Non Contradiction

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The Law of Non-Contradiction

Author : Graham Priest
Publisher : Clarendon Press
ISBN 13 : 0191548065
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Law of Non-Contradiction by : Graham Priest

Download or read book The Law of Non-Contradiction written by Graham Priest and published by Clarendon Press. This book was released on 2006-11-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.

The Book of Non-Contradiction

Author : Phillip Campbell
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781542947145
Total Pages : 202 pages
Book Rating : 4.9/5 (471 download)

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Book Synopsis The Book of Non-Contradiction by : Phillip Campbell

Download or read book The Book of Non-Contradiction written by Phillip Campbell and published by Createspace Independent Publishing Platform. This book was released on 2017-02-04 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Book of Non-Contradiction: Harmonizing the Scriptures", by Phillip Campbell reintroduces the classical method of harmonizing difficult scriptural passages, showing how the skeptics' claim of a "Bible full of contradictions" is completely unfounded. Proceeding from the axiom that truth cannot contradict truth, "The Book of Non-Contradiction" follows in the footsteps of great Catholic exegetes like St. Augustine and Tatian who demonstrated the harmony of the Scriptural narrative.

The Principle of Non-contradiction in Plato's Republic

Author : Laurence Bloom
Publisher : Lexington Books
ISBN 13 : 0739190245
Total Pages : 273 pages
Book Rating : 4.7/5 (391 download)

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Book Synopsis The Principle of Non-contradiction in Plato's Republic by : Laurence Bloom

Download or read book The Principle of Non-contradiction in Plato's Republic written by Laurence Bloom and published by Lexington Books. This book was released on 2017-03-08 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato’s formulation of the Principle of Non-contradiction (PNC) in Republic IV is the first full statement of the principle in western philosophy. His use of the principle might seem to suggest that he endorses the PNC. After all, how could one possibly deny so fundamental a principle—especially when it seems difficult to deny it without relying on it. However, the endorsement in the text is qualified. Socrates refers to the principle as one that he and his interlocutors will hypothesize and warns that if it should ever be shown to be false, all that follows from it will also be refuted. Scholars who have noticed this issue have tended to assume that the truth of the hypothesis in question can be guaranteed. Laurence Bloom argues against unthinkingly accepting this claim. He suggests that what emerges from the text is more sophisticated: Plato’s concession that the PNC is hypothetical is a textual clue pointing us to a complex philosophical argument that grounds the PNC, as well as the sort of reasoning it grounds, in form. Indeed, in framing the problem in this way, we can read the Republic as providing an extended argument for form. The argument for forms that emerges is complex and difficult. It is not and cannot be a normal, discursive argument. Indeed, the argument cannot even be one that assumes the PNC; if it did so, it would fall prey to a vicious circularity. Rather, the argument rests on the very possibility of our hypothesizing the PNC in the first place. Our ability to hypothesize the PNC—and perhaps our inability not to hypothesize it—is the linchpin. When we ask questions such as “to what objects does the PNC apply?” or “how is it possible that we apply the PNC?,” we are asking questions that lead us to the existence of form. The Principle of Non-contradiction in Plato’s Republic also explores the soul of the knower—the very entity to which and by which the principle is applied in the text—and its underlying unity.

The Principle of Contradiction

Author : Edward Conze
Publisher : Lexington Books
ISBN 13 : 1498540147
Total Pages : 560 pages
Book Rating : 4.4/5 (985 download)

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Book Synopsis The Principle of Contradiction by : Edward Conze

