Kit Fine has reawakened a puzzle about variables with a long history in analytic philosophy, labeling it “the antinomy of the variable”. Fine suggests that the antinomy demands a reconceptualization of the role of variables in mathematics, natural language semantics, and first-order logic. The difficulty arises because: (i) the variables ‘x’ and ‘y’ cannot be synonymous, since they make different contributions when they jointly occur within a sentence, but (ii) there is a strong temptation to say that distinct variables ‘x’ (...) and ‘y’ are synonymous, since sentences differing by the total, proper substitution of ‘x’ for ‘y’ always agree in meaning. We offer a precise interpretation of the challenge posed by (i) and (ii). We then develop some neglected passages of Tarski to show that his semantics for variables has the resources to resolve the antinomy without abandoning standard compositional semantics. (shrink)

The antinomy of teleological judgment is one of the most controversial passages of Kant’s "Critique of the Power of Judgment". Having developed the idea of an explanation of organized beings by mechanical and teleological natural laws in §§ 61-68, in §§ 69-78 Kant raises the question of whether higher order mechanical and teleological natural laws, which unify the particular empirical laws of organized beings, might pose an antinomy of conflicting principles within the power of judgment. I will argue against alternative (...) views that this antinomy is neither a conflict between objective constitutive principles of the determining power of judgment nor a conflict between an objective constitutive principle of the determining power of judgment and a subjective regulative maxim of the reflecting power of judgment nor does it consist in a confusion of a pair of subjective regulative maxims of the reflecting power of judgment with a pair of objective constitutive principles of the determining power of judgment, but does consist in an apparent conflict between mechanical and teleological natural laws as subjective regulative maxims of the reflecting power of judgment. I will further argue that Kant’s resolution of the antinomy consists in the regulative idea of a supersensible that represents the unity of both kinds of natural laws and justifies the unification of both kinds of natural laws in the human power of judgment. Kant uses three notions when he talks about the supersensible – the regulative idea of a divine artisan, the regulative idea of a divine intuitive understanding, and the regulative idea of an underdetermined, supernatural ground of nature. I will show how each of these notions accounts for the unity of both kinds of natural laws and will discuss possible correlations between them. I will then explain how the unity of both kinds of natural laws in the regulative idea of a supersensible accounts for the unification of both kinds of natural laws in the human power of judgment. While the divine intuitive understanding is perfect and uncreated and, thus, capable of a representation of the unity of both kinds of natural laws, the human discursive understanding is imperfect and created; it is capable only of the representation of the unification of both kinds of natural laws in form of a hierarchy of laws. (shrink)

The aim of this paper is to show that there is a genuine difficulty in Kant’s argument regarding the connection between mechanism and teleology. But this difficulty is not the one that is usually underlined. Far from consisting in a contradiction between the first and the third Critique, I argue that the genuine difficulty is intrinsic to the antinomy of reflective judgement: rather than having any hope of resolving anything, it consists in an inescapable conflict. In order to support this (...) claim, I show firstly why converting the thesis of the antinomy about mechanism into reflective judgement does not require renunciation of the universality of causality demonstrated in the first Critique. Then, I suggest that the actual difficulty with Kant’s argument is that there is a genuine conflict inherent in the reflective form of the antinomy. Finally, I examine in detail the antinomy of reflective judgement and compare it to the other Kantian antinomies in order to show that its uniqueness makes it uniquely troubling. This leads me to conclude that the Kantian resolution of the conflict between mechanism and teleology is unsatisfactory. (shrink)

Kant’s Antinomy of Teleological Judgment is unique in offering two pairs of oppositions, one of regulative maxims, and the other of constitutive principles. Here I defend a traditional interpretation of the antinomy— as proposed, for example, by Stadler (1874), Adickes (1925), and Cassirer (1921)—that the antinomy consists in an opposition between constitutive principles, and is resolved by pointing out their legitimate status as merely regulative maxims. I argue against recent interpretations—for example, in McLaughlin (1990), Allison (1991), and Watkins (2009)—which treat (...) the regulative pair as itself antinomial. I then address several textual worries having to do with reconciling the traditional interpretation within the overall structure of the Dialectic of Teleological Judgment that have led these scholars to espouse the new view. Throughout the paper, I emphasize hitherto neglected parallels with Kant’s treatment of the antinomy of taste, which sheds light on understanding the antinomy of teleology. (shrink)

The Antinomies of Huxley Novel "Brave New World".

A liberal antinomy of parenting exists: strong liberal intuitions militate in favor of both denying special resources to parenting projects (on grounds of project-neutrality) and granting them (on grounds of respect for personhood). I show that we can reconcile these two claims by rejecting a premise common to both--viz. that liberalism is necessarily committed to extensive procreative liberties--and limiting procreation and subsequent parenting to adults who meet certain psychological and especially financial criteria. I also defend this argument, which provides a (...) Kantian complement to utilitarian arguments for restricting procreation, against a variety of objections. (shrink)

Les pensées de l’action de Weil et de Camus se heurtent à une même antinomie : la volonté d’agir raisonnablement implique à la fois de renoncer à toute action, car une action ne peut être efficace que si elle est potentiellement violente, et d’agir, car s’abstenir de toute action signifie accepter la violence présente. L’agent doit dès lors justifier la violence qu’il met en œuvre. En conséquence, cet article confronte la manière dont ces deux auteurs s’efforcent de résoudre cette difficulté. (...) Une telle confrontation nous permet, d’une part, de trouver chez Weil les fondements philosophiques qui manquent à la pensée camusienne. D’autre part, la lecture de Camus nous prémunit contre une interprétation erronée de la justification weilienne de moyens violents par une fin raisonnable. (shrink)

