Logical Pluralism

Logical Pluralism

Author: JC Beall

Publisher: Oxford University Press

Published: 2006

Total Pages: 152

ISBN-13: 0199288402

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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.


Logical Pluralism

Logical Pluralism

Author: JC Beall

Publisher: Clarendon Press

Published: 2005-11-24

Total Pages: 152

ISBN-13: 0191537144

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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.


Varieties of Logic

Varieties of Logic

Author: Stewart Shapiro

Publisher:

Published: 2014

Total Pages: 235

ISBN-13: 0199696527

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Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like "valid" and "logical consequence" are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away the "debates" in the literature between inferentialists and advocates of a truth-conditional, model-theoretic approach, and between those who advocate higher-order logic and those who insist that logic is first-order. A significant kind of pluralism flows from an orientation toward mathematics that emerged toward the end of the nineteenth century, and continues to dominate the field today. The theme is that consistency is the only legitimate criterion for a theory. Logical pluralism arises when one considers a number of interesting and important mathematical theories that invoke a non-classical logic, and are rendered inconsistent, and trivial, if classical logic is imposed. So validity is relative to a theory or structure. The perspective raises a host of important questions about meaning. The most significant of these concern the semantic content of logical terminology, words like 'or', 'not', and 'for all', as they occur in rigorous mathematical deduction. Does the intuitionistic 'not', for example, have the same meaning as its classical counterpart? Shapiro examines the major arguments on the issue, on both sides, and finds them all wanting. He then articulates and defends a thesis that the question of meaning-shift is itself context-sensitive and, indeed, interest-relative. He relates the issue to some prominent considerations concerning open texture, vagueness, and verbal disputes. Logic is ubiquitous. Whenever there is deductive reasoning, there is logic. So there are questions about logical pluralism that are analogous to standard questions about global relativism. The most pressing of these concerns foundational studies, wherein one compares theories, sometimes with different logics, and where one figures out what follows from what in a given logic. Shapiro shows that the issues are not problematic, and that is usually easy to keep track of the logic being used and the one mentioned.


The Metaphysics of Logic

The Metaphysics of Logic

Author: Penelope Rush

Publisher: Cambridge University Press

Published: 2014-10-16

Total Pages: 279

ISBN-13: 1107039649

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This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.


The Concept of Logical Consequence

The Concept of Logical Consequence

Author: John Etchemendy

Publisher: Stanford Univ Center for the Study

Published: 1999

Total Pages: 174

ISBN-13: 9781575861944

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The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.


The Semantic Conception of Logic

The Semantic Conception of Logic

Author: Gil Sagi

Publisher: Cambridge University Press

Published: 2021-09-09

Total Pages: 316

ISBN-13: 1108529828

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This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.


Pluralisms in Truth and Logic

Pluralisms in Truth and Logic

Author: Jeremy Wyatt

Publisher: Springer

Published: 2018-12-29

Total Pages: 483

ISBN-13: 3319983466

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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.


A Companion to Atheism and Philosophy

A Companion to Atheism and Philosophy

Author: Graham Oppy

Publisher: John Wiley & Sons

Published: 2019-05-06

Total Pages: 600

ISBN-13: 1119119111

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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.


Logic

Logic

Author: Greg Restall

Publisher: Routledge

Published: 2005

Total Pages: 186

ISBN-13: 1134145993

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