Phenomenology, Logic, and the Philosophy of Mathematics /
Richard Tieszen
- New York Cambridge University 2009
- 357p
includes index and biblioraphy
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 21 2 Mathematics and Transcendental Phenomenology 46 3 Free Variation and the Intuition of Geometric Essences: Some Reflections on Phenomenology and Modern Geometry 69 PART II. KURT GODEL, PHENOMENOLOGY, AND THE PHILOSOPHY OF MATHEMATICS 4 Kurt Godel and Phenomenology 93 5 Godel`s Philosophical Remarks on Logic and Mathematics 112 6 Godel`s Path from the Incompleteness Theorems (1931) to Phenomenology (1961) 7 Godel and the Intuition of Concepts 149 8 Godel and Quine on Meaning and Mathematics 177 9 Maddy on Realism in Mathematics 201 10 Penrose on Minds and Machines 215 PART III. CONSTRUCTIVISM, FULFILLABLE INTENTIONS, AND ORIGINS 11 Intuitionism, Meaning Theory, and Cognition 227 12 The Philosophical Background of Weyl`s Mathematical Constructivism 248 13 Proofs and Fulfillable Mathematical Intentions 276 14 Logicism, Impredicativity, Formalism: Some Remarks on Poincare and Husserl 294 15 The Philosophy of Arithmetic: Frege and Husserl 314