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Jaroslav Peregrin - Reflective Equilibrium and the Principles of Logical Analysis: Understanding the Laws of Logic

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Jaroslav Peregrin Reflective Equilibrium and the Principles of Logical Analysis: Understanding the Laws of Logic
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This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing the laws of thought. In this sense, fundamental logical laws are implicit to our language games and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as inferential landscapes and logicians as geographers who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language.

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First published 2017

by Routledge

711 Third Avenue, New York, NY 10017

and by Routledge

2 Park Square, Milton Park, Abingdon, Oxon OX14 4RN

Routledge is an imprint of the Taylor & Francis Group, an informa business

2017 Taylor & Francis

The right of Jaroslav Peregrin and Vladimr Svoboda to be identified as authors of this work has been asserted by them in accordance with sections 77 and 78 of the Copyright, Designs and Patents Act 1988.

All rights reserved. No part of this book may be reprinted or reproduced or utilized in any form or by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying and recording, or in any information storage or retrieval system, without permission in writing from the publishers.

Trademark notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe.

Library of Congress Cataloging-in-Publication Data

Names: Peregrin, Jaroslav, author. | Svoboda, Vladimir, 1960 author.

Title: Reflective equilibrium and the principles of logical analysis :

understanding the laws of logic / by Jaroslav Peregrin and

Vladimir Svoboda.

Description: New York : Routledge, [2017] | Series: Routledge

studies in contemporary philosophy ; 90 | Includes bibliographical

references and index.

Identifiers: LCCN 2016043194 | ISBN 9781138210967 (hardback : alk. paper)

Subjects: LCSH: Logic.

Classification: LCC BC71 .P47 2017 | DDC 160dc23

LC record available at https://lccn.loc.gov/2016043194

ISBN: 978-1-138-21096-7 (hbk)

ISBN: 978-1-315-45393-4 (ebk)

Typeset in Sabon

by Apex CoVantage, LLC

a priori abstraction algebra universal ambiguity analyticsynthetic - photo 1

a priori ,

abstraction,

algebra, universal,

ambiguity,

analytic/synthetic distinction,

anaphora,

argument. see also

analytically correct,

analytically incorrect,

correct,

fallacious,

formally correct,

incorrect,

logically correct,

logically incorrect,

perspicuous,

reference,

sound,

status quo correct,

status quo incorrect,

argumentation,

arithmetic. see

asymmetry thesis,

attitude, normative,

axiom,

bivalence,

bootstrapping,

calculus,

predicate,

propositional,

chess. see

communication,

competence,

grammatical,

inferential,

compositionality,

computer science,

conditional,

conjunction,

constant,

extralogical,

logical,

contradiction,

criteria

of argument correctness,

of correct formalization,

of delmiting logical expressions,

of logical analysis,

equilibrium, reflective,

ethics,

event,

extension,

extensionality,

form

grammatical,

logical,

of argument,

of thought,

super-invalid,

surface,

valid,

vs. function,

vs. structure,

formalization,

game of giving and asking for reasons,

grammar,

imperative,

implication,

material,

indexical,

individual,

inferentialism,

intension,

interpretation,

intuition,

landscape, inferential,

language

artificial,

formal,

formalized,

hybrid,

logical,

natural,

of CPL,

language faculty,

language game,

law

of excluded middle,

of logic,

of nature,

of physics,

of truth,

linguistics,

logic

classical,

epistemic,

erotetic,

imperative,

intensional,

intuitionistic,

modal,

relevant,

mathematics,

meaning,

use theories of,

meaning postulate,

metalanguage,

metarule,

modality,

model theory,

modus ponens ,

naturalism,

negation,

neighbour, inferential,

parameter,

paraphrase,

Peano arithmetic,

perspective

atomistic vs. holistic,

internal vs. external,

Platonism,

pragmatism,

principle

of ambitiousness,

of parsimony,

of reliability,

of tolerance,

of transparency,

proof theory,

proposition,

proto-logic,

psychologism,

psychology,

quantification,

quantifier,

generalized,

reason. see

reasoning,

regimentation,

role, inferential,

rule

formation,

of argumentation,

of deduction,

of grammar,

of chess,

of inference,

of language,

of logic,

of reasoning,

strategic vs. constitutive,

structural,

syntactic,

transformation,

science,

empirical,

natural,

scope, intended,

semantic self-consciousness,

semantics,

generative,

proof-theoretic,

sociology,

structure

abstract,

deep,

grammatical,

holistic,

inferential,

logical,

of sentence,

of the world,

sentential,

surface,

syntactic,

syntax,

system

axiomatic,

grammatical,

logical,

of signs,

tautology,

tertium non datur,

translation,

truth,

analytic,

conceptual,

logical,

theories of,

truth bearer,

truth conditions,

truth preservation,

truth table,

truth value,

universe

of discourse,

of situations,

variable,

world, possible,

Routledge Studies in Contemporary Philosophy

For a full list of titles in this series, please visit www.routledge.com

82 The Epistemological Skyhook

Determinism, Naturalism, and Self-Defeat

Jim Slagle

83 Time and the Philosophy of Action

Edited by Roman Altshuler and Michael J. Sigrist

84 McTaggarts Paradox

R. D. Ingthorsson

85 Perspectives on Ignorance from Moral and Social Philosophy

Edited by Rik Peels

86 Self-Reflection for the Opaque Mind

An Essay in Neo-Sellarsian Philosophy

T. Parent

87 Facts and Values

The Ethics and Metaphysics of Normativity

Edited by Giancarlo Marchetti and Sarin Marchetti

88 Aesthetic Disinterestedness

Art, Experience, and the Self

Thomas Hilgers

89 The Social Contexts of Intellectual Virtue

Knowledge as a Team Achievement

Adam Green

90 Reflective Equilibrium and the Principles of Logical Analysis

Understanding the Laws of Logic

Jaroslav Peregrin and Vladimr Svoboda

Contents

Some parts of the book have been built on already published material. The chapters addressing the criteria of logical analysis and the reflective equilibrium have incorporated parts of our papers Criteria for logical formalization ( Synthese 190, 2013, 28972924) and Logical formalization and the formation of logic(s) ( Logique et Analyse 233, 2016, 5580), while partly overlaps with our paper Logically incorrect arguments ( Argumentation 30, 2016, 263287). Some of the arguments and examples presented here appeared in the Czech book Od jazyka k logice ( From language to logic ), which was published by Academia, Praha, 2009. We are grateful to Pavel Arazim, Georg Brun, Matej Drobk, Ulf Hlobil, Ansten Klev, Radek Ocelk, Vt Punoch, and Hans Rott for valuable critical comments to previous versions of the books manuscript. Greg Evans did, in our view, a great job proofreading the book as well as minimizing appearances of Czechisms. We are also grateful to the Institute of Philosophy of the Czech Academy of Sciences which provided excellent conditions for our research during the period when we worked on this book. The preparation of the book was supported by the research grant No. 13-21076S of the Czech Science Foundation.

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