A common reaction to Hegel’s suggestion that we collapse Kant’s distinction between form and content is that, since such a move would also deprive us of any way of distinguishing the merely logical from the real possibility of our concepts, it is incoherent and ought to be rejected. It is true that these two distinctions are intimately related in Kant, such that if one goes, the other does as well. But it is less obvious that giving them up as (...) Kant conceives them is as incoherent a proposal as many of Hegel’s critics think. It has been the point of a recent account of Hegel’s idealism to demonstrate that his critique of Kant’s dichotomy between form and content or concept and intuition does not commit him to the view that human cognition is materially creative of its content in the manner of a God-like or intuitive intellect—does not, in other words, signify a return to a pre-Critical metaphysics. This is the interpretative stance I adopt here as well, in hope of giving defenders of Kant reasons for taking Hegel more seriously. (shrink)

This chapter contains sections titled: The Critique of Ontology and Transcendental Realism Transcendental Illusion Transcendental Illusion and Transcendental Realism in the Antinomy of Pure Reason The Antinomial Conflicts The Regulative Use of Reason.

This paper presents hitherto unpublished writings of Kurt Gödel concerning logical, epistemological, theological, and physical antinomies, which he generally considered as “the most interesting facts in modern logic,” and which he used as a basis for his famous metamathematical results. After investigating different perspectives on the notion of the logical structure of the antinomies and presenting two “antinomies of the intensional,” a new kind of paradox closely related to Gödel’s ontological proof for the existence of God is introduced (...) and completed by a compilation of further theological antinomies. Finally, after a presentation of unpublished general philosophical remarks concerning the antinomies, Gödel’s type-theoretic variant of Leibniz’Monadology, discovered in his notes on the foundations of quantum mechanics, is examined. Most of the material presented here has been transcribed from the Gabelsberger shorthand system for the first time. (shrink)

A common reaction to Hegel’s suggestion that we collapse Kant’s distinction between form and content is that, since such a move would also deprive us of any way of distinguishing the merely logical from the real possibility of our concepts, it is incoherent and ought to be rejected. It is true that these two distinctions are intimately related in Kant, such that if one goes, the other does as well. But it is less obvious that giving them up as (...) Kant conceives them is as incoherent a proposal as many of Hegel’s critics think. It has been the point of a recent account of Hegel’s idealism to demonstrate that his critique of Kant’s dichotomy between form and content or concept and intuition does not commit him to the view that human cognition is materially creative of its content in the manner of a God-like or intuitive intellect—does not, in other words, signify a return to a pre-Critical metaphysics. This is the interpretative stance I adopt here as well, in hope of giving defenders of Kant reasons for taking Hegel more seriously. (shrink)

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 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)

The critique of modernity was one of the important themes in philosophy in the 20th century. Theorists focused on the spiritual characteristics of modernity by which they tried to find a solution to the crisis of modernity, a solution beyond economics and politics. György Márkus, one of the members of the Budapest School, focused on the culture of modernity for 30 years. He presented a critical theory of modern culture. His theory had a clear logic and offered a compelling view. (...) At the core of his theory of cultural modernity was the idea of the ‘antinomies of culture’. These antinomies are of vital importance since the struggle and tension between the poles of culture provides, on his view, the energies and orientation required for the development of cultural modernity. In this essay, I will try to analyse the reality of cultural modernity in China employing Márkus’s ideas and evaluating the significance of his theory. (shrink)

This volume documents for the first time the enormous variety of diverging interpretations and presents a text-oriented analysis of antinomy and its resolution ...

Based on an analysis of the category of “infinite judgments” in Kant, we will introduce the logical hexagon of predicate negation. This hexagon allows us to visualize in a single diagram the general structure of both Kant’s solution of the antinomies of pure reason and his argument in favor of Transcendental Idealism.