Résumé Le débat holisme-réductionnisme se structure autour de trois domaines sémantiques : l 'ontologie, la méthodologie et l'épistémologie. Généralement, une méthodologie analytique s'accompagne d'une ontologie atomiste et de la réduction des lois et théorie des niveaux d'organisation supérieurs aux lois et théorie des niveaux inférieurs. Par contre, une ontologie holiste, relationnelle peut s'accorder au concept d'émergence. En conséquence dans l'élaboration des lois et théories d'un phénomène appartenant à un niveau donné la prise en compte du niveau d'organisation supérieurs se révélera (...) déterminante. Les propositions philosophiques anti-mécanicistes de précurseur tels que Bradley, S. Alexander, A.N. Whitehead, C.L. Morgan, D.C. Broad, même en restant au niveau d'une forme de proto-émergentisme représentent le fondement épistémologique à partir duquel s'est développée une méthodologie véritablement émergentiste. Abstract The holism-reductionism debate is structured around three areas of semantics: ontology, methodology and epistemology. As a general rule, an analytical methodology goes with an atomist ontology, and the reduction of laws and theories from the higher levels of organisation to the laws and theories of lower levels. On the other hand, a holistic and relational ontology can be in unison with the concept of emergence. As a consequence, in elaborating laws and theories of a phenornenon of a given level, taking into account that the higher level of organisation will be determinant. The philosophical and anti-mechanistic propositions of precursors such as F. Bradley, S. Alexander, A.N. Whitehead, C.L. Morgan, D.C. Broad, even remaining at the level of a kind of proto-emergentism represent the epistemological basis on which a true emergentist methodology has been developed. (shrink)

In his Critique of Judgment (1790) Kant develops a teleology of nature. The concept of natural purpose leads him to the problem of the antinomy of teleological judgment. However, some ambiguity about what is said in the paragraphs concerned has frequently caused difficulties for the understanding of one of the core parts of the 3rd Critique. I argue that a coherent reading of §§69-71can nevertheless be achieved. In order to critically review and complete previous research I will primarily be focusing (...) on those passages which are notorious for their lack of clarity. The main problems regarding the interpretation of the antinomy’s identity can be solved. The results of this paper speak in favour of the currently prevailing view that holds the antinomy to be a genuine contradiction between two regulative principles. (shrink)

In this paper, I want to look at the way in which Deleuze's reading of Kant's transcendental dialectic influences some of the key thèmes of Différence and Répétition. As we shall see, in the transcendental dialectic, Kant takes the step of claiming that reason, in its natural functioning, is prone to misadventures. Whereas for Descartes, for instance, error takes place between two faculties, such as when reason (wrongly) infers that a stick in water is bent on the basis of sensé (...) impressions, Kant postulâtes that reason générâtes illusions internally purely in the course of its natural function. It is thèse illusions which lead reason into antinomy, as on the basis of thèse illusions, it is led to posit an illegitimate concept of the world as a totality. Further, for Kant, the antinomies represent an indirect proof of transcendental idealism, as it is only with the additional assumption of the noumenon, as that which falls outside of appearance, that we are able to résolve the antinomies. Deleuze's work on the image of thought clearly owes a great deal to Kant's theory of transcendental illusion, but the connections between Kant's transcendental dialectic and the structure of Différence and Répétition go deeper than this. Whereas Kant's problem is that reason générâtes contradictions when it assumes that the unconditioned can be given to reason, Deleuze's problem is the impossibility of developing a concept of différence within représentation. Between thèse two problems, there are significant structural parallels - in particular, the attempt to think outside the dichotomy of the finite and the infinité, and the attempt to prevent the application of spatio-temporal predicates to the noumenon. The antinomy of représentation for Deleuze is the inability of représentation to think différence apart from as purely representational or as undifferenciated abyss. As we shall see, Deleuze gives an explanation of this antinomy in terms of the differential calculus, and the notion of the differential in particular. While thèse parallels exist between Kant and Deleuze's thought, there are also some important différences. Although the differential is not determined in relation to représentation, this does not mean that it lacks ail détermination. This opens up a possibility not available in Kant's philosophy, that is, a thinking beyond the limit of représentation. As we shall see, Kant closes off this possibility by giving reason a heuristic function which in effect reinstates représentation. Kant makes this move precisely because the lack of spatiotemporal déterminations of the noumenal means for Kant that the noumenal lacks déterminations altogether. (shrink)

Kant argues in the Critique of the Teleological Power of Judgment that the first stage in resolving the problem of teleology is conceiving it correctly. He explains that the conflict between mechanism and teleology, properly conceived, is an antinomy of the power of judgment in its reflective use regarding regulative maxims, and not an antinomy of the power of judgment in its determining use regarding constitutive principles. The matter in hand does not concern objective propositions regarding the possibility of objects (...) or actual features of certain objects, namely, organisms. It is rather a methodological issue as to the appropriate way to explain the generation, development, and function of organisms. Taken in this manner as subjective maxims guiding the explanation and inquiry of organisms, the principles of mechanism and teleology need not necessarily be seen as contradictorily opposed but instead can be combined in the study of organisms. This, however, is not enough to complete the analysis of the antinomy of the teleological power of judgment. In order to show that there is an antinomy in this case, Kant has to establish that both seemingly conflicting maxims are necessary and natural to the human mind. He does it by grounding them in the ‘special character’ or peculiarity (Eigentümlichkeit) of the human understanding. However, it is not entirely clear just what exactly this peculiarity of the human understanding is. Paul Guyer argues that Kant suggests two different accounts of the peculiarity of the human intellect. According to one account, this peculiarity consists in the fact that our understanding forms general concepts and according to another, in its propensity to proceed from the parts to the whole. I will argue in this paper that Kant puts forward a single account, in which the combination of these two features demonstrate the peculiarity of the human understanding manifested in the encounter with organisms. This account explains the necessity of the regulative maxims of mechanism and teleology, and thus completes Kant’s analysis of the antinomy of the teleological power of judgment. (shrink)

