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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.
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.