La philosophie pense non seulement en délivrant des pensées, mais en réfléchissant sur les manières de penser. Ce livre concerne deux manières de penser tantôt combinées, tantôt séparées : la dialectique et l'antinomie. Il étudie la dialectique de Hegel, en son unicité et sa radicalité, mais rappelle aussi ses origines, expose sa critique et considère sa régression à l'antinomie ou encore son fantasme qui ne cesse de hanter la philosophie. Ce débat mobilise, outre Aristote et Platon, Kierkegaard, Nietzsche, Benjamin, Lyotard, (...) Marx, Peirce et quelques autres ; il se prolonge dans l'examen de la figure du chiasme et débouche sur l'esquisse d'une dissertation sur le comment de la pensée. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:25. HUME'S ANTINOMIES I There are many contradictions in Hume. So much is readily admitted by all Hume scholars. But there is little agreement on what these contradictions show about Hume's thought in general. Many interpretations are based upon the view that Hume's contradictions are signs of his carelessness or lack of thoroughness. He is seen either as having lost all interest in giving a comprehensive or consistent account (...) of human nature or as not having pushed far enough his analysis of the philosophical problems facing him. Other interpretations suggest that Hume, the "skeptic," has recklessly introduced these contradictions in order to confuse us. He is perhaps not altogether serious and is laughing at those who take too serious a view of the "science" of metaphysics and his own contribution 2 to it. Others again argue that the contradictions (or some fundamental class of them) are the consequence of Hume's philosophical presuppositions or his psychological method. Given his particular beliefs and his method, these contradictions had to arise with logical necessity. However, the general opinion seems to be that, if Hume is not to be dismissed as a merely negative skeptic whose philosophy is of no great consequence, he needs to be excused or defended, i.e. his contradictions, which are 4 seen as "inconsistencies," have to be explained away. His discussions of the self, causality, substance, or the relationship of reason and the passions must be, and — it is believed — can be shown not to be contradictory, if all the relevant factors are considered. However, reconstructions of Hume's analysis of the self or causality, for instance, which involve the explaining away of contradictions soon find themselves in a rather peculiar quandary, since they also have to show that Hume's own admissions of the contradictory nature of his analysis is mistaken. Such "defenses" issue only in other 26. accusations, namely that Hume, in addition to not having expressed himself very clearly in his writings, failed to understand them himself when he referred back to them. If only for this reason, I think that interpretations which involve an explaining away or minimizing of the contradictions in Hume are suspect. It is my opinion that Hume needs no such defenses or excuses -- at least not in so far as the most important contradictions are concerned. On the contrary, I believe that Hume can be understood properly, only if we take full account of them. I want in this paper to argue that there is in Hume a fundamental class of contradictions which he believed were neither accidental nor created by his analysis, but were essential characteristics of the human mind. The contradictions uncovered by his analysis can be understood only if they are recognised as one aspect of a more complex problematic. They must have a "deeper" significance for Hume because they are the symptoms of the infirmities... which are common to human nature (T265). These are 'Hume's 7 "antinomies. " In this analysis I have allowed myself to be guided by a more or less Kantian conception of "antinomy" and "antinomical." In fact, I believe that there is a definite similarity between Kant's doctrine of the "Antinomy of Pure Reason" and Hume's "operations" which are equally natural and necessary in the human mind, yet in some circumstances... directly contrary (T266). But the present paper is not so much a sustained comparison of Hume and Kant in this regard as it is an attempt to elucidate the g peculiar nature of several contradictions in Hume. For I believe that, if we have a better understanding of the nature of these contradictions, we will also be able to say something more definite about Hume's theory of mental activity and certain aspects of the relationship of skepticism and naturalism (or: Pyrrhonism and Newtonianism, destructive and constructive side, negative and positive phase, etc.) in his thought. To this end, I shall first 27. explain what I mean by "antinomy" here. Secondly, I shall show in what sense Hume was aware of having discovered something very much like an antinomical dimension in human nature, and, finally, I shall offer some suggestions as to the relevance of this... (shrink)

In this study we present some contributions of the logician and philosopher Petre Botezatu (27.02.1911-01.12.1981), who turned the idea of complementarity,formulated by Niels Bohr for the interpretation of the wave-particle structure of the quantum world, into an ordering principle of his work. Thus, he understood general logic as a synthesis in which the style of classical logic is complementary to the style of the 20th century logic. He didn’t give up either the mathematical modelling of logical language or the (...) conceptual description through natural language. Thus, natural operational logic was created. Then Petre Botezatu assessed the achievements and failures of deduction in order to build the notion of methodological antinomy, and formulated five antinomies of axiomatization and five antinomies of formalization. The main purpose of this study is to present and interpret them. (shrink)