The distinction of things in themselves and appearances is an integral part of Kant’s transcendental idealism, yet it has often been met with rather significant hostility. Moreover, what surely has not contributed to the popularity of this Kantian doctrine is that there are, or at least there appear to be, two distinct models, detectable in Kant’s texts, to account for this distinction. Most commonly, these two models are called the “two aspect view” on the one hand and the “two world (...) view” on the other, but it is possible that these labels themselves invite misunderstandings and obscure rather than clarify what Kant had in mind with his distinction. In this paper, I shall first briefly discuss how these two models could be described and labelled in a more suitable manner, namely as the “one composite entity view” and the “two separate objects view”. Subsequently, I will enquire which of the models is pertinent for Kant’s solution to the 3rd antinomy. I will try to show that although the two models appear to be incompatible, it is at least plausible to read Kant as using both of them in this crucial text of his oeuvre. Moreover, Kant’s strategy in solving the freedom problem on the basis of an indirectly realist account of the divine intellect provides the clue to understanding how these seemingly incompatible models can co-exist without forcing Kant into maintaining contradictory claims. (shrink)

This paper discusses an apparent contrast between Kant’s accounts of the mathematical antinomies in the first Critique and in the Prolegomena. The Critique claims that the antitheses are infinite judgements. The Prolegomena seem to claim that they are negative judgements. For the Critique, theses and antitheses are false because they presuppose that the world has a determinate magnitude, and this is not the case. For the Prolegomena, theses and antitheses are false because they presuppose an inconsistent notion of world. (...) The paper argues that the contrast between the two works is only apparent, and provides an interpretation which removes it. (shrink)

Hegel famously criticizes Kant’s resolution of the antinomies. According to Sedgwick, Hegel primarily chastises Kant’s resolution for presupposing that concepts are ‘one-sided’, rather than identical to their opposites. If Kant had accepted the dialectical nature of concepts, then (according to Sedgwick) Kant would not have needed to resolve the antinomies. However, as Ameriks has noted, any such interpretation faces a serious challenge. Namely, Kant’s first antinomy concerns the universe’s physical dimensions. Even if we grant that the concept of (...) the finite is necessarily related to that of the infinite, the physical universe cannot both have and lack a temporal beginning. I argue that Hegel neither adopts Sedgwick’s view that Kant’s antinomies require no resolution nor absurdly accepts that the physical universe both has and lacks a temporal beginning. Instead, Hegel proposes a sophisticated resolution of Kant’s first antinomy (including its physical aspect) that depends on Hegel’s theory of the Absolute. (shrink)

The Thesis of Kant’s Third Antinomy asserts that, because it is “necessary to assume another causality through freedom” in order to derive all the appearances of the world, “causality in accordance with the laws of nature is not the only one” (A444/B472). The argument Kant supplies in support of this, however, has been the subject of interpretative disagreement since at least Schopenhauer, with the most plausible reconstructions being dismissed as question-begging, resting on a conflation relating to the principle of sufficient (...) reason, or attacking a straw-man of the Antithesis position. In this paper, I attempt to provide a novel interpretation of the argument for the Thesis position, one that offers a more compelling case against a charitably interpreted Antithesis position. (shrink)

An interpretation of Kant's first antinomy is defended whereby both its thesis and its antithesis depend on a common basic principle that Kant endorses, namely that there cannot be an ‘infinite contingency’, by which is meant a contingent fact about how an infinite region of space or time is occupied. The greatest problem with this interpretation is that Kant explicitly declines to apply counterparts of the temporal arguments in the antinomy to the world’s future, even though, if the interpretation is (...) correct, such arguments are clearly there to be applied. This problem, it is argued, is surmountable. (shrink)

The paper presents Alfred Tarski’s debate with the semantic antinomies: the basic Liar Paradox, and its more sophisticated versions, which are currently discussed in philosophy: Strengthen Liar Paradox, Cyclical Liar Paradox, Contingent Liar Paradox, Correct Liar Paradox, Card Paradox, Yablo’s Paradox and a few others. Since Tarski, himself did not addressed these paradoxes—neither in his famous work published in 1933, nor in later papers in which he developed the Semantic Theory of Truth—therefore, We try to defend his concept of (...) truth against these antinomies. It is demonstrated that Tarskian theory of truth is resistant to the paradoxes and it is still the best solution to avoid the antinomies and remain within a classical logic, that is, accepting the laws of noncontradiction, excluded middle, and the principle of bivalence. Thus, the goal of the paper is double—firstly, to show that none of the versions of the Liar Paradox’s is a serious threat to Tarski’s concept of truth, and secondly, that Semantic Theory of Truth allows to remain within classical logic, and at the same time, avoid antinomies—which makes it the most attractive among classical theories of truth. (shrink)

