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Logical Pluralism And Logical Consequence

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Logical Pluralism And Logical Consequence

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Author : Erik Stei
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-30

Logical Pluralism And Logical Consequence written by Erik Stei 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 2023-03-30 with Philosophy categories.

A detailed discussion and rejection of the view that there is more than one correct logic.

Logical Pluralism And Logical Consequence

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Author : Erik Stei
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-30

Logical pluralism is the view that there is more than one correct logic. This is not necessarily a controversial claim but in its most exciting formulations, pluralism extends to logics that have typically been considered rival accounts of logical consequence – to logics, that is, which adopt seemingly contradictory views about basic logical laws or arguments. The logical pluralist challenges the philosophical orthodoxy that an argument is either deductively valid or invalid by claiming that there is more than one way for an argument to be valid. In this book, Erik Stei defends logical monism, provides a detailed analysis of different possible formulations of logical pluralism, and offers an original account of the plurality of correct logics that incorporates the benefits of both pluralist and monist approaches to logical consequence. His book will be valuable for a range of readers in the philosophy of logic.

Logical Pluralism

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Author : JC Beall
language : en
Publisher: Clarendon Press
Release Date : 2005-11-24

Logical Pluralism written by JC Beall and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-24 with Philosophy categories.

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. Their conclusions have profound implications for many linguists as well as for philosophers.

A Companion To Atheism And Philosophy

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Author : Graham Oppy
language : en
Publisher: John Wiley & Sons
Release Date : 2019-05-06

A Companion To Atheism And Philosophy written by Graham Oppy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-06 with Philosophy categories.

PROSE 2020 Single Volume Reference Finalist! Philosophers throughout history have debated the existence of gods, but it is only in recent years that the absence of such a belief has become a significant topic of philosophical analysis, in particular for philosophers of religion. Although it is difficult to trace the historical contours of atheism as the lack of belief in a higher power, the reasoned, reflective, and thoughtful rejection of theism has become commonplace in many modern intellectual circles, including academic philosophy where disciplinary data indicates that a large majority of philosophers self-identify as atheists. As the first book of its kind to bring together a collection of writing on the philosophical aspects of atheism both historical and contemporary, the Companion to Atheism and Philosophy stages an explicit, constructive, and comprehensive conversation between philosophy and atheism to examine the ways in which atheist thought intersects with ideas and positions from a variety of philosophical and theological sub-disciplines. The Companion begins by addressing the foundational questions and lingering controversies which underpin philosophical thought about atheism, exploring the implications of major developments in the history of philosophy for the modern atheistic worldview. Divided into eight distinct sections, essays consider a range of thinkers who were widely believed to have been atheists—including David Hume, Mary Wollstonecraft, Karl Marx, and Elizabeth Cady Stanton—and survey different kinds of objections to theism and atheism, including logical, evidential, normative, and prudential. Later chapters trace the relationship between atheism and metaphysics, epistemology, ethics, and political philosophy oriented around topics such as pragmatism, postmodernism, freedom, education, violence, and happiness. Deftly curated and thoughtfully composed, A Companion to Atheism and Philosophy is the most ambitious and authoritative account of philosophical thinking on atheism available, and is a first-rate resource for academics, professionals, and students of philosophy, religious studies, and theology.

The Evolution Of Logic

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Author : W. D. Hart
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-23

The Evolution Of Logic written by W. D. Hart 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 2010-08-23 with Philosophy categories.

Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.

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.

Logical Pluralism

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Author :
language : en
Publisher:
Release Date : 2006

Logical Pluralism written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Causation categories.

Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.

Logic

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Author : Greg Restall
language : en
Publisher: Psychology Press
Release Date : 2006

Logic written by Greg Restall and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Philosophy categories.

A comprehensive introduction to the major concepts and techniques involved in the study of logic. It explores both formal and philosophical logic and examines the ways in which we can achieve good reasoning.

Foundations Of Logical Consequence

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Author : Colin R. Caret
language : en
Publisher: Mind Association Occasional
Release Date : 2015

Foundations Of Logical Consequence written by Colin R. Caret and has been published by Mind Association Occasional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.

Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.

The Many And The One

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Author : Salvatore Florio
language : en
Publisher: Oxford University Press
Release Date : 2021-07-22

The Many And The One written by Salvatore Florio 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 2021-07-22 with Philosophy categories.

Plural expressions found in natural languages allow us to talk about many objects simultaneously. Plural logic -- a logical system that takes plurals at face value -- has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic's applications than has been given thus far. Questions about the correct logic of plurals play a central role in the final chapters, where traditional plural logic is rejected in favor of a “critical” alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes.

Logical Pluralism And Logical Consequence

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