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The Philosophy of Mathematics Today H 652 p. 98

Schirn, Matthias 　編

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発行年月	1998年08月
出版社／提供元	Oxford University Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	652 p., numerous diagrams
ジャンル	洋書／人文科学／哲学・思想／哲学：概論
ISBN	9780198236542
商品コード	0209747143
本の性格	学術書
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209747143

内容

The Philosophy of Mathematics Today gives a panorama of the best current work in this lively field, through twenty essays specially written for this collection by leading figures. The topics include indeterminacy, logical consequence, mathematical methodology, abstraction, and both Hilbert's and Frege's foundational programmes. The collection will be an important source for research in the philosophy of mathematics for years to come. Contributors Paul Benacerraf, George Boolos, John P. Burgess, Charles S. Chihara, Michael Detlefsen, Michael Dummett, Hartry Field, Kit Fine, Bob Hale, Richard G. Heck, Jnr., Geoffrey Hellman, Penelope Maddy, Karl-Georg Niebergall, Charles D. Parsons, Michael D. Resnik, Matthias Schirn, Stewart Shapiro, Peter Simons, W.W. Tait, Crispin Wright.

Introduction; PART I: ONTOLOGY, MODELS, AND INDETERMINACY; 1. WhatMathematical Truth Could Not Be--1; 2. Iis Platonism EpistemologicallyBankrupt?; 3. Do We Have a Determinate Conception of Finiteness and NaturalNumber?; 4. Logical Consequence: Models and Modality; 5. Tarski's Thesis andthe Ontology of Mathematics; PART II: MATHEMATICS, SCIENCE, AND METHOD; 6.Naturalizing Mathematical Methodology; 7 Occam's Razor and Scientific Method;8. Beyond Definitionism - But Not Too Far Beyond; 9. Holistic Mathematics;PART III: FINITISM AND INTUITIONISM; 10. Finitism and Intuitive Knowledge;11. Hilbert's Finitism and the Notion of Infinity; 12. Constructive ExistenceClaims; PART IV: FREGE AND THE FOUNDATIONS OF ARITHMETIC; 13. On the HarmlessImpredicativity of N= ('Hume's Principle'); 14. Neo-Fregeans: In BadCompany?; 15. Response to Dummett; 16. Die Grundlagen der Arithmetik, 82-3;17. The Finite and the Infinite in Frege's Grundgesetze der Arithmetik; PARTV: SETS, STRUCTURE, AND ABSTRACTION; 18. Zermelo's Conception of Set Theoryand Reflection Principles; 19. Structure and Abstraction; 20. The Limits ofAbstraction; Index

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