Download or read book The Principle of Contradiction written by Edward Conze and published by Lexington Books. This book was released on 2016-09-30 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conze’s monograph The Principle of Contradiction: On the Theory of Dialectical Materialism is his most important philosophical work and the foundation for his later publications as a Buddhist scholar and translator. The openly Marxist work was published under considerable risk to both printer and author alike in December 1932 in Hamburg, Germany. Only months later, in May 1933, almost all of the five hundred copies of the first edition were destroyed during the Nazi book burning campaign. It is only now, more than eighty years later, that Conze’s key philosophical work is made available to a broad audience in this English translation. In the work, Conze sets out to develop a detailed account of the historical and material conditions that support the emergence, production, and transmission of theoretical knowledge—as exemplified by the principle of contradiction—and, furthermore, to show that under different social and historical conditions the allegedly necessary truth and indubitable content of the principle would dissolve and be replaced by a radically different understanding of the principle of contradiction—a dialectic understanding of the principle that would compel a rejection of the Aristotelian dogma. From a Marxist perspective, the analysis and critique of the principle of contradiction is a crucial and necessary step towards a dialectical understanding of philosophical (and political) theory and practice. Conze’s monograph, which attempts to clear the ground for a deeper understanding of the very foundation of classical Marxist thought, may very well be the most comprehensive Marxist critique of the Aristotelian principle of contradiction available to this day. However, Conze’s pioneering 1932 monograph goes well beyond the constraints of an orthodox Marxist analysis. His erudite and scholarly account of the history and evolution of the principle of contradiction illuminates the thought of Aristotle, Marx, and Buddha, and provides the groundwork for a new cross-cultural and interdisciplinary approach to philosophical theory and practice.

How to Sell a Contradiction

Author : Francesco Berto
Publisher :
ISBN 13 : 9781904987437
Total Pages : 0 pages
Book Rating : 4.9/5 (874 download)

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Book Synopsis How to Sell a Contradiction by : Francesco Berto

Download or read book How to Sell a Contradiction written by Francesco Berto and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is a principle in things, about which we cannot be deceived, but must always, on the contrary, recognize the truth - viz. that the same thing cannot at one and the same time be and not be" with these words of the Metaphysics, Aristotle introduced the Law of Non-Contradiction, which was to become the most authoritative principle in the history of Western thought. However, things have recently changed, and nowadays various philosophers, called dialetheists, claim that this Law does not hold unrestrictedly - that in peculiar circumstances the same thing may at the same time be and not be, and contradictions may obtain in the world. This book opens with an examination of the famous logical paradoxes that appear to speak on behalf of contradictions (e.g., the Liar paradox, the set-theoretic paradoxes such as Cantor's and Russell's), and of the reasons for the failure of the standard attempts to solve them. It provides, then, an introduction to paraconsistent logics - non-classical logics in which the admission of contradictions does not lead to logical chaos -, and their astonishing applications, going from inconsistent data base management to contradictory arithmetics capable of circumventing Gödel's celebrated Incompleteness Theorem. The final part of the book discusses the philosophical motivations and difficulties of dialetheism, and shows how to extract from Aristotle's ancient words a possible reply to the dialetheic challenge. How to Sell a Contradiction will appeal to anyone interested in non-classical logics, analytic metaphysics, and philosophy of mathematics, and especially to those who consider challenging our most entrenched beliefs the main duty of philosophical inquiry. Francesco Berto is Lecturer in Logic and Metaphysics at the University of Venice, Italy. He has published articles in American Philosophical Quarterly, The Australasian Journal of Philosophy, Dialectica, Logique et Analyse, The European Journal of Philosophy, and the books La dialettica della struttura originaria [The Dialectics of the Basic Structure, Padua 2003], Che cos'è la dialettica hegeliana [What is Hegel's Dialectics?, Padua 2005], Teorie dell'assurdo [Theories of the Absurd, Rome 2006] and Logica da zero a Gödel [Logic, from Zero to Gödel, Rome 2007].

In Contradiction

Author : Graham Priest
Publisher : Oxford University Press, USA
ISBN 13 : 0199263299
Total Pages : 351 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis In Contradiction by : Graham Priest

Download or read book In Contradiction written by Graham Priest and published by Oxford University Press, USA. This book was released on 2006-02-16 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Priest advocates and defends the view that there are true contradictions (dialetheism), a perspective that flies in the face of orthodoxy in Western philosophy since Aristole and remains at the centre of philosophical debate. This edition contains the author's reflections on developments since 1987.

