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From Brouwer to Hilbert the Debate on the Foundations of Mathematics in the 1920s

by Paolo Mancosu

  • ISBN: 9780195096323
  • ISBN10: 0195096320

From Brouwer to Hilbert the Debate on the Foundations of Mathematics in the 1920s

by Paolo Mancosu

  • Binding: Paperback
  • Publisher: Oxford Univ Pr
  • Publish date: 09/01/1997
  • ISBN: 9780195096323
  • ISBN10: 0195096320
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Description: Preface Part I. L. E. J. Brouwer Brouwer's Intuitionist Programme Walter 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 Excursion Paolo 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 Mathematics Paolo 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 Logic Paolo 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
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