Saving Truth From Paradox
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Saving Truth From Paradox
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Author : Hartry Field
language : en
Publisher: OUP Oxford
Release Date : 2008-03-06
Saving Truth From Paradox written by Hartry Field and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-06 with Philosophy categories.
Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.
Saving Truth From Paradox
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Author : Hartry H. Field
language : en
Publisher:
Release Date : 2008
Saving Truth From Paradox written by Hartry H. Field and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Paradox categories.
This is an investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches.
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.
Replacing Truth
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Author : Kevin Scharp
language : en
Publisher: OUP Oxford
Release Date : 2013-07-11
Replacing Truth written by Kevin Scharp and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-11 with Philosophy categories.
Kevin Scharp proposes an original theory of the nature and logic of truth on which truth is an inconsistent concept that should be replaced for certain theoretical purposes. Replacing Truth opens with an overview of work on the nature of truth (e.g., correspondence theories, deflationism), work on the liar and related paradoxes, and a comprehensive scheme for combining these two literatures into a unified study of the concept truth. Scharp argues that truth is best understood as an inconsistent concept, and proposes a detailed theory of inconsistent concepts that can be applied to the case of truth. Truth also happens to be a useful concept, but its inconsistency inhibits its utility; as such, it should be replaced with consistent concepts that can do truth's job without giving rise to paradoxes. To this end, Scharp offers a pair of replacements, which he dubs ascending truth and descending truth, along with an axiomatic theory of them and a new kind of possible-worlds semantics for this theory. As for the nature of truth, he goes on to develop Davidson's idea that it is best understood as the core of a measurement system for rational phenomena (e.g., belief, desire, and meaning). The book finishes with a semantic theory that treats truth predicates as assessment-sensitive (i.e., their extension is relative to a context of assessment), and a demonstration of how this theory solves the problems posed by the liar and other paradoxes.
Reflections On The Liar
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Author : Bradley P. Armour-Garb
language : en
Publisher: Oxford University Press
Release Date : 2017
Reflections On The Liar written by Bradley P. Armour-Garb 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 2017 with Mathematics categories.
There are a number of people who do great work in philosophy who have said very little about the Liar paradox. The purpose of this volume is to afford those philosophers the opportunity to address what might be described as reflections on the Liar.
Truth The Basics
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Author : Jc Beall
language : en
Publisher: Taylor & Francis
Release Date : 2023-12-04
Truth The Basics written by Jc Beall and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-04 with Philosophy categories.
Truth: The Basics is a concise and engaging introduction to philosophical theories about the nature of truth. The two authors – leading philosophers in this field – build the book around a single question: what, if anything, is common to all truths, which makes them true? The book explores five important answers (‘theories’) to the given question: correspondence, semantic, verifiability, transparency, and plurality. For each given theory, the following questions are addressed: What is the theory’s answer to the central question? What is the basic motivation behind that answer? What is a precise argument for that answer? What are the biggest objections to that answer? What are a few good resources for understanding more about the theory? An additional chapter provides an extensive introduction to the notorious liar paradox. Truth: The Basics is an ideal starting point for anyone seeking a lively and accessible introduction to the rich and complex philosophical study of truth. Key Features: Written in a clear and concise fashion Clearly explains five major theories of truth for an uninitiated readership of undergraduate students and general readers Prepares the reader to tackle more advanced work in truth studies Makes connections between truth and other areas of philosophy, including the philosophy of language, semantics, metaphysics, logic and epistemology Includes technical appendices for more advanced readers
Pluralisms In Truth And Logic
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Author : Jeremy Wyatt
language : en
Publisher: Springer
Release Date : 2018-12-29
Pluralisms In Truth And Logic written by Jeremy Wyatt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-29 with Philosophy categories.
This edited volume brings together 18 state-of-the art essays on pluralism about truth and logic. Parts I and II are dedicated to respectively truth pluralism and logical pluralism, and Part III to their interconnections. Some contributors challenge pluralism, arguing that the nature of truth or logic is uniform. The majority of contributors, however, defend pluralism, articulate novel versions of the view, or contribute to fundamental debates internal to the pluralist camp. The volume will be of interest to truth theorists and philosophers of logic, as well as philosophers interested in relativism, contextualism, metaphysics, philosophy of language, semantics, paradox, epistemology, or normativity.
New Waves In Truth
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Author : C. Wright
language : en
Publisher: Springer
Release Date : 2010-07-16
New Waves In Truth written by C. Wright and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-16 with Philosophy categories.
What is truth? Philosophers are interested in a range of issues involving the concept of truth beginning with what sorts of things can be true. This is a collection of eighteen new and original research papers on truth and other alethic phenomena by twenty of the most promising young scholars working on truth today.
Beyond Sets
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Author : Nicholas Rescher
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02
Beyond Sets written by Nicholas Rescher and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.
This book is the product of a collaboration stretching the years 2007-10, whose initial fruit was a paper on “Plenum Theory” published in Nous. The work grew out of the author’s conviction that standard set theory, which had evolved to meet the needs of mathematics, was not fully adequate to the less abstractly geared and rigidly determine needs of less finalized ranges of inquiry and deliberation.
The Nature Of Truth Second Edition
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Author : Michael P. Lynch
language : en
Publisher: MIT Press
Release Date : 2021-03-16
The Nature Of Truth Second Edition written by Michael P. Lynch and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-16 with Philosophy categories.
The definitive and essential collection of classic and new essays on analytic theories of truth, revised and updated, with seventeen new chapters. The question "What is truth?" is so philosophical that it can seem rhetorical. Yet truth matters, especially in a "post-truth" society in which lies are tolerated and facts are ignored. If we want to understand why truth matters, we first need to understand what it is. The Nature of Truth offers the definitive collection of classic and contemporary essays on analytic theories of truth. This second edition has been extensively revised and updated, incorporating both historically central readings on truth's nature as well as up-to-the-moment contemporary essays. Seventeen new chapters reflect the current trajectory of research on truth.