Paradoxes And Inconsistent Mathematics
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Paradoxes And Inconsistent Mathematics
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Author : Zach Weber
language : en
Publisher: Cambridge University Press
Release Date : 2021-10-21
Paradoxes And Inconsistent Mathematics written by Zach Weber and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-21 with Mathematics categories.
Why are there paradoxes? This book uses paraconsistent logic to develop the mathematics to find out.
Proofs And Research Programmes Lakatos At 100
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Author : Roman Frigg
language : en
Publisher: Springer Nature
Release Date : 2025-08-10
Proofs And Research Programmes Lakatos At 100 written by Roman Frigg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-10 with Science categories.
This open access book offers new insights into issues raised in philosophy of mathematics and in philosophy of science by Imre Lakatos. Lakatos was one of the most significant philosophers of the 20th Century, and his ideas remain important and relevant today. November 2022 saw the centenary of Lakatos’s birth, and the event was marked by an international conference held at the LSE – where Lakatos made his career after he had emigrated from Hungary to England. This volume consists of a selection of papers presented at the conference along with two additional contributions to debates about Lakatos’s continuing influence and importance.
The Oxford Handbook Of Truth
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Author : Michael Glanzberg
language : en
Publisher: Oxford University Press
Release Date : 2018-07-04
The Oxford Handbook Of Truth written by Michael Glanzberg and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-04 with Philosophy categories.
Truth is one of the central concepts in philosophy, and has been a perennial subject of study. Michael Glanzberg has brought together 36 leading experts from around the world to produce the definitive guide to philosophical issues to do with truth. They consider how the concept of truth has been understood from antiquity to the present day, surveying major debates about truth during the emergence of analytic philosophy. They offer critical assessments of the standard theories of truth, including the coherence, correspondence, identity, and pragmatist theories. They explore the role of truth in metaphysics, with lively discussion of truthmakers, proposition, determinacy, objectivity, deflationism, fictionalism, relativism, and pluralism. Finally the handbook explores broader applications of truth in philosophy, including ethics, science, and mathematics, and reviews formal work on truth and its application to semantic paradox. This Oxford Handbook will be an invaluable resource across all areas of philosophy.
Hilbert G Ttingen And The Development Of Modern Mathematics
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Author : Joan Roselló
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-02-01
Hilbert G Ttingen And The Development Of Modern Mathematics written by Joan Roselló and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Mathematics categories.
David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics. The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.
Paradoxes
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Author :
language : en
Publisher: PediaPress
Release Date :
Paradoxes written by and has been published by PediaPress this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Paradox And Contradiction In Theology
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Author : Jonathan C. Rutledge
language : en
Publisher: Taylor & Francis
Release Date : 2023-09-29
Paradox And Contradiction In Theology written by Jonathan C. Rutledge and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Religion categories.
This book explores and expounds upon questions of paradox and contradiction in theology with an emphasis on recent contributions from analytic philosophical theology. It addresses questions such as: What is the place of paradox in theology? Where might different systems of logic (e.g., paraconsistent ones) find a place in theological discourse (e.g., Christology)? What are proper responses to the presence of contradiction(s) in one’s theological theories? Are appeals to analogical language enough to make sense of paradox? Bringing together an impressive line-up of theologians and philosophers, the volume offers a range of fresh perspectives on a central topic. It is valuable reading for scholars of theology and philosophy of religion.
Paradoxes Between Truth And Proof
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Author : Mattia Petrolo
language : en
Publisher: Springer Nature
Release Date : 2024-12-04
Paradoxes Between Truth And Proof written by Mattia Petrolo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-04 with Mathematics categories.
This book is a collection of essays that offer original logical and philosophical investigations into the century-long endeavor to understand paradoxes. It bridges the gap between the two most prominent traditions in the analysis of paradoxes: the truth-theoretic and proof-theoretic approaches. The truth-theoretic tradition stems from Alfred Tarski's solution to the semantic paradoxes, while the proof-theoretic tradition dates back to Dag Prawitz's analysis of set-theoretic paradoxes in terms of structural proof theory. Rather than viewing these traditions as competing perspectives, this volume advocates for the idea that a deeper understanding of paradoxes requires insights from both truth-theoretic and proof-theoretic conceptions of language and meaning. Although the collection does not aim to be exhaustive, it seeks to highlight the vast scope of the subject and its deep connections to various fields of inquiry. The essays are organized into four sections: the first focuses on methodology, the second and third examine paradoxes through the conventional lenses of logical investigation—semantics and syntax—, and the fourth presents a selection of paradoxes that extend beyond the interplay between syntax and semantics, exploring other dimensions of human rationality.
Paradoxes Of Free Will
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Author : Gunther Siegmund Stent
language : en
Publisher: American Philosophical Society
Release Date : 2002
Paradoxes Of Free Will written by Gunther Siegmund Stent and has been published by American Philosophical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with History categories.
Driving human reason too far in the analysis of deep problems often leads to irresolvable inconsistencies and contradictions. In this 2002 J.F. Lewis Award-winning monograph, Gunther Stent traces the origins and development of the paradoxes of free will in this well-crafted introduction to philosophical debates regarding freedom of will. Free will poses one of the oldest and most vexatious philosophical problems, dating back to the beginnings of moral philosophy in ancient Greece. Pure theoretical reason implies that our actions are determined, while practical theoretical reason tells us that our will is free. Stent examines the arguments of moral responsibility versus determinism, from Socrates, Plato, and Aristotle to Immanuel Kant, Niels Bohr, and Max Planck.
The Law Of Non Contradiction
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Author : Graham Priest
language : en
Publisher: Clarendon Press
Release Date : 2006-11-30
The Law Of Non Contradiction written by Graham Priest and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Philosophy categories.
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.
Dialetheism And Its Applications
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Author : Adam Rieger
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Dialetheism And Its Applications written by Adam Rieger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.
The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory. It includes contributions from some of the most respected scholars in the field, as well as from young, up-and-coming philosophers working on dialetheism. Moving from the fringes of philosophy to become a main player in debates concerning truth and the logical paradoxes, dialetheism has thrived since the publication of Graham Priest’s In Contradiction, and several of the papers find their roots in a conference on dialetheism held in Glasgow to mark the 25th anniversary of Priest’s book. The content presented here demonstrates the considerable body of work produced in this field in recent years. With a broad focus, this book also addresses the applications of dialetheism outside the more familiar area of the logical paradoxes, and includes pieces discussing the application of dialetheism in metaphysics, philosophy of language, and philosophy of mind.