ENGLISH

Kurt Goedel and the Foundations of Mathematics Horizons of Truth

By Baaz , Matthias;Harper , Jr Charles L.;Papadimitriou , Christos H.;Putnam , Hilary W.;Scott , Dana S

Book information

Publisher
Cambridge University Press
ISBN
9780521761444, 8720115113, 9780511974236, 051197423X, 0521761441
Language
english
Format
PDF
Filesize
4 MB (3987656 bytes)
Pages
540 p.) : digital, PDF file(s\541
Time added
2020-07-26 19:24:52
Goedel's theorem;MATHEMATICS--Logic;Mathematics--P

Description

Part I. Historical Context - Goedel's Contributions and Accomplishments: 1. The impact of Goedel's incompleteness theorems on mathematics Angus Macintyre 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options Georg Kreisel 3. The reception of Goedel's 1931 incompletability theorems by mathematicians, and some logicians, to the early 1960s Ivor Grattan-Guinness 4. 'Dozent Goedel will not lecture' Karl Sigmund 5. Goedel's thesis: an appreciation Juliette C. Kennedy 6. Lieber Herr Bernays!, Lieber Herr Goedel! Goedel on finitism, constructivity, and Hilbert's program Solomon Feferman 7. Computation and intractability: echoes of Kurt Goedel Christos H. Papadimitriou 8. From the entscheidungsproblem to the personal computer - and beyond B. Jack Copeland 9. Goedel, Einstein, Mach, Gamow, and Lanczos: Goedel's remarkable excursion into cosmology Wolfgang Rindler 10. Physical unknowables Karl Svozil Part II. A Wider Vision - the Interdisciplinary, Philosophical, and Theological Implications of Goedel's Work: 11. Goedel and physics John D. Barrow 12. Goedel, Thomas Aquinas, and the unknowability of God Denys A. Turner 13. Goedel's mathematics of philosophy Piergiorgio Odifreddi 14. Goedel's ontological proof and its variants Petr Hajek 15. The Goedel theorem and human nature Hilary Putnam 16. Goedel, the mind, and the laws of physics Roger Penrose Part III. New Frontiers - Beyond Goedel's Work in Mathematics and Symbolic Logic: 17. Goedel's functional interpretation and its use in current mathematics Ulrich Kohlenbach 18. My forty years on his shoulders Harvey M. Friedman 19. My interaction with Kurt Goedel: the man and his work Paul J. Cohen 20. The transfinite universe W. Hugh Woodin 21. The Goedel phenomena in mathematics: a modern view Avi Wigderson.

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