In the Light of Logic

• Solomon Feferman is one of the leading figures in the philosophy of mathematics
• A number of the papers are previously unpublished or have not been widely available
• All of the material has been revised and annotated to bring it up to date

Readership: Scholars and students of philosophy, especially those interested in the philosophy of logic and philosophy of mathematics.

Solomon Feferman, Professor of Philosophy and Mathematics, Stanford University

"an outstanding collection, highly informative, sometimes provocative, often insightful, and throughout displaying the great clarity and command which are hallmarks of the author's writing." - Geoffrey Hellman, Philosophia Mathematica, Vol. 9, No. 2, 2001

"Feferman's book shows that, far from being over, work on the foundations of mathematics is vibrant and continuing, perched deliciously but precariously between mathematics and philosophy." - The Mathematical Intelligencer

I: Foundational Problems
1: Declining the undecidable: Wrestling with Hilbert's Problems
2: Infinity in Mathematics: Is Cantor necessary?
3: The logic of mathematical discovery vs. the logical structure of mathematics
II: Foundational Ways
4: Foundational Ways
5: Working Foundations
III: Gödel
6: Gödel's life and work
7: Kurt Gödel: conviction and caution
8: Introductory note to Gödel's 1993 lecture
IV: Proof Theory
9: What does logic have to tell us about mathematical proofs?
10: What rests on what? The proof-theoretic analysis of mathematics
11: Gödel's Dialectica interpretation and its two-way stretch
V: Countably Reducible Mathematics
12: Infinity in mathematics: Is Cantor necessary? (Conclusion)
13: Weyl vindicated: Das Kontinuum 70 years later
14: Why a little bit goes a long way: Logical Foundations of scientifically applicable mathematics