Results for 'totality, identification, self-identificlttion, sets, paradox, set theory paradox, Barber paradox, Russell, Russell's Paradox, Vicious Circle Principle, Kant's antinomies'

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  1.  66
    Reification Fallacies and Inappropriate Totalities.Nicolas Maudet & Nicholas Rescher - 2000 - Informal Logic 20 (1).
    As Russell's paradox of "the set of all sets that do not contain themselves" indicated long ago, matters go seriously amiss if one operates an ontology of unrestricted totalization. Some sort of restriction must be placed on such items as "the set of all sets that have the feature F' or "the conjunction of all truths that have the feature G." But generally, logicians here introduce such formalized and complex devices as the theory of types or the doctrine (...)
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  2.  31
    Is Russell's vicious circle principle false or meaningless?L. E. Fletschhacker - 1979 - Dialectica 33 (1):23-35.
    SummaryP. Vardy asserts the thesis that the vicious circle principle has the same structure as Russell's paradox. But structure is not the thing itself. It is the thing objectivated from the wiewpoint of a mathematician. So this structure can be expressed in a mathematical formalism, e. g. the Λ‐calculus. Russell's paradox is understood as a result of the error of taking purely logical concepts, like negation, as lkiewise formalisable without change of meaning. The illusion of meaning (...)
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  3. If Logic, Definitions and the Vicious Circle Principle.Jaakko Hintikka - 2012 - Journal of Philosophical Logic 41 (2):505-517.
    In a definition (∀ x )(( x є r )↔D[ x ]) of the set r, the definiens D[ x ] must not depend on the definiendum r . This implies that all quantifiers in D[ x ] are independent of r and of (∀ x ). This cannot be implemented in the traditional first-order logic, but can be expressed in IF logic. Violations of such independence requirements are what created the typical paradoxes of set theory. Poincaré’s Vicious (...)
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  4.  15
    (1 other version)Paradigms and Self-reference: What Is the Point of Asserting Paradoxical Sentences?Jakub Mácha - 2019 - In A. C. Grayling, Shyam Wuppuluri, Christopher Norris, Nikolay Milkov, Oskari Kuusela, Danièle Moyal-Sharrock, Beth Savickey, Jonathan Beale, Duncan Pritchard, Annalisa Coliva, Jakub Mácha, David R. Cerbone, Paul Horwich, Michael Nedo, Gregory Landini, Pascal Zambito, Yoshihiro Maruyama, Chon Tejedor, Susan G. Sterrett, Carlo Penco, Susan Edwards-Mckie, Lars Hertzberg, Edward Witherspoon, Michel ter Hark, Paul F. Snowdon, Rupert Read, Nana Last, Ilse Somavilla & Freeman Dyson, Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein’s Philosophy. Springer Verlag. pp. 123-134.
    A paradox, according to Wittgenstein, is something surprising that is taken out of its context. Thus, one way of dealing with paradoxical sentences is to imagine the missing context of use. Wittgenstein formulates what I call the paradigm paradox: ‘one sentence can never describe the paradigm in another, unless it ceases to be a paradigm.’ There are several instances of this paradox scattered throughout Wittgenstein’s writings. I argue that this paradox is structurally equivalent to Russell’s paradox. The above quotation is (...)
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  5. Paradigms and self-reference: what is the point of asserting paradoxical sentences?Jakub Mácha - 2019 - In Newton Da Costa & Shyam Wuppuluri, Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein's Philosophy. Springer Verlag. pp. 123-134.
    A paradox, according to Wittgenstein, is something surprising that is taken out of its context. Thus, one way of dealing with paradoxical sentences is to imagine the missing context of use. Wittgenstein formulates what I call the paradigm paradox: ‘one sentence can never describe the paradigm in another, unless it ceases to be a paradigm.’ (PG, p.346) There are several instances of this paradox scattered throughout Wittgenstein’s writings. I argue that this paradox is structurally equivalent to Russell’s paradox. The above (...)
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  6.  41
    On russell’s arguments for restricting modes of specification and domains of quantification.Bernhard Weiss - 1994 - History and Philosophy of Logic 15 (2):173-188.
