Timeline for Analytic/synthetic distinction in mathematics besides geometry?
Current License: CC BY-SA 4.0
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| Sep 29, 2021 at 9:39 | comment | added | Mirco A. Mannucci | great find Robin and kudos to Mike Shulman! Yes, you are right, in the infamous rules of Descartes in fact analysis comes before synthesis, and this is also true pretty much across the spectrum of historical examples. It kind of makes sense, thinking of it: first you need concrete examples fully worked out, then you abstract out. Early generalizations are generally risky, although a few great souls were able to make the jump sooner.. | |
| Sep 29, 2021 at 6:35 | comment | added | Robin Saunders | The NLab article appears to be the (or a) canonical reference on this for now, though it's probably very incomplete; there's some more here: golem.ph.utexas.edu/category/2015/02/…. I'll just add that I touched on this subject in my answer to Timothy's recent related question, here: mathoverflow.net/a/404918/4336. I noted there that analysis often seems to conceptually precede synthesis: first we "break a subject down", then we "build it back up". | |
| Sep 29, 2021 at 0:09 | vote | accept | Timothy Chow | ||
| Sep 28, 2021 at 21:24 | comment | added | user44143 | I have upvoted now! | |
| Sep 28, 2021 at 21:04 | comment | added | Mirco A. Mannucci | Matt, at your service. Put the link on top and my ramblings below | |
| Sep 28, 2021 at 21:04 | history | edited | Mirco A. Mannucci | CC BY-SA 4.0 |
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| Sep 28, 2021 at 20:30 | history | undeleted | Mirco A. Mannucci | ||
| Sep 28, 2021 at 20:30 | history | edited | Mirco A. Mannucci | CC BY-SA 4.0 |
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| Sep 28, 2021 at 16:31 | history | deleted | Mirco A. Mannucci | via Vote | |
| Sep 28, 2021 at 15:58 | history | undeleted | Mirco A. Mannucci | ||
| Sep 28, 2021 at 15:53 | history | edited | Mirco A. Mannucci | CC BY-SA 4.0 |
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| Sep 28, 2021 at 15:34 | history | deleted | Mirco A. Mannucci | via Vote | |
| Sep 28, 2021 at 15:22 | history | answered | Mirco A. Mannucci | CC BY-SA 4.0 |