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Consequentia mirabilis: the dream of reduction to logic

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Content provided by Intellectual Mathematics. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Intellectual Mathematics or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
Euclid’s Elements, read backwards, reduces complex truths to simpler ones, such as the Pythagorean Theorem to the parallelogram area theorem, and that in turn to triangle congruence. How far can this reductive process be taken, and what should be its ultimate goals? Some have advocated that the axiomatic-deductive program in mathematics is best seen in … Continue reading Consequentia mirabilis: the dream of reduction to logic
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39 episodes

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Manage episode 271450263 series 2502411
Content provided by Intellectual Mathematics. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Intellectual Mathematics or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
Euclid’s Elements, read backwards, reduces complex truths to simpler ones, such as the Pythagorean Theorem to the parallelogram area theorem, and that in turn to triangle congruence. How far can this reductive process be taken, and what should be its ultimate goals? Some have advocated that the axiomatic-deductive program in mathematics is best seen in … Continue reading Consequentia mirabilis: the dream of reduction to logic
  continue reading

39 episodes

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