Constructibility and mathematical existence

著者

• Chihara, Charles S.

書誌事項

Constructibility and mathematical existence

Charles S. Chihara

（Clarendon paperbacks）

Clarendon Press , Oxford University Press, 1991, c1990

注記

Includes bibliographical references (p. [273]-278) and index

内容説明・目次

内容説明

This book is concerned with `the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach through an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.

目次

• PART I: THE CONSTRUCTIBILITY THEORY: The Problem of Existence in Mathematics
• The Constructibility Quantifiers
• Constructibility and Open-Sentences
• The Deductive System
• Cardinality and Number Theory
• Measurable Quantities and Analysis. PART II: PHILOSOPHICAL DEVELOPMENTS: Mathematical Structuralism
• Science Without Numbers
• Why Burgess is a Moderate Realist
• Maddy's Solution to the Problem of Reference
• Kitcher's Ideal Agents
• Deflationism and Mathematical Truth. Appendix
• Field's Nominalistic Logical Theory.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA12923879
• ISBN:
  • 0198239750
• 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: Oxford,New York
• ページ数/冊数: xv, 282 p.
• 大きさ: 22 cm
• 分類:
  • LCC : QA8.4
  • DC20 : 511
• 件名:
  • LCSH : Mathematics -- Philosophy
  • LCSH : Constructive mathematics
  • LCSH : Logic, Symbolic and mathematical
• 親書誌ID:
  • BA07221817