The Adventure of Reason —— Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

----- 冒险的原因：数学，数学逻辑哲学的相互作用,1900-1940

ISBN: 9780199546534 出版年：2011 页码：631 Mancosu, Paolo Oxford University Press

Preface PART 1: HISTORY OF LOGIC 1. The Development of Mathematical Logic from Russell to Tarski, 1900-1935 OART 2: FOUNDATIONS OF MATHEMATICS 2. Hilbert and Bernays on Metamathematics 3. Between Russell and Hilbert: Behmann on the foundations of mathematics 4. The Russellian influence on Hilbert and his school 5. On the constructivity of proofs 6. Wittgenstein's constructivization of Euler's proof of the infinitude of primes 7. Between Vienna and Berlin: The immediate reception of Godel's incompleteness theorems 8. Essay Review of Godel's Collected Works (volumes IV and V) PART 3: PHENOMENOLOGY AND MATHEMATICS 9. Hermann Weyl: Predicativity and an intuitionistic excursion 10. Mathematics and Phenomenology: the correspondence between O. Becker and H. Weyl 11. Geometry, Physics and Phenomenology: Four letters of O. Becker to H. Weyl 12. Das Abenteuer der Vernunft: O. Becker and D. Mahnke on the phenomenological foundation of the exact sciences PART 4: NOMINALISM 13. Harvard 1940-1941: Tarski, Carnap and Quine on a finitist language of mathematics for science 14. Quine and Tarski on nominalism PART 5: THE EMERGENCE OF SEMANTICS: TRUTH AND LOGICAL CONSEQUENCE 15. Neurath and Kokoszynska on the semantic conception of truth 16. Tarski on models and logical consequence 17. Tarski on Categoricity and Completeness: an unpublished lecture from 1940 18. Archival Appendix. "On the completeness and categoricity of deductive theories" (1940), By Alfred Tarski. Bibliography