Mathematical intuitionism

著者

    • Posy, Carl J.

書誌事項

Mathematical intuitionism

Carl J. Posy

(Cambridge elements, . Elements in philosophy of mathematics)

Cambridge University Press, 2020

  • : pbk

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注記

Includes bibliographical references (p. [100]-107)

内容説明・目次

内容説明

L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism - from elementary number theory through to Brouwer's uniform continuity theorem - and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.

目次

  • 1. Introduction: three faces of intuitionism
  • 2. The mathematical face of intuitionism
  • 3. Formalized intuitionism
  • 4. The intuitionistic standpoint
  • Afterword
  • Acknowledgements
  • Bibliography.

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詳細情報

  • NII書誌ID(NCID)
    BC03191898
  • ISBN
    • 9781108723022
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    107 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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