    Russell takes his paper ?On denoting? to have achieved the repudiation of the theory of denoting concepts and Frege?s theory of sense, and the invention of the notion of incomplete symbols.This means that Russell attempts to solve the set theoretic and semantic paradoxes without making use of a theory of sense.Instead, his strategy is to revise his logical ontology by arguing that certain symbols should be treated as incomplete.In constructing such arguments Russell, at various points, makes use (...)
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  7. Teaching & learning guide for: Some questions in Hume's aesthetics.Christopher Williams - 2009 - Philosophy Compass 4 (1):292-295.
    David Hume's relatively short essay 'Of the Standard of Taste' deals with some of the most difficult issues in aesthetic theory. Apart from giving a few pregnant remarks, near the end of his discussion, on the role of morality in aesthetic evaluation, Hume tries to reconcile the idea that tastes are subjective (in the sense of not being answerable to the facts) with the idea that some objects of taste are better than others. 'Tastes', in this context, are the (...)
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  8.  75
    On the Physiological Generation of Antinomies and Paradoxes.Carlos Acosta - 2012 - Mind and Matter 10 (1):75 - 114.
    It is proposed that subconscious retro-predictions in conjunction with brain state update cycles are instrumental in the physiological generation of conscious sensations and perceptions, and in all abstract thought. In this paper the hypothesis is supported by conducting a detailed a re-evaluation of the self-referential statements in Set Theory and Formal Logic known as antinomies. This study concludes that the recursive behavior exhibited by abstract enigmas such as "Russell’s Paradox" is analogous to the oscillations typical of bistable (...)
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  9.  75
    Russell, Presupposition, and the Vicious-Circle Principle.Darryl Jung - 1999 - Notre Dame Journal of Formal Logic 40 (1):55-80.
    Prompted by Poincaré, Russell put forward his celebrated vicious-circle principle (vcp) as the solution to the modern paradoxes. Ramsey, Gödel, and Quine, among others, have raised two salient objections against Russell's vcp. First, Gödel has claimed that Russell's various renderings of the vcp really express distinct principles and thus, distinct solutions to the paradoxes, a claim that gainsays one of Russell's positions on the nature of the solution to the paradoxes, namely, that such a solution (...)
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  10.  98
    Russell and the vicious circle principle.Philippe Rouilhan - 1992 - Philosophical Studies 65 (1-2):169 - 182.
    The standard version of the story of Russell's theory of types gives legitimately precedence to the vicious circle principle, but it fails to appreciate the significance of the doctrine of incomplete symbols and of the ultimate universalist perspective of Russell's logic. It is what the Author tries to do. This enables him to resolve the apparent contradiction which exists in "Principles" between the ontological commitment of the theory itself with respect to individuals, propositions, and (...)
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  11.  27
    Yablo’s Paradox and Russellian Propositions.Gregory Landini - 2008 - Russell: The Journal of Bertrand Russell Studies 28 (2):127-142.
    In lieu of an abstract, here is a brief excerpt of the content:January 22, 2009 (8:41 pm) G:\WPData\TYPE2802\russell 28,2 048red.wpd russell: the Journal of Bertrand Russell Studies n.s. 28 (winter 2008–09): 127–42 The Bertrand Russell Research Centre, McMaster U. issn 0036-01631; online 1913-8032 YABLO’S PARADOX AND RUSSELLIAN PROPOSITIONS Gregory Landini Philosophy / U. of Iowa Iowa City, ia 52242–1408, usa gregory-landini@uiowa.edu Is self-reference necessary for the production of Liar paradoxes? Yablo has given an argument that self-reference is not (...)
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  12.  40
    A semantical account of the vicious circle principle.Philip Hugly & Charles Sayward - 1979 - Notre Dame Journal of Formal Logic 20 (3):595-598.
    Here we give a semantical account of propositional quantification that is intended to formally represent Russell’s view that one cannot express a proposition about "all" propositions. According to the account the authors give, Russell’s view bears an interesting relation to the view that there are no sets which are members of themselves.