It has been noticed that self-referential, ambiguous definitional formulas are accompanied by complementary self-referential antinomy formulas, which gives rise to contradictions. This made it possible to re-examine ancient antinomies and Cantor’s Diagonal Argument (CDA), as well as the method of nested intervals, which is the basis for evaluating the existence of uncountable sets. Using Georg Cantor’s remark that every real number can be represented as an infinite digital expansion (usually decimal or binary), a simplified system for verifying the definitions (...) of real numbers, subsets, and strings was created - the Cantor Criterion, which allows faulty definitions to be pointed out. For the CDA, the connection of formulas defining objects (real numbers, subsets, strings) from outside the list with supplementary formulas was demonstrated - their indirect and indispensable nature testifies to the lack of unambiguity and gives rise to contradictions for Cantor’s antinomic formulas. Thus, Cantor’s theorem about the higher power of the set of all subsets, using the reductio ad absurdum proof, lost its power and it was indicated that it is necessary to correct the scheme of the Axiom of Specification, which was introduced precisely to exclude antinomies from set theory by excluding from the use of self-referential antinomies and ambiguous supplementary formulas coupled with them identified by the H hypothesis. The method of nested intervals was investigated and it was shown that every real number can be defined by the limit of nested intervals and a countable list of real numbers obtained from a countable pool of all Jules Richard’s texts. (shrink)

This essay is concerned with Graham Bird’s treatment, in The Revolutionary Kant, of Kant’s mathematical antinomies. On Bird’s interpretation, our error in these antinomies is to think that we can settle certain issues about the limits of physical reality by pure reason whereas in fact we cannot settle them at all. On the rival interpretation advocated in this essay, it is not true that we cannot settle these issues. Our error is to presuppose that the concept of the (...) unconditioned has application to physical reality. Once this presupposition has been abandoned, we can retrieve sound arguments from the antinomies, not indeed to demonstrate that the views originally being defended are correct, but to demonstrate that the views originally being attacked are incorrect. The essay concludes with some comments concerning how this disagreement relates to a broader disagreement about the best way to understand Kant. (shrink)

Resolution of Frege's Puzzle by denying that synonym substitution in logical truths preserves sentence sense and explaining how logical form has semantic import. Intensional context substitutions needn't preserve truth, because intercepting doesn't preserve sentence meaning. Intercepting is nonuniformly substituting a pivotal term in syntactically secured truth. Logical sentences and their synonym interceptions share factual content. Semantic content is factual content in synthetic predications, but not logical sentences and interceptions. Putnam's Postulate entails interception nonsynonymy. Syntax and vocabulary explain only the factual (...) content of synthetic predications; extrasentential reality explains their truth. Construction of logical factual content explains logical necessity. Terms retain objectual reference, but logical syntax preempts their function in explaining truth. Grasping the facts GG/gg assert entails understanding this. Understanding what GH states requires some recognition that GH must be true just because GmH, and GmH state an empirical fact. GH is standardly used to express that fact. Church's Test exposes puzzles. QMi sentences, and QTi sentences are metalogical necessities, true by syntax. Intercepting QMi creates empirical QM contingencies. Synonymy turns semantic contingencies into metalogical and lexical necessities. That transformation is syntactic, via the syntactic duality of definite descriptions. GmH is a contingent copredication, and a lexically necessary referential identity with rigidly codesignating indexicals. Metalogical sentences may be about expressional matter or what it expresses. GG has GG's semantic content, but the referent expression switches. Metalogical syntax secures truth by self-referential quotational indexing. Metalogically, referents are identified with intrasentential replica. Extrasentential identifications are metalogically irrelevant. (shrink)

Trying to define nothingness has always been a challenge for philosophers. What exactly is it? Does it share properties similar to spaces? Can we treat it as a ''thing'' ? We can say an object is inside nothingness, but how do we imagine that ''containment'' ?

The thesis that existence is radically different from the determinacy of an actually existing thing –Kant considers this thesis to be the unsurmountable objection against the cosmological and the ontological argument– is the same thesis that demands a specific explanation of the existence of that actually existing thing. The notion of existence that results from its complete exclusion from the realm of the contents thoroughgoing determined by real predicates requires, thus, precisely because this thoroughness excludes it, a specific reason that (...) explains that in the actually existing thing its own actual existence is in fact united with its own determinacy; that notion of existence, however, cancels at the same time the requirement of a sufficient reason of the existence of what actually exists, and again for the same reason, namely, because since existence is as such excluded from the determinacy of the existing things, it radically differs from the specific realm where determinacy is constituted (that is why existing things are thoroughgoing determined as possible), and, therefore, it invalidates any application to itself of the logical laws that are valid only for the merely possible domain of determinacy. (shrink)

We discuss misinformation about “the liar antinomy” with special reference to Tarski’s 1933 truth-definition paper [1]. Lies are speech-acts, not merely sentences or propositions. Roughly, lies are statements of propositions not believed by their speakers. Speakers who state their false beliefs are often not lying. And speakers who state true propositions that they don’t believe are often lying—regardless of whether the non-belief is disbelief. Persons who state propositions on which they have no opinion are lying as much as those who (...) state propositions they believe to be false. Not all lies are statements of false propositions—some lies are true; some have no truth-value. People who only occasionally lie are not liars: roughly, liars repeatedly and habitually lie. Some half-truths are statements intended to mislead even though the speakers “interpret” the sentences used as expressing true propositions. Others are statements of propositions believed by the speakers to be questionable but without revealing their supposed problematic nature. The two “formulations” of “the antinomy of the liar” in [1], pp.157–8 and 161–2, have nothing to do with lying or liars. The first focuses on an “expression” Tarski calls ‘c’, namely the following. -/- c is not a true sentence -/- The second focuses on another “expression”, also called ‘c’, namely the following. -/- for all p, if c is identical with the sentence ‘p’, then not p -/- Without argumentation or even discussion, Tarski implies that these strange “expressions” are English sentences. [1] Alfred Tarski, The concept of truth in formalized languages, pp. 152–278, Logic, Semantics, Metamathematics, papers from 1923 to 1938, ed. John Corcoran, Hackett, Indianapolis 1983. -/- https://www.academia.edu/12525833/Sentence_Proposition_Judgment_Statement_and_Fact_Speaking_about_th e_Written_English_Used_in_Logic. (shrink)

