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008			120409s2009 vau b 000 0 eng
010			_a 2011377509
020			_a1598035541
020			_a9781598035544
040			_aDLC _cDLC
042			_apcc
050	0	0	_aLB 14.6 _bG728m 2009
082			_2370
100	1		_aGrabiner, Judith V., _96187 _d1938-
130			_96091 _aThe Great Courses
245	1	0	_aMathematics, philosophy, and the "real world" / _cJudith V. Grabiner.
260			_aChantilly, Va. : _bTeaching Co., _c2009.
300			_a3 volumes ; _c21 cm.
440			_96419 _aGreat courses
490	0		_aThe great courses
500			_aCourse no. 1440.
500			_a"Lecture transcript and course guidebook"--Cover.
505			_av. 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. Disc 2: 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. v.3: 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. v.3: 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. 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.
520			_aThese 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.
650		4	_aEducación _91877
650		4	_aEnseñanza _96089
650		4	_aMatemáticas _96188 _xFilosofía
650		4	_aMatemáticas _96189 _xHistoria
650		4	_aMatemáticas _96190
710	2		_96101 _aTeaching Company
830			_96091 _aThe Great Courses
906			_a7 _bcbc _corignew _d2 _encip _f20 _gy-gencatlg
942			_2lcc _cBK