数学哲学Andrew Irvine、Dov M.Gabbay、Paul Thagard、John Woods【简介_书评_在线阅读-pdf mobi epub]

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数学哲学Andrew Irvine、Dov M.Gabbay、Paul Thagard、John Woods【简介_书评_在线阅读-pdf mobi epub]

Philosophy of mathematics Andrew Irvine, Dov M. Gabbay, Paul Thagard, John Woods【简介_书评_在线阅读-pdf mobi epub】中英文

图书信息

  • 种类: Science (General)
  • 年: 2009
  • 出版社: Elsevier
  • 语言: english
  • 页: 733 / 718
  • ISBN 10: 0444515550
  • ISBN 13: 9780444515551
  • 系列: Handbook of the Philosophy of Science
  • 文件: PDF, 35.61 MB
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    Philosophy of mathematics

    作者:Andrew Irvine, Dov M. Gabbay, Paul Thagard, John Woods


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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, 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

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