In his Critique of Pure Reason Immanuel Kant presents four anti- nomies. In his attempt to solve the first of these antinomies he examines and analyzes"thesis" and "antithesis" more thoroughly and employs the terms `part', `whole' and `boundary' in his argumentation for their validity. According to Kant, the whole problem surrounding the antinomy was caused by applying the concept of the world to nature and then using both terms interchangeably. While interesting, this solution is still not that much more (...) than a well thought out idea if it does not also include an adequate formal explication. Since the aforementioned terms all have counterparts in modern mereotopology, a discipline that has seen significant progress in recent times, we will apply these concepts to Kant's analysis in an attempt to evaluate Kant's solution in light of modern analytic philosophy. (shrink)

In the following pages, the main proposal is to indicate how Max Weber has dialogued directly with some prerogatives from Kant’s Critic of practical Reason, following the reception of Wilhelm Windelband’s concept of “responsibility” (Verantwortlichkeit) and his theory of values. In sight of these influences, in this paper will be argued how Weber adherence to the neo-Kantian value concept has made possible a review on the categorical imperatives, which has turned his reading from Kantian philosophy to the proposal of an (...) antinomy between the ethic of conviction and the ethic of responsibility inside the Kantian moral maxims. -/- Nessa abordagem será proposto que a recepção de Max Weber do conceito de “responsabilidade” (Verantwortlichkeit) de Wilhelm Windelband, bem como sua revisão de certos elementos da filosofia dos valores neokantiana do sudoeste da Alemanha, permitiram que Weber estabelecesse um diálogo mais direto com os pressupostos de Kant em sua Crítica da razão prática. Em vista dessas influências, o presente artigo argumentará que a maneira como Weber revisa os imperativos categóricos direcionou sua compreensão da filosofia kantiana pelo conceito de “valores”, o permitindo ainda, propor a existência de uma antinomia entre a ética da convicção e da responsabilidade no interior das máximas morais kantianas. (shrink)

In his influential work on Kant and history, Yirmiyahu Yovel identifies a problem which he terms ‘the historical antinomy.’ The problem states that no possible mediation can take place between the atemporal realm of pure reason and the empirical realm of human history. In this paper, I aim to bridge this gap based on a two-aspect reading of the faculty of reason, and then proceed to show reason’s ability to apply transcendental ideas on empirical history for the sake of grasping (...) a rational idea of history in a single, mediated process. (shrink)

It is shown that Russell's Paradox can be solved without advocating the Theory of Types, and also that the Liar's Paradox can be solved in much the same way. Neither solution requires that any of our commonsense-based beliefs be revised, let alone jettisoned. It is also shown that the Theory of Types is false.

Drawing on a range of sources such as Roman oratory, love elegy, Carmina Priapea and Petronius, the paper claims that the Priapic model of Roman Sexuality entails a particularly vulnerable form of male sexuality which can best be observed in descriptions of young men in the transitional period to manhood, such as, e.g., Achilles in Statius' Achilleis.

Book synopsis: Held every five years under the auspices of the Kant-Gesellschaft, the International Kant Congress is the world’s largest philosophy conference devoted to the work and legacy of a single thinker. The five-volume set Kant and Philosophy in a Cosmopolitan Sense contains the proceedings of the Eleventh International Kant Congress, which took place in Pisa in 2010. The proceedings consist of 25 plenary talks and 341 papers selected by a team of international referees from over 700 submissions. The contributions (...) span 14 sections: Kant’s Concept of Philosophy; Theory of Cognition and Logic; Ontology and Metaphysics; Ethics; Law and Justice; Religion and Theology; Aesthetics; Anthropology and Psychology; Politics and History; Science, Mathematics, and the Philosophy of Nature; Kant and the Leibnizian Tradition; Kant and the Philosophical Tradition; Kant and Schopenhauer; and Kant’s Heritage. Thanks to cooperation from the Schopenhauer Gesellschaft, the 2010 conference was the first in the history of the International Kant Congress to include a session on Kant and Schopenhauer. (shrink)

Throughout history, oppressors have used multiple forms of violence to impose their own logic on the human universe they oppress. One such form is epistemic violence, which is based on the monopoly control of truth and the hijacking of universality. Those who apply this violence seek to convince everyone of the absolute character of their supposed truths, of the quasi-natural universality of their ways of thinking, of living, of organizing socially. Truth and universality are ineludible objects in dispute between conservative (...) and emancipating forces. The scenario of this complaint today reaches global dimensions. Life itself is at stake. It is obvious that, without an undermining of oppressive truths and predatory particularisms dressed-up as universalities, social emancipation is not feasible. It is also not possible to conserve life. Unlimited growth, the permanent trend towards wealth accumulation, the pursuit at all costs of profit, make capital increasingly incompatible with life. False truths, such as the inevitable centrality of the market and the natural character of capitalism, must be dismantled. Following the logical-deductive method, this work aims to speak critically of the truth, but not denying its existence. This work speaks critically of truth, but does not negate its existence. Attempts are made to uncover the social conditions of the possibility of truth. It seeks to describe how truth can and should exist, if it aspires to be free and decolonized within a social paradigm such as Our America. (shrink)

