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The Oxford Handbook of Philosophy of Mathematics and Logic

Author	: Stewart Shapiro
Publisher	: OUP USA
Release Date	: 2005-02-10
ISBN 10	: 9780195148770
Pages	: 833 pages
Rating	: 4.1/5 (951 users)

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Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by Stewart Shapiro and published by OUP USA. This book was released on 2005-02-10 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.

The Oxford Handbook of Philosophy of Mathematics and Logic

Author	:
Publisher	:
Release Date	: 2005
ISBN 10	: OCLC:1090135979
Pages	: 833 pages
Rating	: 4.:/5 (19 users)

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Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by and published by . This book was released on 2005 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of American Philosophy

Author	: Cheryl Misak
Publisher	: Oxford University Press
Release Date	: 2008-09-25
ISBN 10	: 9780191551284
Pages	: pages
Rating	: 4.1/5 (915 users)

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Download or read book The Oxford Handbook of American Philosophy written by Cheryl Misak and published by Oxford University Press. This book was released on 2008-09-25 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Cheryl Misak presents the first collective study of the development of philosophy in North America, from the 18th century to the end of the 20th century. Twenty-six leading experts examine distinctive features of American philosophy, trace notable themes, and consider the legacy and influence of notable figures. This will be the first reference point for future work on the subject, and a fascinating resource for anyone interested in modern philosophy or American intellectual history.

Pluralism in Mathematics A New Position in Philosophy of Mathematics

Author	: Michèle Friend
Publisher	: Springer Science & Business Media
Release Date	: 2013-11-20
ISBN 10	: 9789400770584
Pages	: 291 pages
Rating	: 4.4/5 (7 users)

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Download or read book Pluralism in Mathematics A New Position in Philosophy of Mathematics written by Michèle Friend and published by Springer Science & Business Media. This book was released on 2013-11-20 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy’s Naturalism, Shapiro’s Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a strong warning to treat the word ‘pluralism’ with care.

The Oxford Handbook of The History of Analytic Philosophy

Author	: Michael Beaney
Publisher	: OUP Oxford
Release Date	: 2013-06-20
ISBN 10	: 9780191662669
Pages	: 1184 pages
Rating	: 4.1/5 (916 users)

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Download or read book The Oxford Handbook of The History of Analytic Philosophy written by Michael Beaney and published by OUP Oxford. This book was released on 2013-06-20 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the course of the twentieth century, analytic philosophy developed into the dominant philosophical tradition in the English-speaking world. In the last two decades, it has become increasingly influential in the rest of the world, from continental Europe to Latin America and Asia. At the same time there has been deepening interest in the origins and history of analytic philosophy, as analytic philosophers examine the foundations of their tradition and question many of the assumptions of their predecessors. This has led to greater historical self-consciousness among analytic philosophers and more scholarly work on the historical contexts in which analytic philosophy developed. This historical turn in analytic philosophy has been gathering pace since the 1990s, and the present volume is the most comprehensive collection of essays to date on the history of analytic philosophy. It contains state-of-the-art contributions from many of the leading scholars in the field, all of the contributions specially commissioned. The introductory essays discuss the nature and historiography of analytic philosophy, accompanied by a detailed chronology and bibliography. Part One elucidates the origins of analytic philosophy, with special emphasis on the work of Frege, Russell, Moore, and Wittgenstein. Part Two explains the development of analytic philosophy, from Oxford realism and logical positivism to the most recent work in analytic philosophy, and includes essays on ethics, aesthetics, and political philosophy as well as on the areas usually seen as central to analytic philosophy, such as philosophy of language and mind. Part Three explores certain key themes in the history of analytic philosophy.

The Oxford Handbook of Wittgenstein

Author	: Oskari Kuusela
Publisher	: Oxford University Press
Release Date	: 2011-10-27
ISBN 10	: 9780199287505
Pages	: 824 pages
Rating	: 4.1/5 (992 users)

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Download or read book The Oxford Handbook of Wittgenstein written by Oskari Kuusela and published by Oxford University Press. This book was released on 2011-10-27 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the middle of the 20th century Ludwig Wittgenstein has been an exceptionally influential and controversial figure wherever philosophy is studied. This is a comprehensive volume on Wittgenstein where 35 scholars explore the whole range of his thought, offering critical engagement and original interpretation.