I reconstruct Lukács’s immanent critique of German Idealism, found within his essay ‘Reification and the Consciousness of the Proletariat’, in order to foreground his philosophical reflection on the concepts of mediation, logic, genesis and praxis. I situate this reflection within his philosophy of praxis as a whole before highlighting the dialectical development of these terms within it. They are posited initially as abstract, methodological demands and are subsequently concretised and enriched, via Lukács’s critical evaluation of the antinomies he discovers in (...) Kant, Fichte, Schelling and Hegel. My reconstruction is both exegetical and critical. I demonstrate that Lukács’s concept of praxis is explicitly intended to both bear the weight of Hegel’s Absolute and overcome it. On this basis, I propose a novel immanent critique of Lukács’s philosophy of praxis, suggesting that while Lukács wishes his concept of praxis to express a living, present and ontologically novel truth, his insight is won – in the fashion of Hegelian philosophy – after the historical event upon which it is built, as a philosophical reflection. Lukács’s self-contradiction is that while he regards his philosophy of praxis as having overcome speculative, Hegelian philosophy, in fact, the position he generates remains firmly but unconsciously within it. Consequently, Lukács’s philosophy of praxis possesses a theological dimension and must be regarded as an example of the kind of ‘conceptual mythology’ he sought to overcome. (shrink)

This paper is a reflection on the legitimacy of commonly accepted opposition of the notions of “capitalism” and “socialism”. The leading thesis is that although they can be considered as antinomies, their real referents should not be treated analogously. Capitalism, as understood by its very name, emerged in the second half of the 19th century and evolved constantly from this moment, often changing its main features. Socialism, in contrast, was created as a notion opposing the capitalistic reality of the 19th (...) century. Yet it never really existed in this form. The actual economic system, referred to as “socialism”, was in fact a hybrid of capitalism and neo-feudal bureaucracy. (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)

This work investigates some of the most important logical limits of scientific knowledge. We argue that scientific knowledge is based on different logicalforms and paradigms. The logical forms, which represent the rational structure of scientific knowledge, show their limits through logical antinomies. The paradigms, which represent the scientific points of view on the world, show their limits through the theoretical anomalies. When these limits arise in science and when scientists become fully and deeply aware of them, they (...) can determine logical or paradigmatic revolutions. These are different in their respective courses, although the logical forms and the paradigms are parts of the same type of knowledge. In the end, science can avoid or can integrate its different limits. In fact, the limits of science can become new opportunities for its growth and development. (shrink)

Pavel Florensky (1882–1937), a Russian theologian, philosopher, and mathematician, argued that the religious discourse is essentially contradictory and put forward the idea of the logical theory of antinomies. Recently his views raised interesting discussions among logicians who consider him a forerunner of many non-classical logics. In this paper I discuss four interpretations of Florensky’s views: paraconsistent, L-contradictory, non-monotonic and rhetorical. In conclusion I argue for the integral interpretation which unites these four approaches.

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)

Freud’s fascination with the ruins of ancient Rome was an element in the formation and development of psychology. This article concerns the intersection of psychoanalysis with archaeology and history in the study of that city. Its substantive content is an analysis of the life and career of Andrea Carandini, the best-known Roman archaeologist of the past 40 years. He has said and written much about his changing views of himself and about what he is trying to do in his approach (...) to the recuperation of the Roman past. His scholarly publications and autobiographical testimonies are at the core of this article. After an early commitment to Marxism that ended in disenchantment and a crisis in his personal life, Carandini spent a decade undergoing psychoanalysis with the Chilean-born expatriate Ignacio Matte-Blanco. The latter gained a following as a theorist who built upon Freud’s ideas about the unconscious by producing a set of mathematically inspired concepts concerning the workings of temporality in human history in which emotional intuition took priority over the rational(izing) logic of empiricism. Much influenced by his psychoanalyst, Carandini developed a highly personal approach to the writing of archaeology and history. These writings are explored here in terms of Roman historiography, and in the wider arena of formulations of how the past is to be addressed and written about. (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.