Pt. 1. lecture 1. What's it all about? -- lecture 2. You bet your life : statistics and medicine -- lecture 3. You bet your life : cost-benefit analysis -- lecture 4. Popular statistics : averages and base rates -- lecture 5. Popular statistics : graphs -- lecture 6. Popular statistics : polling and sampling -- lecture 7. The birth of social statistics -- lecture 8. Probability, multiplication, and permutations -- lecture 9. Combinations and probability graphs -- lecture 10. Probability, determinism, and free will -- lecture 11. Probability problems for fun and profit -- lecture 12. Probability and modern science --
Pt. 2. lecture 13. From probability to certainty -- lecture 14. Appearance and reality : Plato's divided line -- lecture 15. Plato's cave : the nature of learning -- lecture 16. Euclid's Elements : background and structure -- lecture 17. Euclid's Elements : a model of reasoning -- lecture 18. Logic and logical fallacies : why they matter -- lecture 19. Plato's Meno : how learning is possible -- lecture 20. Plato's Meno : reasoning and knowledge -- lecture 21. More Euclidean proofs, direct and indirect -- lecture 22. Descartes : method and mathematics -- lecture 23. Spinoza and Jefferson -- lecture 24. Consensus and optimism in the 18th century --
Pt. 3. lecture 25. Euclid : parallels, without postulate 5 -- lecture 26. Euclid : parallels, needing postulate 5 -- lecture 27. Kant, causality, amd metaphysics -- lecture 28. Kant's theory of space and time -- lecture 29. Euclidean space, perspective, and art -- lecture 30. Non-Euclidean geometry : history and examples -- lecture 31. Non-Euclidean geometries and relativity -- lecture 32. Non-Euclidean geometry and philosophy -- lecture 33. Art, philosophy, and non-Euclidean geometry -- lecture 34. Culture and mathematics in classical China -- lecture 35. The voice of the critics -- lecture 36. Mathematics and the modern world.
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