Mathematics, Philosophy and the "Real World"
Mathematics, Philosophy and the "Real World" consists of 36 lectures taught by Professor
Judith V. Grabiner, exploring mathematical concepts and practices that can be applied to a fascinating
range of areas and experiences. Throughout the lectures, Professor Judith Grabiner explains not only the
key ideas of mathematics but also its impact on the history of philosophical ideas, focusing on the two
areas of mathematics - probability and statics, and geometry.
| 01 - What's It All About? |
19 - Plato's Meno: How Learning Is Possible |
| 02 - You Bet Your Life: Statistics and Medicine |
20 - Plato's Meno: Reasoning and Knowledge |
| 03 - You Bet Your Life: Cost-Benefit Analysis |
21 - More Euclidean Proofs, Direct and Indirect |
| 04 - Popular Statistics: Averages and Base Rates |
22 - Descartes: Method and Mathematics |
| 05 - Popular Statistics: Graphs |
23 - Spinoza and Jefferson |
| 06 - Popular Statistics: Polling and Sampling |
24 - Consensus and Optimism in the 18th Century |
| 07 - The Birth of Social Statistics |
25 - Euclid: Parallels, Without Postulate 5 |
| 08 - Probability, Multiplication, and Permutations |
26 - Euclid: Parallels, Needing Postulate 5 |
| 09 - Combinations and Probability Graphs |
27 - Kant, Causality, and Metaphysics |
| 10 - Probability, Determinism, and Free Will |
28 - Kant's Theory of Space and Time |
| 11 - Probability Problems for Fun and Profit |
29 - Euclidean Space, Perspective, and Art |
| 12 - Probability and Modern Science |
30 - Non-Euclidean Geometry: History and Examples |
| 13 - From Probability to Certainty |
31 - Non-Euclidean Geometries and Reality |
| 14 - Appearance and Reality: Plato's |
32 - Non-Euclidean Geometry and Philosophy |
| 15 - Plato's Cave: The Nature of Learning |
33 - Art, Philosophy, and Non-Euclidean Geometry |
| 16 - Euclid's Elements: Background and Structure |
34 - Culture and Mathematics in Classical China |
| 17 - Euclid's Elements: A Model of Reasoning |
35 - The Voice of the Critics |
| 18 - Logic and Logical Fallacies: Why They Matter |
36 - Mathematics and the Modern World |