The Problem Of Plurality Of Logics

Author : Pavel Arazim
Publisher : Unknown
Page : 196 pages
File Size : 41,9 Mb
Release : 2021
Category : Logic
ISBN : 1350146781

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The Problem of Plurality of Logics by Pavel Arazim Pdf

As the foundation of our rationality, logic has traditionally been considered fixed, stable and constant. This conception of the discipline has been challenged recently by the plurality of logics and in this book, Pavel Arazim extends the debate to offer a new view of logic as dynamic and without a definite, specific shape. The Problem of Plurality of Logics examines the origins of our standard view of logic alongside Kant's theories, the holistic view, the issue of logic's pragmatic significance and Robert Brandom's logical expressivism. Arazim then draws on proof-theoretical approaches to present a convincing argument for a dynamic version of logical inferentialism, which opens space for a new freedom to modify our own logic. He explores the scope, possibilities and limits of this freedom in order to highlight the future paths logic could take, as a motivation for further research. Marking a departure from logical monism and also from the recent doctrine of logical pluralism in its various forms, this book addresses current debates concerning the expressive role of logic and contributes to a lively area of discussion in analytic philosophy

Author : JC Beall,Jeffrey C. Beall,Greg Restall
Publisher : Oxford University Press on Demand
Page : 152 pages
File Size : 53,5 Mb
Release : 2006
Category : Philosophy
ISBN : 9780199288403

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Logical Pluralism by JC Beall,Jeffrey C. Beall,Greg Restall Pdf

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.

Author : Pavel Arazim
Publisher : Bloomsbury Publishing
Page : 185 pages
File Size : 42,5 Mb
Release : 2021-08-12
Category : Philosophy
ISBN : 9781350146778

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The Problem of Plurality of Logics by Pavel Arazim Pdf

As the foundation of our rationality, logic has traditionally been considered fixed, stable and constant. This conception of the discipline has been challenged recently by the plurality of logics and in this book, Pavel Arazim extends the debate to offer a new view of logic as dynamic and without a definite, specific shape. The Problem of Plurality of Logics examines the origins of our standard view of logic alongside Kant's theories, the holistic view, the issue of logic's pragmatic significance and Robert Brandom's logical expressivism. Arazim then draws on proof-theoretical approaches to present a convincing argument for a dynamic version of logical inferentialism, which opens space for a new freedom to modify our own logic. He explores the scope, possibilities and limits of this freedom in order to highlight the future paths logic could take, as a motivation for further research. Marking a departure from logical monism and also from the recent doctrine of logical pluralism in its various forms, this book addresses current debates concerning the expressive role of logic and contributes to a lively area of discussion in analytic philosophy.

Author : Erik Stei
Publisher : Cambridge University Press
Page : 229 pages
File Size : 46,9 Mb
Release : 2023-03-30
Category : Philosophy
ISBN : 9781108851879

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Logical Pluralism and Logical Consequence by Erik Stei Pdf

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.

Author : Massimiliano Carrara,Alexandra Arapinis,Friederike Moltmann
Publisher : Oxford University Press
Page : 276 pages
File Size : 41,5 Mb
Release : 2016
Category : Language Arts & Disciplines
ISBN : 9780198716327

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Unity and Plurality by Massimiliano Carrara,Alexandra Arapinis,Friederike Moltmann Pdf

This volume brings together new work on the logic and ontology of plurality and on the semantics of plurals in natural language. A team of leading experts explore the traditions of plural reference and a singularist approach to plurals; investigate non-standard mereology; and explore novel applications to natural language phenomena.

Author : Jeremy Wyatt,Nikolaj J. L. L. Pedersen,Nathan Kellen
Publisher : Springer
Page : 479 pages
File Size : 45,8 Mb
Release : 2018-12-29
Category : Philosophy
ISBN : 9783319983462

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Pluralisms in Truth and Logic by Jeremy Wyatt,Nikolaj J. L. L. Pedersen,Nathan Kellen Pdf

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.