Introducing Philosophy of Mathematics

Author	: Michele Friend
Publisher	: Routledge
Release Date	: 2014-12-05
ISBN 10	: 9781317493792
Pages	: 240 pages
Rating	: 4.3/5 (174 users)

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Download or read book Introducing Philosophy of Mathematics written by Michele Friend and published by Routledge. This book was released on 2014-12-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.

God and Abstract Objects

Author	: William Lane Craig
Publisher	: Springer
Release Date	: 2017-09-05
ISBN 10	: 9783319553849
Pages	: 540 pages
Rating	: 4.3/5 (195 users)

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Download or read book God and Abstract Objects written by William Lane Craig and published by Springer. This book was released on 2017-09-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options available to the classical theist for dealing with the challenge of Platonism. It probes in detail the diverse views on the reality of abstract objects and their compatibility with classical theism. It contains a most thorough discussion, rooted in careful exegesis, of the biblical and patristic basis of the doctrine of divine aseity. Finally, it challenges the influential Quinean metaontological theses concerning the way in which we make ontological commitments.

Philosophy of Mathematics

Author	: David Bostock
Publisher	: John Wiley & Sons
Release Date	: 2009-03-09
ISBN 10	: 9781405189927
Pages	: 332 pages
Rating	: 4.4/5 (51 users)

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Download or read book Philosophy of Mathematics written by David Bostock and published by John Wiley & Sons. This book was released on 2009-03-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author?s personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals

Philosophers Look at Quantum Mechanics

Author	: Alberto Cordero
Publisher	: Springer
Release Date	: 2019-08-13
ISBN 10	: 9783030156596
Pages	: 312 pages
Rating	: 4.0/5 (31 users)

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Download or read book Philosophers Look at Quantum Mechanics written by Alberto Cordero and published by Springer. This book was released on 2019-08-13 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume explores the philosophical implications of quantum mechanics. It features papers from venues of the International Ontology Congress (IOC) up to 2016. IOC is a worldwide platform for dialogue and reflection on the interactions between science and philosophy. The collection features philosophers as well as physicists, including David Albert, Harvey Brown, Jeffrey Bub, Otávio Bueno, James Cushing, Steven French, Victor Gomez-Pin, Carl Hoefer, Simon Kochen, Peter Lewis, Tim Maudlin, Peter Mittlestatedt, Roland Omnès, Juha Saatsi, Albert Solé, David Wallace, and Anton Zeilinger. Since the early days of quantum mechanics, philosophers have studied the subject with growing technical skill and fruitfulness. Their efforts have unveiled intellectual bridges between physics and philosophy. These connections have helped fuel the contemporary debate about the scope and limits of realism and understanding in the interpretation of physical theories and scientific theories in general. The philosophical analysis of quantum mechanics is now one of the most sophisticated and productive areas in contemporary philosophy, as the papers in this collection illustrate.

The Blackwell Companion to Naturalism

Author	: Kelly James Clark
Publisher	: John Wiley & Sons
Release Date	: 2015-12-23
ISBN 10	: 9781118657782
Pages	: 552 pages
Rating	: 4.1/5 (186 users)

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Download or read book The Blackwell Companion to Naturalism written by Kelly James Clark and published by John Wiley & Sons. This book was released on 2015-12-23 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Blackwell Companion to Naturalism provides a systematic introduction to philosophical naturalism and its relation to other schools of thought. Features contributions from an international array of established and emerging scholars from across the humanities Explores the historical development of naturalism and its ascension to the dominant orthodoxy in the Western academy Juxtaposes theoretical criticisms with impassioned defenses, encapsulating contemporary debates on naturalism Includes discussions of metaphysics, realism, feminism, science, knowledge, truth, mathematics, free will, and ethics viewed through a naturalist lens

A Companion to Wittgenstein

Author	: Hans-Johann Glock
Publisher	: John Wiley & Sons
Release Date	: 2017-01-30
ISBN 10	: 9781118641163
Pages	: 808 pages
Rating	: 4.1/5 (186 users)

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Download or read book A Companion to Wittgenstein written by Hans-Johann Glock and published by John Wiley & Sons. This book was released on 2017-01-30 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: A COMPANION TO WITTGENSTEIN The most comprehensive survey of Wittgenstein’s thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell Companions to Philosophy series. Full of penetrating insights into the life and work of the most important philosopher of the twentieth century, the collection explores the full range of Wittgenstein’s contribution to philosophy. It includes essays on his intellectual development, his work in logic and mathematics, philosophy of language, philosophy of mind and action, epistemology, ethics, philosophy of religion, and much else. As well as examining Wittgenstein’s contribution to human understanding in detail, the Companion features vital contextual analysis that traces the relationship between his ideas and those of other philosophers and schools of thought, including the Aristotelian and continental philosophical traditions. Authors also address prominent themes that remain current in today’s philosophical debates, explaining Wittgenstein’s continuing legacy alongside his historical significance. Essential reading for scholars of philosophy at all levels, A Companion to Wittgenstein combines engaging commentary with unrivaled academic authority.

