Mathematics, Philosophy, and the "Real World." Part 3

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Course no. 1440.
Lectures 25-36 of 36.
Disc 5: Lecture 25. Euclid--parallels, without Postulate 5 -- Lecture 26. Euclid--parallels, needing Postulate 5 -- Lecture 27. Kant, causality, and 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.
Disc 6: 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.
Lecturer: Professor Judith V. Grabiner, Ptizer College.
These lectures reveal how mathematics has changed the way people look at the world. We study how the model of certainty in Euclid's revolutionary Elements influenced philosophers for centuries, and how the invention of non-Euclidiean geometry further influenced philosophy and changed modern views of the world. As well. we consider how the newer disciplines of probability and statistics gave scientists ways of dealing--with precision--with events that did not seem to follow laws but were due to chance. We look at some elementary probability theory and its applications to the study of society, and we examine such issues as free will, determinism, and chance in the context of the philosophical views of thinkers from Pascal to Gould.
DVD.

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