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Truth in Mathematics: (Oxford Science Publications)

Truth in Mathematics: (Oxford Science Publications)

          
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About the Book

The nature of truth in mathematics is a problem which has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth centuryand in particular the proof of Gödel's theorem and the development of the notion of independence in mathematicshave led to new viewpoints on this question in our era. This book is the result of the interaction of a number of outstanding mathematicians and philosophersincluding Yurii Manin, Vaughan Jones, and Per Martin-Löfand their discussions of this problem. It provides an overview of the forefront of current thinking, and is a valuable introduction and reference for researchers in the area.

Table of Contents:
1. Truth and the foundations of mathematics. An introduction ; 2. Truth and obvjectivity from a verificationist point of view ; 3. Constructive truth in practice ; 4. On founding the theory of algorithms ; 5. Truth and knowability: on the principles of C and K of Michael Dummett ; 6. Logical completeness, truth, and proofs ; 7. Mathematics as a language ; 8. Truth, rigour, and common sense ; 9. How to be a naturalist about mathematics ; 10. The mathematician as a formalist ; 11. A credo of sorts ; 12. Mathematical evidence ; 13. Mathematical definability ; 14. True to the pattern ; 15. Foundations of set theory ; 16. Which undecidable mathematical sentences have determinate truth values? ; 17. Two conceptions of natural number ; 18. The tower of Hanoi


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Product Details
  • ISBN-13: 9780198514763
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Height: 241 mm
  • No of Pages: 392
  • Series Title: Oxford Science Publications
  • Weight: 729 gr
  • ISBN-10: 019851476X
  • Publisher Date: 15 Oct 1998
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 25 mm
  • Width: 163 mm


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