Phenomenology, Logic, and the Philosophy of Mathematics

ISBN: 9780521119986 出版年：2005 页码：369 Richard Tieszen Cambridge University Press

Part I. Reason, Science, and Mathematics: 1. Science as a triumph of the human spirit and science in crisis: Husserl and the Fortunes of Reason 2. Mathematics and transcendental phenomenology Part II. Kurt Godel, Phenomenology and the Philosophy of Mathematics: 3. Kurt Godel and phenomenology 4. Godel's philosophical remarks on mathematics and logic 5. Godel's path from the incompleteness theorems (1931) to Phenomenology (1961) 6. Godel and the intuition of concepts 7. Godel and Quine on meaning and mathematics 8. Maddy on realism in mathematics 9. Penrose and the view that minds are not machines Part III. Constructivism, Fulfilled Intentions, and Origins: 10. Intuitionism, meaning theory and cognition 11. The philosophical background of Weyl's mathematical constructivism 12. What is a proof? 13. Phenomenology and mathematical knowledge 14. Logicism, impredicativity, formalism 15. The philosophy of arithmetic: Frege and Husserl.