Logical Foundations of Mathematics and Computational Complexity

Author	: Pavel Pudlák
Publisher	: Springer Science & Business Media
Release Date	: 2013-04-22
ISBN 10	: 9783319001197
Pages	: 695 pages
Rating	: 4.3/5 (19 users)

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Download or read book Logical Foundations of Mathematics and Computational Complexity written by Pavel Pudlák and published by Springer Science & Business Media. This book was released on 2013-04-22 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.

Mathesis Universalis Computability and Proof

Author	: Stefania Centrone
Publisher	: Springer Nature
Release Date	: 2019-10-25
ISBN 10	: 9783030204471
Pages	: 374 pages
Rating	: 4.0/5 (32 users)

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Download or read book Mathesis Universalis Computability and Proof written by Stefania Centrone and published by Springer Nature. This book was released on 2019-10-25 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between “arbitrary objects” (“objets quelconques”). It is an abstract theory of combinations and relations among objects whatsoever. In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the “reasons” (“Gründe”) of others, and the latter are “consequences” (“Folgen”) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory. The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.

Quantifiers Quantifiers and Quantifiers Themes in Logic Metaphysics and Language

Author	: Alessandro Torza
Publisher	: Springer
Release Date	: 2015-07-23
ISBN 10	: 9783319183626
Pages	: 526 pages
Rating	: 4.3/5 (191 users)

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Download or read book Quantifiers Quantifiers and Quantifiers Themes in Logic Metaphysics and Language written by Alessandro Torza and published by Springer. This book was released on 2015-07-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology and even the history of philosophy. It discusses the import of quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap. The volume further examines what it means that a quantifier can have multiple meanings and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts.

Philosophical Logic

Author	: John MacFarlane
Publisher	: Routledge
Release Date	: 2020-11-29
ISBN 10	: 9781351733557
Pages	: 258 pages
Rating	: 4.3/5 (517 users)

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Download or read book Philosophical Logic written by John MacFarlane and published by Routledge. This book was released on 2020-11-29 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course. The book explores the following questions. Are there quantificational idioms that cannot be expressed with the familiar universal and existential quantifiers? How can logic be extended to capture modal notions like necessity and obligation? Does the material conditional adequately capture the meaning of 'if'—and if not, what are the alternatives? Should logical consequence be understood in terms of models or in terms of proofs? Can one intelligibly question the validity of basic logical principles like Modus Ponens or Double Negation Elimination? Is the fact that classical logic validates the inference from a contradiction to anything a flaw, and if so, how can logic be modified to repair it? How, exactly, is logic related to reasoning? Must classical logic be revised in order to be applied to vague language, and if so how? Each chapter is organized around suggested readings and includes exercises designed to deepen the reader's understanding. Key Features: An integrated treatment of the technical and philosophical issues comprising philosophical logic Designed to serve students taking only one course in logic beyond the introductory level Provides tools and concepts necessary to understand work in many areas of analytic philosophy Includes exercises, suggested readings, and suggestions for further exploration in each chapter

Classical First Order Logic

Author	: Stewart Shapiro
Publisher	: Cambridge University Press
Release Date	: 2022-05-31
ISBN 10	: 9781108991520
Pages	: pages
Rating	: 4.1/5 (89 users)

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Download or read book Classical First Order Logic written by Stewart Shapiro and published by Cambridge University Press. This book was released on 2022-05-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: One is often said to be reasoning well when they are reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is first-order classical logic. This Element will examine the basics of first-order classical logic and discuss some surrounding philosophical issues. The first half of the Element develops a language for the system, as well as a proof theory and model theory. The authors provide theorems about the system they developed, such as unique readability and the Lindenbaum lemma. They also discuss the meta-theory for the system, and provide several results there, including proving soundness and completeness theorems. The second half of the Element compares first-order classical logic to other systems: classical higher order logic, intuitionistic logic, and several paraconsistent logics which reject the law of ex falso quodlibet.