Table of Contents

Preface
Part I. L. E. J. Brouwer
Brouwer's Intuitionist ProgrammeWalter P. van Stigt:
1: Brouwer, Intuitionist Set Theory
2: Brouwer, Does Every Real Number Have a Decimal Expansion?
3: Brouwer, Proof that Every Full Function is Uniformly Continuous
4: Brouwer, Intuitionist Reflections on Formalism
5: Brouwer, Mathematics, Science, and Language
6: Brouwer, The Structure of the Continuum
Part II. H. Weyl
Hermann Weyl: Predicativity and an Intuitionistic ExcursionPaolo Mancosu:
7: Weyl, On the New Foundational Crisis of Mathematics
8: Brouwer, Comments on Weyl 1921
9: Weyl, The Current Epistemological Situation in Mathematics
10: Holder, The Alleged Circulus Vitiosus and the So-Called Foundational Crisis in Analysis
Part III. P. Bernays and D. Hilbert
Hilbert and Bernays on MathematicsPaolo Mancosu:
11: Bernays, Hilbert's Significance for the Philosophy of Mathematics
12: Hilbert, The New Grounding of Mathematics: First Report
13: Bernays, On Hilbert's Thoughts Concerning the Grounding of Arithmetic
14: Bernays, Reply to the Note by Mr. Aloys Muller "On Numbers as Signs"
15: Hilbert, Problems of the Grounding of Mathematics
16: Bernays, The Philosophy of Mathematics and Hilbert's Proof Theory
17: Hilbert, The Grounding of Elementary Number Theory
Part IV. Intuitionistic Logic
Intuitionistic LogicPaolo Mancosu and Walter P. van Stigt:
18: Brouwer, Intuitionist Splitting of the Fundamental Notions of Mathematics (Dutch Version)
19: Brouwer, Intuitionist Splitting of the Fundamental Notions of Mathematics (German Version)
20: Brouwer, Addendum to "Intuitionist Splitting of the Fundamental Notions of Mathematics"
21: Borel, Concerning the Recent Discussion between Mr. R. Wavre and Mr. P. Levy
22: Glivenko, On Some Points of the Logic of Mr. Brouwer
23: Heyting, On Intuitionistic Logic
24: Heyting, The Formal Rules of Intuitionistic Logic
25: Kolmogorov, On the Interpretation of Intuitionistic Logic
Index

About the Author

Paolo Mancosu is Assistant Professor of Philosophy at the University of California at Berkeley. His main interests are in mathematical logic and philosophy of mathematics. He is the author of Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century (OUP, 1996).

Reviews

"A first-rate contribution to the field."--Mircea Dumitru, Tulane University
"This is an extremely useful collection which makes possible a good course on Intuitionist Logic and Mathematics."--Mary Tiles, University of Hawaii at Manoa