The Contradictory Christ

Author : Jc Beall
Publisher : Oxford University Press
ISBN 13 : 019259351X
Total Pages : 224 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis The Contradictory Christ by : Jc Beall

Download or read book The Contradictory Christ written by Jc Beall and published by Oxford University Press. This book was released on 2021-01-14 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this ground-breaking study, Jc Beall shows that the fundamental "problem" of Christology is simple to see from the role that Christ occupies: the Christ figure is to have the divine and essentially limitless properties of the one and only God but Christ is equally to have the human, essentially limit-imposing properties involved in human nature, limits essentially involved in being human. The role that Christ occupies thereby appears to demand a contradiction: all of the limitlessness of God, and all of the limits of humans. This book lays out Beall's contradictory account of Jesus Christ — and thereby a contradictory Christian theology.

Heidegger and the Contradiction of Being

Author : Filippo Casati
Publisher : Routledge
ISBN 13 : 1000506126
Total Pages : 200 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Heidegger and the Contradiction of Being by : Filippo Casati

Download or read book Heidegger and the Contradiction of Being written by Filippo Casati and published by Routledge. This book was released on 2021-11-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a clear, analytic, and innovative interpretation of Heidegger’s late work. This period of Heidegger’s philosophy remains largely unexplored by analytic philosophers, who consider it filled with inconsistencies and paradoxical ideas, particularly concerning the notions of Being and nothingness. This book takes seriously the claim that the late Heidegger endorses dialetheism – namely the position according to which some contradictions are true – and shows that the idea that Being is both an entity and not an entity is neither incoherent nor logically trivial. The author achieves this by presenting and defending the idea that reality has an inconsistent structure. In doing so, he takes one of the most discussed topics in current analytic metaphysics, grounding theory, into a completely unexplored area. Additionally, in order to make sense of Heidegger’s concept of nothingness, the author introduces an original axiomatic mereological system that, having a paraconsistent logic as a base logic, can tolerate inconsistencies without falling into logical triviality. This is the first book to set forth a complete and detailed discussion of the late Heidegger in the framework of analytic metaphysics. It will be of interest to Heidegger scholars and analytic philosophers working on theories of grounding, mereology, dialetheism, and paraconsistent logic.

Sense and Contradiction: A Study in Aristotle

Author : R.M. Dancy
Publisher : Springer Science & Business Media
ISBN 13 : 9401097704
Total Pages : 214 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Sense and Contradiction: A Study in Aristotle by : R.M. Dancy

Download or read book Sense and Contradiction: A Study in Aristotle written by R.M. Dancy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study began as a paper. It got out of hand. It had help doing that. Oswaldo Chateaubriand, Ronald Haver, Paul Horwich, Bernie Katz, Norman Kretzmann, Stanley Martens, Stephen Pink, Michael Stokes, Eleanor Stump, Bill Ulrich, Celia Wolf, and a lot of other people questioned or criticized or helped reformulate one or another of the arguments and interpretations along the way. In spite of (maybe partly because of) their efforts, the book is full of mistakes. At least, induction over previous drafts indicates that irresistibly. But I do not, right now, know of any particular mistakes. All but a couple of the translations are mine (the exceptions are noted). That is not because existing translations are bad, but because some uniformity was essential. The translations often make unpleasant reading. So, often, does Aristotle; I have tried to be literal. A text and translation of the passage on which the book centers is in Appendix III. Footnotes cite literature by author and (sometimes abbreviated) title. Details are in the bibliography. I do not profess to have covered all the literature. An enormous amount of editorial work was done by Margaret Mundy. She was not able to undo the errors that remain. In particular, the footnotes are often numbered oddly: '4', '4a', '4b', etc.

The Law of Non-contradiction

Author : Graham Priest
Publisher :
ISBN 13 :
Total Pages : 443 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis The Law of Non-contradiction by : Graham Priest

Download or read book The Law of Non-contradiction written by Graham Priest and published by . This book was released on 2004 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thinking and Being

Author : Irad Kimhi
Publisher : Harvard University Press
ISBN 13 : 0674985281
Total Pages : 169 pages
Book Rating : 4.6/5 (749 download)

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Book Synopsis Thinking and Being by : Irad Kimhi

