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What About Algebra?
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Classroom Contents
The Story of Mathematical Proof - From Ancient Greece to Modern Logic
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- 1 Intro
- 2 My Favourite Proof
- 3 My Favourite Response to a Proof
- 4 Why Did the Greeks Insist on Proof?
- 5 What About Algebra?
- 6 Geometric Algebra
- 7 Algebra Becomes Efficient
- 8 Algebra and Geometry Switch Places
- 9 Calculus
- 10 Infinitesimals
- 11 The Story So Far
- 12 The Nature of Logic: Propositions
- 13 The Nature of Logic: Predicates
- 14 Set Theory- the Theory of Infinity
- 15 Uncountability
- 16 Cantor's Diagonal Argument
- 17 Logic and Computation
- 18 Conclusions
