route is a treacherous one, and that in all of the four cases I shall concentrate on, phenomenological considerations are in fact orthogonal to the allegedly ‘corresponding’ metaphysical claims. An anti-realist view of metaphysics will emerge. (shrink)
This article focuses on theoretical reflections on sovereignty and constitutionalism in the context of the globalization and Europeanisation of the nation states, their politics, and legal systems. Starting from a critical assessment of the Kelsen-Schmitt polemic, the author claims that sovereignty needs to be analysed by the sociological method in order to disclose its current structural differentiation. The constitution of society may be imagined as the multitude of self-constituted and functionally differentiated social subsystems. The constitutional pluralism argument subsequently reconceptualizes sovereignty (...) as socially differentiated and divided between specific subsystems. The EU's differentiated constitutional domain and the paradox of divided sovereignty are used as examples of profound structural and semantic changes in contemporary national and transnational societies. While the sovereign nation-state institutions have become marginalized in political structures of European societies, the self-constitutionalization of the functionally differentiated EU legal system proceeds by internalizing the concept of divided sovereignty and using it semantically as its mode of self-reference. (shrink)
David Lewis' modal counterpart theory falls prey to the famous Saul Kripke's objection, and this is mostly due to his 'static' ontology (divergence) of possible worlds. This paper examines a genuinely realist but different, branching ontology of possible worlds and a new definition of the counterpart relation, which attempts to provide us with a better account of de re modality, and to meet satisfactorily Kripke's claim, while being also ontologically more 'parsimonious'.
In this paper, I argue that (non-presentist) endurantism is incompatible with the view that properties are universals. I do so by putting forward a very simple objection that forces the endurantist to embrace tropes, rather than universals. I do not claim that this is bad news for the endurantist—trope theory seems to me by all means more appealing than universals—rather, I would like to see this result as a further motivation to embrace tropes. I then also put forward a (more (...) controversial) reason to believe that at least some versions of perdurantism also require tropes rather than universals. (shrink)
Ve svém článku ‘Je elementární logika totéž co predikátová logika prvního řádu?’ (Pokroky matematiky, fyziky a astronomie 42, 1997, 127-133) klade Jiří Fiala nesmírně zajímavou otázku, zda je opodstatněné ztotožňovat elementární logiku s predikátovou logikou prvního řádu; s pomocí argumentů propagovaných již delší dobu finským logikem a filosofem Jaako Hintikkou (viz již jeho Logic, Language-Games and Information, Clarendon Press, Oxford, 1973; nejnověji jeho The Principles of Mathematics Revisited, Cambridge University Press, Cambridge, 1996) naznačuje, že by tomu tak být nemuselo. (...) Myslím, že uváděná argumentace stojí za bližší rozbor. Hintikka v podstatě říká: Kvantifikované formule predikátové logiky jsou svou podstatou o vybírání prvků z univerza; například ∀x∃yR(x,y) neříká nic jiného než to, že ke každému x můžeme vybrat y, které je k němu ve vztahu R. Obecněji říká Hintikka to, že každá formule je vlastně zápisem určité hry (ve smyslu matematické teorie her), jejíž některé tahy spočívají ve vybírání individuí. Na základě tohoto se pak ptá: je nějaký rozumný důvod, proč se omezovat jenom na hry toho typu, které jsou vyjádřitelné formulemi standardního predikátového počtu? Proč připouštět jen hry s úplnou informací (tj. ty, při kterých jsou při každém tahu k dispozici všechny tahy předchozí), proč vylučovat hry jiné; tudíž proč připouštět jen lineárně uspořádané kvantifikátory, a nepřipustit i kvantifikátory uspořádané třeba jen částečně? Hintikkova argumentace je příkladem argumentace typu formule logiky prvního řádu jsou ve skutečnosti o tom a o tom, tudíž ... . Uveďme pro ilustraci jiný nedávný příklad stejného argumentačního schématu, který pochází od Johana van Benthema (Exploring Logical Dynamics, CSLI, Stanford, 1997). Ten říká: Kvantifikátory jsou v podstatě modality, kvantifikované formule jsou tedy formule modální a jsou tudíž o existenci nějakých alternativ: formule ∀xP(x) říká, že P(x) je nutné, neboli že P(x) platí v každém „dosažitelném možném stavu věcí“, zatímco formule ∃xP(x) říká, že P(x) je možné, neboli že platí alespoň v jednom takovém stavu věcí.. (shrink)
