Philosophy of Mathematics (Handbook of the Philosophy of Science)

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9780444515551: Philosophy of Mathematics (Handbook of the Philosophy of Science)
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One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries, a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, and Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, and paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics. Features of this title include: comprehensive coverage of all main theories in the philosophy of mathematics; clearly written expositions of fundamental ideas and concepts; and, definitive discussions by leading researchers in the field. Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, and paraconsistency) are also included.

About the Author:

Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.

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Irvine, Andrew
Editorial: Oxford Elsevier LTD Jun 2009 (2009)
ISBN 10: 0444515550 ISBN 13: 9780444515551
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Descripción Oxford Elsevier LTD Jun 2009, 2009. Buch. Estado de conservación: Neu. 244x173x38 mm. Neuware - One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind Are they objectively existing objects in some non-physical, mathematical realm Are they ideas that are present only in the mind Or do mathematical truths not involve referents of any kind 733 pp. Englisch. Nº de ref. de la librería 9780444515551

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Irvine, Andrew
Editorial: ELSEVIER SCIENCE TECHNOLOGY, United States (2009)
ISBN 10: 0444515550 ISBN 13: 9780444515551
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Descripción ELSEVIER SCIENCE TECHNOLOGY, United States, 2009. Hardback. Estado de conservación: New. 242 x 170 mm. Language: English . Brand New Book. One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics. -Comprehensive coverage of all main theories in the philosophy of mathematics -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included. Nº de ref. de la librería AA59780444515551

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Descripción Oxford Elsevier LTD Jun 2009, 2009. Buch. Estado de conservación: Neu. 244x173x38 mm. Neuware - One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind Are they objectively existing objects in some non-physical, mathematical realm Are they ideas that are present only in the mind Or do mathematical truths not involve referents of any kind 733 pp. Englisch. Nº de ref. de la librería 9780444515551

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Descripción Oxford Elsevier LTD Jun 2009, 2009. Buch. Estado de conservación: Neu. 244x173x38 mm. Neuware - One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind Are they objectively existing objects in some non-physical, mathematical realm Are they ideas that are present only in the mind Or do mathematical truths not involve referents of any kind 733 pp. Englisch. Nº de ref. de la librería 9780444515551

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Descripción ELSEVIER SCIENCE TECHNOLOGY, United States, 2009. Hardback. Estado de conservación: New. 242 x 170 mm. Language: English . Brand New Book. One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics. Nº de ref. de la librería AA59780444515551

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Descripción Elsevier Ltd, Oxford, 2009. Estado de conservación: New. Nº de ref. de la librería L9780444515551

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Descripción North Holland, 2009. Hardback. Estado de conservación: NEW. 9780444515551 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01202016

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Descripción North Holland, 2009. Hardback. Estado de conservación: NEW. 9780444515551 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0896652

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Descripción Oxford Elsevier LTD Jun 2009, 2009. Buch. Estado de conservación: Neu. 244x173x38 mm. Neuware - One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind Are they objectively existing objects in some non-physical, mathematical realm Are they ideas that are present only in the mind Or do mathematical truths not involve referents of any kind 733 pp. Englisch. Nº de ref. de la librería 9780444515551

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Descripción North Holland, 2009. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0444515550

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