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  13. The Cost of Discarding Intuition – Russell’s Paradox as Kantian Antinomy.Christian Onof - 2013 - In Stefano Bacin, Alfredo Ferrarin, Claudio La Rocca & Margit Ruffing, Kant und die Philosophie in weltbürgerlicher Absicht. Akten des XI. Internationalen Kant-Kongresses. Boston: de Gruyter. pp. 171-184.
    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 (...)
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  14. Meillassoux’s Virtual Future.Graham Harman - 2011 - Continent 1 (2):78-91.
    continent. 1.2 (2011): 78-91. This article consists of three parts. First, I will review the major themes of Quentin Meillassoux’s After Finitude . Since some of my readers will have read this book and others not, I will try to strike a balance between clear summary and fresh critique. Second, I discuss an unpublished book by Meillassoux unfamiliar to all readers of this article, except those scant few that may have gone digging in the microfilm archives of the École normale (...)
     
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  15.  39
    The import of hypodoxes for the Liar and Russell’s paradoxes.Peter Eldridge-Smith - 2023 - Synthese 202 (4):1-28.
    Is the set of all self-membered sets, S, a member of itself? In naive set theory, this is Russell’s hypodox. By the Laws of Excluded Middle and Non-contradiction, S is a member of itself xor it is not, but no principle of classical logic or naive set theory determines which. (Herein, ‘xor’ extends English with a specifically exclusive disjunction.) As a hypodox, the Truth-teller is a sentence that says of itself simply that it is true; by the (...)
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  16.  92
    Breve storia dell'etica.Sergio Cremaschi - 2012 - Roma RM, Italia: Carocci.
    The book reconstructs the history of Western ethics. The approach chosen focuses the endless dialectic of moral codes, or different kinds of ethos, moral doctrines that are preached in order to bring about a reform of existing ethos, and ethical theories that have taken shape in the context of controversies about the ethos and moral doctrines as means of justifying or reforming moral doctrines. Such dialectic is what is meant here by the phrase ‘moral traditions’, taken as a name for (...)
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  17.  98
    Russell's paradox of the totality of propositions.Nino B. Cocchiarella - 2000 - Nordic Journal of Philosophical Logic 5 (1):25-37.
    Russell's "new contradiction" about "the totality of propositions" has been connected with a number of modal paradoxes. M. Oksanen has recently shown how these modal paradoxes are resolved in the set theory NFU. Russell's paradox of the totality of propositions was left unexplained, however. We reconstruct Russell's argument and explain how it is resolved in two intensional logics that are equiconsistent with NFU. We also show how different notions of possible worlds are represented in these intensional (...)
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  18.  25
    Some Remarks on the Relationship between Russell's* ViciousCircle Principle and Russell's Paradox.P. Vatrdy & L. Fleischhacker - 1979 - Dialectica 33 (1):3-19.
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  19. Russell's paradox.Kevin C. Klement - 2001 - Internet Encyclopedia of Philosophy.
    Russell's paradox represents either of two interrelated logical antinomies. The most commonly discussed form is a contradiction arising in the logic of sets or classes. Some classes (or sets) seem to be members of themselves, while some do not. The class of all classes is itself a class, and so it seems to be in itself. The null or empty class, however, must not be a member of itself. However, suppose that we can form a class of all (...)
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  20. (1 other version)Curry's revenge: the costs of non-classical solutions to the paradoxes of self-reference.Greg Restall - 2007 - In J. C. Beall, The Revenge of the Liar: New Essays on the Paradox. Oxford, England: Oxford University Press UK.
    The paradoxes of self-reference are genuinely paradoxical. The liar paradox, Russell’s paradox and their cousins pose enormous difficulties to anyone who seeks to give a comprehensive theory of semantics, or of sets, or of any other domain which allows a modicum of self-reference and a modest number of logical principles. One approach to the paradoxes of self-reference takes these paradoxes as motivating a non-classical theory of logical consequence. Similar logical principles are used in each of (...)
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  21.  29
    Interpretation in Legal Theory.Andrei Marmor (ed.) - 1990 - Hart Publishing.
    Chapter 1: An Introduction: The ‘Semantic Sting’ Argument Describes Dworkin’s theory as concerning the conditions of legal validity. “A legal system is a system of norms. Validity is a logical property of norms in a way akin to that in which truth is a logical property of propositions. A statement about the law is true if and only if the norm it purports to describe is a valid legal norm…It follows that there must be certain conditions which render certain (...)