The four volume work of which this book is a part has been praised as one of the great monuments of theoretical scholarship in sociology of the century. The praise has come largely from the older generation of students of Parsons and Merton. A great deal of dispraise has come from Alexander's own generation. Alan Sica's (1983) brilliant, biting review of Volume I speaks for many of Alexander's peers. Volume II is likely to be even more controversial. This volume begins (...) the substantive task of the text, the reinterpretation of the 'theoretical logic' of the classical sociologists, a reinterpretation governed by the intention of transcending the errors and limitations of the 'presuppositional' reasoning of the classical thinkers. For Alexander's sociological audience the second volume is the beginning of what really counts, and Volume II is indeed quite a different affair from the first, 'philosophical' volume: the prose tightens, and the air of getting down to work is palpable. (shrink)

Human mind has undergone a complex evolution throughout the history of our genus, Homo. The brain structures and processes that make this mental activity possible have been the result of a series of evolutionary patterns not only biological but also cultural, so it is possible to assume that consciousness did not emerge with the same characteristics in our predecessors. One of the most distinctive features that reflects the conscious image of the archaic man is the absence of a dualistic interpretation (...) of reality. This apparition stem from our analytical mind as an exaptation, commonly assigned to the activity of the left hemisphere which is attributed to play a greater role in linguistic activity. This paper introduces the idea that, along with other abilities such as linguistic predisposition, spatial perception and pattern recognition, human beings are also born with an innate tendency to interpret and represent the surrounding world in antithetical terms, that is, in antinomies. The idea of Self as an exaptation arises from the cultural development of our species closely influenced by the ripening of our cognitive structures and the evolution of human natural language. This illusory perception of Self also conditions scientific activity, giving birth to a new form of knowledge that attributes a new value judgment to man and life. (shrink)

Kant's theory of transcendental ideas can be conceived as a sort of model theory for an empirical first-order object theory. The main features of Kant's theory of transcendental ideas (especially its antinomies and their solutions) can be recognized, in a modified way, in a religious discourse as exemplified in the dialogue of Jesus and the Samaritan woman (John 4). In this way, what is by Kant meant merely as regulative ideas obtains a sort of objective reality and becomes a (...) religiously founded metaphysics. A metaphysical theory of religious dialogue is formalized on the basis of an extended justification logic of evidence and wish agents. (shrink)

It is commonly held that nature is knowable in itself and that death has no explanatory priority in knowing nature. I reject both claims as they undermine an account of the unity of human life, failing, respectively, to thematize the limitations of finite understanding and to acknowledge what’s most certain about finite existence. I use Kant’s idea of the thing in itself and Heidegger’s idea of death to solve two structurally analogous antinomies these failures leave intact. I conclude that (...) to think these ideas is to represent the telos that unifies our living as, respectively, finite knowers and finite beings. (shrink)

Die von Kant vorgeschlagene Auflösung der Freiheitsantinomie gehört zu denjenigen Theoriestücken, die auch für den transzendentalen Idealismus aufgeschlossene Philosophen schwer zu verteidigen finden. Dies gilt insbesondere für die Lehre von der nichtzeitlichen Verursachung. Nach dieser Doktrin hebt die »Causalität der Vernunft im intelligibelen Charakter […] nicht zu einer gewissen Zeit an, um eine Wirkung hervorzubringen«. In diesem Beitrag wird nicht Kants Auflösung der Freiheitsantinomie im Mittelpunkt stehen, sondern die Frage, wie das Junktim zwischen Freiheitsrettung und transzendentalem Idealismus allererst motiviert ist. (...) Ich werde zunächst eine Reihe von Gründen dafür anführen, dieses Junktim zu lösen. Kant konstruiert in der dritten Antinomie ein idiosynkratisches Vereinbarkeitsproblem, das auf angreifbaren kausalitätstheoretischen und metaphysischen Vorannahmen beruht. In den Abschnitten 3.-5. versuche ich zu zeigen, dass die transzendental-idealistische Auflösung der Freiheitsantinomie nur nötig wird, weil Kant für Freiheit Erstverursachung fordert, die Gesetzesauffassung der Kausalität für einen analytischen Bestandteil des Kausalbegriffs hält, das Kausalprinzip mit dem Determinismusprinzip identifiziert und mit der Auszeichnung des Kausalprinzips als synthetischen Satz a priori zugleich den deterministischen Charakter des »Naturmechanismus« erwiesen zu haben glaubt. Danach werde ich die Frage erörtern, ob die noumenale »Kausalität aus Freiheit « im Sinne von Akteurskausalität bzw. Substanzkausalität rekonstruiert werden kann. Abschließend werde ich tentative Überlegungen dazu anstellen, ob zumindest einige transzendental-idealistische Elemente eine alternative Rolle in der Freiheits- und Handlungstheorie spielen können. (shrink)

Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of (...) categories, dating from the mid-twentieth century, includes a theory of always-self-predicative universals--which can be seen as forming the "other bookend" to the never-self-predicative universals of set theory. The self-predicative universals of category theory show that the problem in the antinomies was not self-predication per se, but negated self-predication. They also provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. (shrink)

In this chapter aimed at undergraduate philosophy students, I provide a brief and simple introduction to Kant's transcendental idealism and explain the argument of his First Antinomy.

