Timeline for "Mathematics is the science of the infinite"
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Dec 3, 2018 at 13:08 | comment | added | Nik Weaver | I think the idea is that WKL${}_0$ is supposed to be finitistically "reducible" because it is conservative over PRA for $\Pi^0_1$ sentences. In other words, we can trust it for the sentences we care about and just play a game with other sentences. Yes, I agree that RCA${}_0$ is broadly considered to be finitistically acceptable. | |
Dec 3, 2018 at 10:39 | vote | accept | Joseph O'Rourke | ||
Dec 3, 2018 at 9:12 | comment | added | David Roberts♦ | Surely $RCA_0$ is the realm of finitism? | |
Dec 3, 2018 at 3:57 | comment | added | Bjørn Kjos-Hanssen | WKL asserts existence of infinite sets... | |
Dec 3, 2018 at 2:48 | history | edited | Nik Weaver | CC BY-SA 4.0 |
added 1 character in body
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Dec 3, 2018 at 2:46 | comment | added | Andrés E. Caicedo | By "predictive", did you mean "predicative"? | |
Dec 3, 2018 at 2:26 | history | answered | Nik Weaver | CC BY-SA 4.0 |