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  22.  13
    Kant’s Philosophy and the Idea of the Self-Made-Man.O. M. Korkh & V. V. Khmil - 2024 - Anthropological Measurements of Philosophical Research 25:124-132.
    _Purpose._ The authors of this article set the main purpose of understanding the ideological potential of Kant’s philosophical heritage from the viewpoint of its influence on the spread and legitimization of the self-made man idea in the worldview transformations of the modern world. _Theoretical basis._ Historical, analytical, and hermeneutic methods became fundamental for achieving the goal. The study is based on Kant’s works, as well as on the works of modern researchers of his ideological heritage. _Originality._ The analysis shows (...)
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  23. Mad Speculation and Absolute Inhumanism: Lovecraft, Ligotti, and the Weirding of Philosophy.Ben Woodard - 2011 - Continent 1 (1):3-13.
    continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has (...)
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  24. Objective Knowledge and Self-Consciousness: The Role of Kant's Theory of Apperceptive Self-Identity in the "Critique of Pure Reason".Dennis J. Sweet - 1989 - Dissertation, The University of Iowa
    Kant's purpose in the Critique of Pure Reason was to describe the nature and set the boundaries of human knowledge. At the heart of this ambitious enterprise is his doctrine of apperceptive self-identity. He insists that in order for us to know anything, there must be a unitary self capable of being aware of its own identity over time. Unfortunately, Kant's descriptions of this unitary 'I think' are extremely obscure, and his accounts of how it functions (...)
     
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  25. Review of: Garciadiego, A., "Emergence of...paradoxes...set theory", Historia Mathematica (1985), in Mathematical Reviews 87j:01035.John Corcoran - 1987 - MATHEMATICAL REVIEWS 87 (J):01035.
    DEFINING OUR TERMS A “paradox" is an argumentation that appears to deduce a conclusion believed to be false from premises believed to be true. An “inconsistency proof for a theory" is an argumentation that actually deduces a negation of a theorem of the theory from premises that are all theorems of the theory. An “indirect proof of the negation of a hypothesis" is an argumentation that actually deduces a conclusion known to be false from the hypothesis alone (...)
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  26. Sets and Plural Comprehension.Keith Hossack - 2014 - Journal of Philosophical Logic 43 (2-3):517-539.
    The state of affairs of some things falling under a predicate is supposedly a single entity that collects these things as its constituents. But whether we think of a state of affairs as a fact, a proposition or a possibility, problems will arise if we adopt a plural logic. For plural logic says that any plurality include themselves, so whenever there are some things, the state of affairs of their plural self-inclusion should be a single thing that collects them (...)
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  27.  9
    A Theory of Basic Goods: Structure and Hierarchy.James G. Hanink - 1988 - The Thomist 52 (2):221-245.
    In lieu of an abstract, here is a brief excerpt of the content:A THEORY OF BASIC GOODS: STRUCTURE AND HIERARCHY* I. FTEN, PERHAPS ALWAYS, moral theory emerges from particular problems. Just how is obscure. The logic of discovery is elusive; and it is harder to explain how we have come to see matters rightly than to recognize that we do, in fact, see them rightly. What counts as a theory, moreover, calls for explication as much as does (...)
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  28.  39
    The Aporias of the Vicious Circle in A Political Beginning: Reflections on H. Arendt’s Thoughts on the Foundation of a Polity.Zhang Yan & Gao Song - 2018 - Problemos 94:122.
    [full article, abstract in English; abstract in Lithuanian] Modern revolution as the beginning of founding a new political order has to confront the vicious circle inhered in all beginnings: in so far as it is the beginning, where does its principle come from? Or, if there is no principle, how could the beginning establish one? Set in the context of modern political experience, the aporia is equal to the problem of how modern politics to be self-grounded or (...)
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  29.  47
    Kant's Second Antinomy, Leibniz, and Whitehead.Ivor Leclerc - 1966 - Review of Metaphysics 20 (1):25 - 41.
