
In the Light of Logic
Description
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Content
- Intro
- Contents
- I: FOUNDATIONAL PROBLEMS
- 1 Deciding the undecidable: Wrestling with Hilbert's problems
- 2 Infinity in mathematics: Is Cantor necessary?
- II: FOUNDATIONAL WAYS
- 3 The logic of mathematical discovery versus the logical structure of mathematics
- 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 1933 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 seventy years later
- 14 Why a little bit goes a long way: Logical foundations of scientifically applicable mathematics
- Symbols
- References
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Z
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