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Philosophy of Mathematics: Selected Readings

Edition: 
2
Publisher: 
Cambridge University Press
Number of Pages: 
608
Price: 
48.00
ISBN: 
052129648X
Date Received: 
Monday, July 17, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Paul Benacerraf and Hilary Putnam, editors
Publication Date: 
1984
Format: 
Paperback
Category: 
Monograph
BLL Committee
03/18/2010
BLL Rating: 

 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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Modify Date: 
Thursday, March 18, 2010

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