    This set of problems first came to light with the Eleatic criticism of Pythagorean theory, and dramatically revealed their importance in the paradoxes of Zeno, which have retained their relevance down the ages, and play a significant role, as we shall see, in the thought of Whitehead. In antiquity Aristotle had attained the clearest realization of these problems. It was in terms of them that he analyzed and rejected the theory of Leukippos and Demokritos of atoms and the (...)
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  30. Russell-Myhill paradox.Kevin C. Klement - 2003 - Internet Encyclopedia of Philosophy.
    The Russell-Myhill Antinomy, also known as the Principles of Mathematics Appendix B Paradox, is a contradiction that arises in the logical treatment of classes and "propositions", where "propositions" are understood as mind-independent and language-independent logical objects. If propositions are treated as objectively existing objects, then they can be members of classes. But propositions can also be about classes, including classes of propositions. Indeed, for each class of propositions, there is a proposition stating that all propositions in that class are true. (...)
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  31. Objects as Temporary Autonomous Zones.Tim Morton - 2011 - Continent 1 (3):149-155.
    continent. 1.3 (2011): 149-155. The world is teeming. Anything can happen. John Cage, “Silence” 1 Autonomy means that although something is part of something else, or related to it in some way, it has its own “law” or “tendency” (Greek, nomos ). In their book on life sciences, Medawar and Medawar state, “Organs and tissues…are composed of cells which…have a high measure of autonomy.”2 Autonomy also has ethical and political valences. De Grazia writes, “In Kant's enormously influential moral philosophy, (...)
     
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  32. Naïve set theory is innocent!A. Weir - 1998 - Mind 107 (428):763-798.
    Naive set theory, as found in Frege and Russell, is almost universally believed to have been shown to be false by the set-theoretic paradoxes. The standard response has been to rank sets into one or other hierarchy. However it is extremely difficult to characterise the nature of any such hierarchy without falling into antinomies as severe as the set-theoretic paradoxes themselves. Various attempts to surmount this problem are examined and criticised. It is argued that the rejection of naive (...)
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  33.  75
    The Resolution of Hume’s Problem, and New Russellian Antinomies of Induction, Determinism, Relativism, and Skepticism.Gerard T. Ferrari - 1986 - Philosophy Research Archives 12:471-517.
    A necessary refinement of the concept of circular reasoning is applied to the self-and-universally-referential inductive justification of induction. It is noted that the assumption necessary for the circular proof of a principle of induction is that one inference is valid, not that the entire principle or rule of induction governing that inference is true. The circularity in an ideal case is demonstrated to have a value of lin where n represents the number of inferences asserted valid by the conclusion (...)
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  34.  84
    Self-Organization: Kant's Concept of Teleology and Modern Chemistry.Alicia Juarrero Roqué - 1985 - Review of Metaphysics 39 (1):107 - 135.
    AS IS WELL KNOWN, one of Kant's major concerns was the reconciliation of Newtonian science and metaphysics, a preoccupation made particularly acute by the need to provide a satisfactory explanation of organisms. It is in light of his claim that only the mechanistic principles of Newton's physics can provide scientific knowledge that the role to be played by purposiveness becomes problematic. Purpose appears to resist mechanistic explanation and is therefore a major impediment to unifying science under one set of (...)
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  35.  74
    The Hidden Set-Theoretical Paradox of the Tractatus.Jing Li - 2018 - Philosophia 46 (1):159-164.
    We are familiar with various set-theoretical paradoxes such as Cantor's paradox, Burali-Forti's paradox, Russell's paradox, Russell-Myhill paradox and Kaplan's paradox. In fact, there is another new possible set-theoretical paradox hiding itself in Wittgenstein’s Tractatus. From the Tractatus’s Picture theory of language we can strictly infer the two contradictory propositions simultaneously: the world and the language are equinumerous; the world and the language are not equinumerous. I call this antinomy the world-language paradox. Based on a rigorous analysis of the (...)
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  36.  19
    Bertrand Russell in Recent Books in Logic History [review of Dov M. Gabbay and John Woods, eds., Logic from Russell to Church. Vol. 5 of The Handbook of the History of Logic, and Leila Haaparanta, ed., The Development of Modern Logic ]. [REVIEW]Irving Anellis - 2009 - Russell: The Journal of Bertrand Russell Studies 29 (2):167-173.