This thesis attempts to present a new singular type of paradox called a “Monoletheia”, which itself creates a logical bridge to reconcile two subsequent paradoxes we call “Antinomies” and “Dialetheia”. The consequence follows therefrom, to state that the concept of infinity transcends its own regress of an existential construct to include a non-existent variable (representing void). This is done by applying the theoretical idea of co-existence between constructs and their own negation. -/- The working hypothesis can be summed up (...) in the following proposition: “Existence co-exists with non-existence“, and is expressed mathematically for convenience as “Ex + co-ex w/ X“. For the same purpose, the expression denoting an antinomy is “A*” and “Dt” is used for dialetheia. (shrink)

This essay pertains to Nietzsche's and Spinoza's philosophical/historical relationship, and the hitherto unnoticed role Kant plays as an intermediary for Spinoza's ideas and legacy. We advance two main assertions: 1) that Nietzsche is historically related to Spinoza via Kant's Antinomies of Pure Reason and their legacy, and 2) that both the striking similarities and tremendous differences between these two thinkers are best described with reference to the Antithesis positions of Kant's Antinomies. Our account rests primarily on the works (...) of two other scholars. The first is Omri Boehm, who argues convincingly that a) Spinoza was both the single greatest influence on and primary target of Kant's Antinomies, and b) that Spinoza's position is remarkably similar to the first three Antithesis positions (and no other relevant thinker comes close). The second is Michael Steven Green, who argues with equal force that c) Nietzsche's mature philosophy is heavily dependent upon Afrikan Spir's concept of the "fundamental antinomy," and d) that Nietzsche's view of empirical reality amounts to an "antithetic" view of reality. We demonstrate that these two scholars were, independently of one other, pointing to a single historical/philosophical connection between Nietzsche and Spinoza, and begin an exploration of the ramifications of this discovery. (shrink)

Antinomy basically as an inherent structural tension from within the reason between rational willing toward the unconditioned and rational thinking necessarily conditioned by the rule of understanding plays a negative role in and for Kant's system to critically compass reason in limiting itself within the possibility of real experience. In Husserl, under the banner of one all-encompassing reason, antinomy takes a modified form of an ontological incommensurability between two essentially separable regions of being, i.e., between the ideal and the real; (...) such ontological antinomy now takes up the place of an apriori condition for the possibility of meaning for Husserl. Representing a peculiar hierarchical ontological relation through which a lawful power flows, Husserlian antinomy plays an essentially affirmative-political function. In this paper, I will analyze the constructive antinomic structure of phenomenological being relation in contrast to Kantian restrictive antinomy and discuss its political implication. (shrink)

In the Third Antinomy of the Critique of Pure Reason (1781) [Kritik der reinen Vernunft], Immanuel Kant (1724-1804) associates freedom with infinity. According to the definition given in this book, only an infinite being not subject to causality can be defined as free. However, the fact that a finite being, such as a human, is always subject to the laws of nature implies that they are perpetually bound by causality, which hinders their freedom. Freedom devoid of causality cannot be theoretically (...) justified. Another reason for this is Kant’s assertion in the Second Analogy of Critique of Pure Reason, where he states that everything in the phenomenal world is subject to causality. Accordingly, freedom can be conceived not in the phenomenal world but only in the noumenal world. In the First Critique, freedom, defined as a cause without a cause, a cause without being the result of another cause, later be characterized as negative freedom in the third section of the Groundwork of the Metaphysics of Morals (1785) [Grundlegung zur Metaphysik der Sitten]. Such conceptualization of freedom cannot be determined by any other cause than itself. While there may be a theoretical foundation for accepting such a cause as uncaused, we have moral reasons to believe in it. This moral foundation in question guides us toward the notion of positive freedom. Here, unlike negative freedom, we are subject to moral laws, and as long as we comply with these, we can experience freedom as a finite being. This is because adhering to the laws we set for ourselves enables us to be morally the cause of our own actions. Thus, Kant renders freedom through positive freedom. Following this line of argument, negative freedom appears meaningful to us only within the framework of positive freedom. Jean-Luc Nancy (1940-2021) finds a problematic Kantian account of freedom as an uncaused cause in his book The Experience of Freedom (1988) [L’expérience de la liberté]. Because, according to this perspective, humans are not only subject to the laws of nature but also to moral cause-and-effect relationships with others, they exist at the ix limit of freedom. By this means, considering freedom as a duty imposed on the subject leads to ambiguous analyses such as negative/positive freedom in Kantian philosophyーIn post-Kantian philosophy, the ambiguity persists until Friedrich Wilhelm Joseph Schelling (1775-1854)1 , who finds the solution by negating freedom. Therefore, according to Nancy, freedom should be considered not as a Kantian Idea but through its relationship with human finitude and experience. Thus, through the criticism directed at Kant in Martin Heidegger’s (1889-1976) Kant and the Problem of Metaphysics (1929) [Kant und das Problem der Metaphysik], Nancy attempts to resolve the confusion created by the concept of freedom, which despite being associated with infinity in Kant, is made possible in the practical world through respect for the moral law. In this direction, Nancy finds the solution in the freedom that becomes conceptually elusive, transforming it into an act that goes beyond being a mere duty and which permeates all our experiences. In this book, Nancy introduces the initial stages of “community” and “singularity” concepts, which he would later develop further. For this, he begins the book's introductory section by emphasizing Martin Heidegger’s statement in §9 of Being and Time (1927) [Sein und Zeit], where “freedom” is mentioned as another name for existence. As a justification, he refers to the concept of Da-sein [being-there] and states that every being [être] is a being-in-common [être-en-commun], and freedom should be thought of through this. Namely, the problem of freedom is approached not as a political or ethical issue but as an ontological matter. Within the framework of beingin-common, this situation transforms into an ontological “generosity [générosité ontologique].” -/- 1 Philosophical Investigations into the Essence of Human Freedom [Philosophische Untersuchungen über das Wesen der menschlichen Freiheit und die damit zusammenhängenden Gegenstände], Schelling, approaches freedom not through infinity but rather through finitude. While Heidegger and Nancy pursue different paths, they both adhere to the idea of finitude freedom in Schelling. x Despite primarily emphasizing Heidegger’s thought in writing this text as his aggrégation thesis, Jean-Luc Nancy desires to transcend it and maintain a certain distance. This transcendence and distancing include authors from the French Phenomenological tradition, such as Georges Bataille (1897-1962), Maurice Blanchot (1907-2003), and Jean-François Lyotard (1924-1998), and also incorporate the emphasis from Hannah Arendt (1906-1975) that death cannot be thought of independently of life. Referencing many philosophers from the continental philosophy tradition and developing a thematic reading through freedom, this bookーlike Nancy’s other worksーseeks ways to experience philosophy and thought freely in this own writing experience. So much so that this book, unlike Nancy’s other works like The Inoperative Community (1986) [La communauté désoeuvrée] ve Being Singular Plural (1996) [Être Singulier Pluriel], which is not widely discussed in secondary sources, is challenging to follow. Therefore, in examining this book as my Master’s research thesis and addressing the idea of freedom in Nancy, I found it appropriate to adopt a close reading method. Certainly, this research should not be considered independent of works such as The Discourse of Syncope (1976) [Le discours de la syncope], The Categorical Imperative (1983) [L’impératif catégorique], as they serve as examples of while engaging in philosophy, how Nancy refers and relates to the works within the philosophical tradition. (shrink)