In most metaphysical debates a lot depends on primitives – indeed, metaphysical theories heavily rely on the use of primitives that they typically appeal to. I will start by shortly examining and evaluating some traditional well-known theories and I will discuss the role of primitives in metaphysical theories in general. I will then turn to a discussion of claims of 'equivalence' between theories that, I think, depend on equivalences of primitives, and I will explore the nature of primitives in general. (...) By doing this, I would like to emphasize the utmost importance of primitives in the construction of metaphysical theories and in the subsequent evaluation of them. I will then claim that almost all explanatory power of metaphysical theories comes from their primitives, and so I will turn to scrutinize the notion of "power" and "explanatory". All together, these points will naturally lead me to defend a global view on the nature of the metaphysical enterprise : what is at stake in metaphysics is to find out not just what there is or what there is not, but what is more fundamental than what – to find out what are the best primitives. (shrink)
This article reinterprets the Kelsen-Schmitt debate in the context of social systems theory and rethinks its major concepts as part of legal and political self-reference and systemic differentiation. In Kelsen?s case, it is the exclusion of sovereignty from juridical logic that opens a way to the self-reference of positive law. Similarly, Schmitt constructed his concept of the political as a self-referential system of political operations protected from the social environment by the medium of power. The author argues that the process (...) of legal and political globalisation rules out the possibility of formulating substantive theories of the state associating this particular social organisation with metaphysical values and a self-validating collective identity. Kelsen and Schmitt continue to inspire current theories of non-metaphysical globalised law and politics. However, the constitutional state and sovereignty need to be reformulated as a meeting point of functionally differentiated and globalised legal and political communications and not as their ultimate end. (shrink)
There are three main traditional accounts of vagueness : one takes it as a genuinely metaphysical phenomenon, one takes it as a phenomenon of ignorance, and one takes it as a linguistic or conceptual phenomenon. In this paper I first very briefly present these views, especially the epistemicist and supervaluationist strategies, and shortly point to some well-known problems that the views carry. I then examine a 'statistical epistemicist' account of vagueness that is designed to avoid precisely these problems – it (...) will be a view that provides an account of the phenomenon of vagueness as coming from our linguistic practices, while insisting that meaning supervenes on use, and that our use of vague terms does yield sharp and precise meanings, which we ignore, thus allowing bivalence to hold. (shrink)
Model-theoretic concepts of saturation and categoricity are studied in the context of accessible categories. Accessible categories which are categorical in a strong sense are related to categories of M-sets (M is a monoid). Typical examples of such categories are categories of λ-saturated objects.
History and the philosophy of science have played a very important role in dialectical materialism; their results have been destined to support the correctness of the ideas of Marxist philosophers, especially in their application in historical materialism.From this point of view, the circumstances of the origin of the works of the Marxist classics cannot be neglected: Engels wrote hisDialectics in Nature in the period of classical physics, and Lenin published hisMaterialism and Empirio-Criticism at the beginning of the 20th century when (...) our modern physics first began: shortly before the publication of Lenin's book, Röntgen and Becquerel discovered new kinds of radiation, Balmer published his ideas concerning the regularity of the hydrogen spectrum, Plank wrote his first articles about the elementary quantum and Einstein published his three famous articles (1905). (shrink)
Finitary quasivarieties are characterized categorically by the existence of colimits and of an abstractly finite, regularly projective regular generator G. Analogously, infinitary quasivarieties are characterized: one drops the assumption that G be abstractly finite. For (finitary) varieties the characterization is similar: the regular generator is assumed to be exactly projective, i.e., hom(G, –) is an exact functor. These results sharpen the classical characterization theorems of Lawvere, Isbell and other authors.