    In lieu of an abstract, here is a brief excerpt of the content:April 3, 2010 (11:17 am) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE2902\russell 29,2 050 red.wpd 1 Gabbay and Woods, eds., The Rise of Modern Logic from Leibniz to Frege, Vol. 3 of the Handbook of the History of Logic (Amsterdam, etc.: North-Holland, 2004). russell: the Journal of Bertrand Russell Studies n.s. 29 (winter 2009–10): 167–90 The Bertrand Russell Research Centre, McMaster U. issn 0036-01631; online 1913-8032 eviews BERTRAND RUSSELL IN RECENT (...)
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  37.  36
    Kant's Theory of Time, by Sadik J. Al-Azm. [REVIEW]M. B. M. - 1968 - Review of Metaphysics 22 (1):139.
    The author briskly gives the principles of criticism which he will follow in examining Kant's theory of time, and the distinctions between absolute time, psychological time, and the duration of events and processes which must be made in order to deal with the time theories of Kant and his great predecessors Newton and Leibniz and their defenders. Al-Azm then follows Kant's writings from 1747 through his brief conversion to the Newtonian "receptacle" theory, through the critical period. (...)
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  38. Russell's Paradox in Appendix B of the Principles of Mathematics : Was Frege's response adequate?Kevin C. Klement - 2001 - History and Philosophy of Logic 22 (1):13-28.
    In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...)
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  39.  62
    Russell's theory of types, 1901–1910: its complex origins in the unpublished manuscripts.Francisco A. Rodriguez Consuegra - 1989 - History and Philosophy of Logic 10 (2):131-164.
    In this article I try to show the philosophical continuity of Russell's ideas from his paradox of classes to Principia mathematica. With this purpose, I display the main results (descriptions, substitutions and types) as moments of the same development, whose principal goal was (as in his The principles) to look for a set of primitive ideas and propositions giving an account of all mathematics in logical terms, but now avoiding paradoxes. The sole way to reconstruct this central period in (...)
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  40.  25
    Interacting With Competence: A Validation Study of the Self-Efficacy in Intercultural Communication Scale-Short Form.Russell S. Kabir & Aaron C. Sponseller - 2020 - Frontiers in Psychology 11.
    Self-efficacy as applied to language learning encompasses the belief in one’s ability to obtain mastery in a sought-after domain of linguistic competence by committing to goals and maintaining acquired skills. Intercultural communication and effectiveness are of interest to the professional and personal language goals of learners as their progress depends upon a strong motivation to put practical language skills to use when the real-world requires it. Studying or working abroad and engaging in intercultural training are two such contexts that (...)
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  41. Plato's Theory of Forms and Other Papers.John-Michael Kuczynski - 2020 - Madison, WI, USA: College Papers Plus.
    Easy to understand philosophy papers in all areas. Table of contents: Three Short Philosophy Papers on Human Freedom The Paradox of Religions Institutions Different Perspectives on Religious Belief: O’Reilly v. Dawkins. v. James v. Clifford Schopenhauer on Suicide Schopenhauer’s Fractal Conception of Reality Theodore Roszak’s Views on Bicameral Consciousness Philosophy Exam Questions and Answers Locke, Aristotle and Kant on Virtue Logic Lecture for Erika Kant’s Ethics Van Cleve on Epistemic Circularity Plato’s Theory of Forms Can we trust our senses? (...)
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  42. On the Philosophical Roots of the Naïve and Axiomatic Set Theories: Determinatio est Negatio.Birgül Osman - 2024 - Felsefe Arkivi 61:73-83.
    The principle _determinatio est negatio_—that determination is achieved through negation—has philosophical roots extending back to Plato and Aristotle, and it later influenced early modern thinkers such as Francisco Suárez and Spinoza. This paper has two aims. The first demonstrates how the principle of negation functions as a tool for conceptual determination across various philosophical frameworks, and the second demonstrates that the principle plays a key role in the analysis and resolution of the Burali-Forti paradox within the context of the naïve (...)