Author : Massimiliano Carrara,Alexandra Arapinis,Friederike Moltmann
Publisher : Oxford University Press
Page : 256 pages
File Size : 50,7 Mb
Release : 2016-03-18
Category : Philosophy
ISBN : 9780191025624

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Unity and Plurality by Massimiliano Carrara,Alexandra Arapinis,Friederike Moltmann Pdf

Unity and Plurality presents novel ways of thinking about plurality while casting new light on the interconnections among the logical, philosophical, and linguistic aspects of plurals. The volume brings together new work on the logic and ontology of plurality and on the semantics of plurals in natural language. Plural reference, the view that definite plurals such as 'the students' refer to several entities at once (the individual students), is an approach favoured by logicians and philosophers, who take sentences with plurals ('the students gathered') not to be committed to entities beyond individuals, entities such as classes, sums, or sets. By contrast, linguistic semantics has been dominated by a singularist approach to plurals, taking the semantic value of a definite plural such as 'the students' to be a mereological sum or set. Moreover, semantics has been dominated by a particular ontological view of plurality, that of extensional mereology. This volume aims to build a bridge between the two traditions and to show the fruitfulness of nonstandard mereological approaches. A team of leading experts investigates new perspectives that arise from plural logic and non-standard mereology and explore novel applications to natural language phenomena.

Author : Stewart Shapiro
Publisher : Unknown
Page : 235 pages
File Size : 41,7 Mb
Release : 2014
Category : Logic
ISBN : 9780199696529

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Varieties of Logic by Stewart Shapiro Pdf

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.

Author : Robert Hanna
Publisher : MIT Press
Page : 341 pages
File Size : 51,7 Mb
Release : 2009-01-23
Category : Philosophy
ISBN : 9780262263115

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Rationality and Logic by Robert Hanna Pdf

An argument that logic is intrinsically psychological and human psychology is intrinsically logical, and that the connection between human rationality and logic is both constitutive and mutual. In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals (including humans) and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all (and only) rational animals possess an innate cognitive "logic faculty." Hanna's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- or individual-specific focus of empirical psychology.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism—the explanatory reduction of logic to empirical psychology. Hanna argues, however, that—despite the fact that logical psychologism is false—there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself.

Author : David Lewis
Publisher : Wiley-Blackwell
Page : 288 pages
File Size : 40,8 Mb
Release : 2001-02-08
Category : Philosophy
ISBN : 0631224262

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On the Plurality of Worlds by David Lewis Pdf

This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

Author : Salvatore Florio,Øystein Linnebo
Publisher : Oxford University Press
Page : 256 pages
File Size : 50,6 Mb
Release : 2021-07-22
Category : Philosophy
ISBN : 9780192509161

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The Many and the One by Salvatore Florio,Øystein Linnebo Pdf

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.

Author : Greg Restall
Publisher : Routledge
Page : 186 pages
File Size : 45,5 Mb
Release : 2005
Category : Logic
ISBN : 9781134145997

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Logic by Greg Restall Pdf

Author : Sophie Loidolt
Publisher : Routledge
Page : 287 pages
File Size : 50,7 Mb
Release : 2017-09-22
Category : Philosophy
ISBN : 9781351804028

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Phenomenology of Plurality by Sophie Loidolt Pdf

Winner of the 2018 Edwin Ballard Prize awarded by the Center for Advanced Research in Phenomenology This book develops a unique phenomenology of plurality by introducing Hannah Arendt’s work into current debates taking place in the phenomenological tradition. Loidolt offers a systematic treatment of plurality that unites the fields of phenomenology, political theory, social ontology, and Arendt studies to offer new perspectives on key concepts such as intersubjectivity, selfhood, personhood, sociality, community, and conceptions of the "we." Phenomenology of Plurality is an in-depth, phenomenological analysis of Arendt that represents a viable third way between the "modernist" and "postmodernist" camps in Arendt scholarship. It also introduces a number of political and ethical insights that can be drawn from a phenomenology of plurality. This book will appeal to scholars interested in the topics of plurality and intersubjectivity within phenomenology, existentialism, political philosophy, ethics, and feminist philosophy.

Author : Byeong-uk Yi
Publisher : Routledge
Page : 140 pages
File Size : 50,5 Mb
Release : 2014-10-03
Category : Philosophy
ISBN : 9781136713927

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Understanding the Many by Byeong-uk Yi Pdf

First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Author : Salvatore Florio,Øystein Linnebo
Publisher : Oxford University Press
Page : 329 pages
File Size : 44,8 Mb
Release : 2021
Category : Philosophy
ISBN : 9780198791522

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The Many and the One by Salvatore Florio,Øystein Linnebo Pdf

Plural logic 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? The result is a more nuanced picture of plural logic's applications than has been given thus far.