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In the Light of Logic Solomon Feferman (Professor of Philosophy and Mathematics, Professor of Philosophy and Mathematics, Stanford University)

In the Light of Logic By Solomon Feferman (Professor of Philosophy and Mathematics, Professor of Philosophy and Mathematics, Stanford University)

In the Light of Logic by Solomon Feferman (Professor of Philosophy and Mathematics, Professor of Philosophy and Mathematics, Stanford University)

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Summary

This volume brings together a selection of Solomon Feferman's most important recent writings, covering the relation between logic and mathematics, proof theory, objectivity and intensionality in mathematics, and key issues in the work of Goedel, Hilbert, and Turing.

In the Light of Logic Summary

In the Light of Logic by Solomon Feferman (Professor of Philosophy and Mathematics, Professor of Philosophy and Mathematics, Stanford University)

Solomon Feferman is one of the leading figures in the philosophy of mathematics. This volume brings together a selection of his most important recent writings, covering the relation between logic and mathematics, proof theory, objectivity and intentionality in mathematics, and key issues in the work of Goedel, Hilbert, and Turing. A number of the papers appeared originally in obscure places and are not well-known, and others are published here for the first time. All of the material has been revised and annotated to bring it up to date.

In the Light of Logic Reviews

an outstanding collection, highly informative, sometimes provocative, often insightful, and throughout displaying the great clarity and command which are hallmarks of the author's writing. * Geoffrey Hellman, Philosophia Mathematica, Vol. 9, No. 2, 2001 *
Feferman's book shows that, far from being over, work on the foundations of mathematics is vibrant and continuing, perched deliciously but precariously between mathematics and philosophy. * The Mathematical Intelligencer *

Table of Contents

I: FOUNDATIONAL PROBLEMS ; 1. Declining the undecidable: Wrestling with Hilbert's Problems ; 2. Infinity in Mathematics: Is Cantor necessary? ; 3. The logic of mathematical discovery vs. the logical structure of mathematics ; II: FOUNDATIONAL WAYS ; 4. Foundational Ways ; 5. Working Foundations ; III: GODEL ; 6. Godel's life and work ; 7. Kurt Godel: conviction and caution ; 8. Introductory note to Godel's 1993 lecture ; IV: PROOF THEORY ; 9. What does logic have to tell us about mathematical proofs? ; 10. What rests on what? The proof-theoretic analysis of mathematics ; 11. Godel's Dialectica interpretation and its two-way stretch ; V: COUNTABLY REDUCIBLE MATHEMATICS ; 12. Infinity in mathematics: Is Cantor necessary? (Conclusion) ; 13. Weyl vindicated: Das Kontinuum 70 years later ; 14. Why a little bit goes a long way: Logical Foundations of scientifically applicable mathematics

Additional information

NPB9780195080308
9780195080308
0195080300
In the Light of Logic by Solomon Feferman (Professor of Philosophy and Mathematics, Professor of Philosophy and Mathematics, Stanford University)
Solomon Feferman (Professor of Philosophy and Mathematics, Professor of Philosophy and Mathematics, Stanford University)
Logic and Computation in Philosophy Series
New
Hardback
Oxford University Press Inc
1999-01-07
352
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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