l. There is an antinomy in Hare's thought between Ought-Implies-Can and No-Indicatives-from-Imperatives. It cannot be resolved by drawing a distinction between implication and entailment. 2. Luther resolved this antinomy in the l6th century, but to understand his solution, we need to understand his problem. He thought the necessity of Divine foreknowledge removed contingency from human acts, thus making it impossible for sinners to do otherwise than sin. 3. Erasmus objected (on behalf of Free Will) that this violates Ought-Implies-Can which he (...) supported with Hare-style ordinary language arguments. 4. Luther a) pointed out the antinomy and b) resolved it by undermining the prescriptivist arguments for Ought-Implies-Can. 5. We can reinforce Luther's argument with an example due to David Lewis. 6. Whatever its merits as a moral principle, Ought-Implies-Can is not a logical truth and should not be included in deontic logics. Most deontic logics, and maybe the discipline itself, should therefore be abandoned. 7. Could it be that Ought-Conversationally-Implies-Can? Yes - in some contexts. But a) even if these contexts are central to the evolution of Ought, the implication is not built into the semantics of the word; b) nor is the parallel implication built into the semantics of orders; and c) in some cases Ought conversationally implies Can, only because Ought-Implies-Can is a background moral belief. d) Points a) and b) suggest a criticism of prescriptivism - that Oughts do not entail imperatives but that the relation is one of conversational implicature. 8. If Ought-Implies-Can is treated as a moral principle, Erasmus' argument for Free Will can be revived (given his Christian assumptions). But it does not 'prove' Pelagianism as Luther supposed. A semi-Pelagian alternative is available. (shrink)

This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed (...) reform program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. (shrink)

In “Models and Reality” (1980), Putnam sketched a version of his internal realism as it might arise in the philosophy of mathematics. Here, I will develop that sketch. By combining Putnam’s model-theoretic arguments with Dummett’s reflections on Gödelian incompleteness, we arrive at (what I call) the Skolem-Gödel Antinomy. In brief: our mathematical concepts are perfectly precise; however, these perfectly precise mathematical concepts are manifested and acquired via a formal theory, which is understood in terms of a computable system of proof, (...) and hence is incomplete. Whilst this might initially seem strange, I show how internal categoricity results for arithmetic and set theory allow us to face up to this Antinomy. This also allows us to understand why “Models are not lost noumenal waifs looking for someone to name them,” but “constructions within our theory itself,” with “names from birth.”. (shrink)

The use of “levels of abstraction” in philosophical analysis (levelism) has recently come under attack. In this paper, I argue that a refined version of epistemological levelism should be retained as a fundamental method, called the method of levels of abstraction. After a brief introduction, in section “Some Definitions and Preliminary Examples” the nature and applicability of the epistemological method of levels of abstraction is clarified. In section “A Classic Application of the Method ofion”, the philosophical fruitfulness of the new (...) method is shown by using Kant’s classic discussion of the “antinomies of pure reason” as an example. In section “The Philosophy of the Method of Abstraction”, the method is further specified and supported by distinguishing it from three other forms of “levelism”: (i) levels of organisation; (ii) levels of explanation and (iii) conceptual schemes. In that context, the problems of relativism and antirealism are also briefly addressed. The conclusion discusses some of the work that lies ahead, two potential limitations of the method and some results that have already been obtained by applying the method to some long-standing philosophical problems. (shrink)