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  43.  73
    (1 other version)Curry's Paradox.Lionel Shapiro & Jc Beall - 2017 - Edward N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy. CSLI Publications.
    “Curry’s paradox”, as the term is used by philosophers today, refers to a wide variety of paradoxes of self-reference or circularity that trace their modern ancestry to Curry (1942b) and Löb (1955). The common characteristic of these so-called Curry paradoxes is the way they exploit a notion of implication, entailment or consequence, either in the form of a connective or in the form of a predicate. Curry’s paradox arises in a number of different domains. Like Russell’s paradox, it can (...)
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  44.  74
    Kant's Theory of Property.Mary Gregor - 1988 - Review of Metaphysics 41 (4):757 - 787.
    IN THE GROUNDWORK OF THE METAPHYSICS OF MORALS Kant noted that, while the present work would be concerned only with the supreme principle of morality, he intended some day to write a "metaphysics of morals" in which he would set forth the whole system of man's duties derived from this principle. Twelve years later, in 1797, he published The Metaphysics of Morals in two parts: Metaphysical First Principles of the Doctrine of Right and Metaphysical First Principles of the Doctrine of (...)
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  45. (1 other version)The Barber, Russell's Paradox, Catch-22, God, Contradiction, and More.Laurence Goldstein - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb, The law of non-contradiction : new philosophical essays. New York: Oxford University Press. pp. 295--313.
    outrageous remarks about contradictions. Perhaps the most striking remark he makes is that they are not false. This claim first appears in his early notebooks (Wittgenstein 1960, p.108). In the Tractatus, Wittgenstein argued that contradictions (like tautologies) are not statements (Sätze) and hence are not false (or true). This is a consequence of his theory that genuine statements are pictures.
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  46.  12
    A Critical Study of Logical Paradoxes. [REVIEW]G. N. T. - 1971 - Review of Metaphysics 25 (2):354-355.
    This work is, in large part, a series of refutations; it is also the author's Ph.D. thesis. First to be refuted is Russell's vicious circle principle as a general remedy for the solution of the paradoxes. The author rejects the classification of paradoxes into syntactic and semantic, since in his view there are no purely syntactic paradoxes. The distinction in logic between the uninterpreted syntactical aspect of a system and the system when given a determinate interpretation is (...)
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  47. Plato’s Metaphysical Development before Middle Period Dialogues.Mohammad Bagher Ghomi - manuscript
    Regarding the relation of Plato’s early and middle period dialogues, scholars have been divided to two opposing groups: unitarists and developmentalists. While developmentalists try to prove that there are some noticeable and even fundamental differences between Plato’s early and middle period dialogues, the unitarists assert that there is no essential difference in there. The main goal of this article is to suggest that some of Plato’s ontological as well as epistemological principles change, both radically and fundamentally, between the early and (...)
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  48. The Barber, Russell's paradox, catch-22, God, contradiction and more: A defence of a Wittgensteinian conception of contradiction.Laurence Goldstein - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb, The law of non-contradiction : new philosophical essays. New York: Oxford University Press. pp. 295--313.
    outrageous remarks about contradictions. Perhaps the most striking remark he makes is that they are not false. This claim first appears in his early notebooks (Wittgenstein 1960, p.108). In the Tractatus, Wittgenstein argued that contradictions (like tautologies) are not statements (Sätze) and hence are not false (or true). This is a consequence of his theory that genuine statements are pictures.
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  49. Russell´s Early Type Theory and the Paradox of Propositions.André Fuhrmann - 2001 - Principia: An International Journal of Epistemology 5 (1-2):19–42.
    The paradox of propositions, presented in Appendix B of Russell's The Principles of Mathematics (1903), is usually taken as Russell's principal motive, at the time, for moving from a simple to a ramified theory of types. I argue that this view is mistaken. A closer study of Russell's correspondence with Frege reveals that Russell carne to adopt a very different resolution of the paradox, calling into question not the simplicity of his early type theory but (...)
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  50.  30
    Russell’s Paradox and the Theory of Propositional Functions in The Principles of Mathematics.Yasushi Nomura - 2013 - Kagaku Tetsugaku 46 (1):17-33.
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