Download or read book Thinking and Being written by Irad Kimhi and published by Harvard University Press. This book was released on 2018-07-09 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Opposing a long-standing orthodoxy of the Western philosophical tradition running from ancient Greek thought until the late nineteenth century, Frege argued that psychological laws of thought—those that explicate how we in fact think—must be distinguished from logical laws of thought—those that formulate and impose rational requirements on thinking. Logic does not describe how we actually think, but only how we should. Yet by thus sundering the logical from the psychological, Frege was unable to explain certain fundamental logical truths, most notably the psychological version of the law of non-contradiction—that one cannot think a thought and its negation simultaneously. Irad Kimhi’s Thinking and Being marks a radical break with Frege’s legacy in analytic philosophy, exposing the flaws of his approach and outlining a novel conception of judgment as a two-way capacity. In closing the gap that Frege opened, Kimhi shows that the two principles of non-contradiction—the ontological principle and the psychological principle—are in fact aspects of the very same capacity, differently manifested in thinking and being. As his argument progresses, Kimhi draws on the insights of historical figures such as Aristotle, Kant, and Wittgenstein to develop highly original accounts of topics that are of central importance to logic and philosophy more generally. Self-consciousness, language, and logic are revealed to be but different sides of the same reality. Ultimately, Kimhi’s work elucidates the essential sameness of thinking and being that has exercised Western philosophy since its inception.

Paraconsistent Logic: Consistency, Contradiction and Negation

Author : Walter Carnielli
Publisher : Springer
ISBN 13 : 3319332058
Total Pages : 417 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Paraconsistent Logic: Consistency, Contradiction and Negation by : Walter Carnielli

Download or read book Paraconsistent Logic: Consistency, Contradiction and Negation written by Walter Carnielli and published by Springer. This book was released on 2016-06-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistency This book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses (i) the history of paraconsistent logic; (ii) language, negation, contradiction, consistency and inconsistency; (iii) logics of formal inconsistency (LFIs) and the main paraconsistent propositional systems; (iv) many-valued companions, possible-translations semantics and non-deterministic semantics; (v) paraconsistent modal logics; (vi) first-order paraconsistent logics; (vii) applications to information processing, databases and quantum computation; and (viii) applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ancient Self-Refutation

Author : Luca Castagnoli
Publisher : Cambridge University Press
ISBN 13 : 0521896312
Total Pages : 415 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Ancient Self-Refutation by : Luca Castagnoli

Download or read book Ancient Self-Refutation written by Luca Castagnoli and published by Cambridge University Press. This book was released on 2010-09-30 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book-length treatment provides a unified account of what is distinctive in the ancient approach to the self-refutation argument.

Contradictions, from Consistency to Inconsistency

Author : Walter Carnielli
Publisher : Springer
ISBN 13 : 3319987976
Total Pages : 324 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Contradictions, from Consistency to Inconsistency by : Walter Carnielli

Download or read book Contradictions, from Consistency to Inconsistency written by Walter Carnielli and published by Springer. This book was released on 2018-10-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume investigates what is beyond the Principle of Non-Contradiction. It features 14 papers on the foundations of reasoning, including logical systems and philosophical considerations. Coverage brings together a cluster of issues centered upon the variety of meanings of consistency, contradiction, and related notions. Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths. Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.

The Philosophical Review

Author : Jacob Gould Schurman
Publisher :
ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Philosophical Review by : Jacob Gould Schurman

Download or read book The Philosophical Review written by Jacob Gould Schurman and published by . This book was released on 1923 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international journal of general philosophy.

Hypothesis and the Spiral of Reflection

Author : David Weissman
Publisher : State University of New York Press
ISBN 13 : 1438423748
Total Pages : 264 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Hypothesis and the Spiral of Reflection by : David Weissman

Download or read book Hypothesis and the Spiral of Reflection written by David Weissman and published by State University of New York Press. This book was released on 1989-09-11 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a realist, fallibilist alternative when intuitionism and its psychocentric ontology are rejected. Weissman proposes an agenda for metaphysical inquiry and also a method for testing metaphysical claims. Arguing that science and metaphysics are successive refinements of the maps and plans used in practical life, he affirms that metaphysics is to complete our self-understanding by locating us within a world we have not made. This book is a sequel to Intuition and Ideality which surveys the many versions of intuitionism—intuitionism as it prescribes that reality be identified with mind itself or with the things set before our inspecting mind.