Pub. Date:
Cambridge University Press
Philosophy of Mathematics: Selected Readings / Edition 2

Philosophy of Mathematics: Selected Readings / Edition 2

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Product Details

ISBN-13: 9780521296489
Publisher: Cambridge University Press
Publication date: 10/28/2004
Edition description: Second Edition
Pages: 600
Product dimensions: 5.98(w) x 8.98(h) x 1.54(d)

Table of Contents

Preface to the second edition; Introduction; Part I. The Foundations of Mathematics: 1. The logicist foundations of mathematics Rudolf Carnap; 2. The intuitionist foundations of mathematics Arend Heyting; 3. The formalist foundations of mathematics Johann von Neumann; 4. Disputation Arend Heyting; 5. Intuitionism and formalism L. E. J. Brouwer; 6. Consciousness, philosophy, and mathematics L. E. J. Brouwer; 7. The philosophical basis of intuitionistic logic Michael Dummett; 8. The concept of number Gottlob Frege; 9. Selections from Introduction to Mathematical Philosophy Bertrand Russell; 10. On the infinite David Hilbert; 11. Remarks on the definition and nature of mathematics Haskell B. Curry; 12. Hilbert's programme Georg Kreisel; Part II. The Existence of Mathematical Objects: 13. Empiricism, semantics, and ontology Rudolf Carnap; 14. On Platonism in mathematics Paul Bernays; 15. What numbers could not be Paul Benacerraf; 16. Mathematics without foundations Hilary Putnam; Part III. Mathematical Truth: 17. The a priori Alfred Jules Ayer; 18. Truth by convention W. V. Quine; 19. On the nature of mathematical truth Carl G. Hempel; 20. On the nature of mathematical reasoning Henri Poincaré; 21. Mathematical truth Paul Benacerraf; 22. Models and reality Hilary Putnam; Part IV. The Concept of Set: 23. Russell's mathematical logic Kurt Gödel; 24. What in Cantor's continuum problem? Kurt Gödel; 25. The iterative concept of set George Boolos; 26. The concept of set Hao Wang; Bibliography.

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Philosophy of Mathematics: Selected Readings 5 out of 5 based on 0 ratings. 1 reviews.
bbixby1764 on LibraryThing 5 months ago
Did not expect to enjoy this as much as I did. First 'read' it for a philosophy class in undergrad. Felt like I was being punished. Little wiser now and a little more edjumucated in things like logic and metaphysics. Enjoyed the holy hell out of it. Really makes a lot of good connections to interesting philosophical issues.