Timeline for Is there a constructive version of internal set theory?
Current License: CC BY-SA 4.0
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| when toggle format | what | by | license | comment | |
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| Nov 5 at 14:19 | history | edited | Mikhail Katz |
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| Sep 22, 2022 at 21:59 | vote | accept | Christopher King | ||
| Sep 14, 2022 at 16:19 | history | edited | Christopher King | CC BY-SA 4.0 |
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| Sep 13, 2022 at 19:32 | answer | added | aws | timeline score: 4 | |
| Sep 13, 2022 at 19:08 | answer | added | Sam Sanders | timeline score: 9 | |
| Sep 13, 2022 at 19:01 | comment | added | Sam Sanders | @Asaf Karagila There are plenty of constructive approaches to Nonstandard Analysis (with metatheory Martin-Loef type theory) due to Erik Palmgren and co-authors. See google. | |
| Sep 13, 2022 at 2:27 | answer | added | Christopher King | timeline score: 6 | |
| Sep 12, 2022 at 15:49 | comment | added | Christopher King | @PeterLeFanuLumsdaine I didn't see anything that could specifically be extended to IST when I looked at Palmgren's work previously, but maybe I'll take another look. | |
| Sep 12, 2022 at 15:47 | comment | added | Christopher King | @AsafKaragila That's why we can't just use Nelson's model within CZF or something. IST doesn't give you access to the ultrafilter though, and I can't think of anything nonconsecutive that the additional axioms let you do. | |
| Sep 12, 2022 at 15:45 | history | edited | Christopher King | CC BY-SA 4.0 |
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| Sep 12, 2022 at 9:22 | comment | added | Peter LeFanu Lumsdaine | I don’t know the topic well enough to give a proper answer, but have you looked at the work of Erik Palmgren on constructive nonstandard analysis? He has several papers on the topic — googling brings them up easily. | |
| Sep 12, 2022 at 6:57 | comment | added | Asaf Karagila♦ | Isn't this kind of defeating the porpoise? Do the hyperreals even provably exist in constructive settings? | |
| Sep 12, 2022 at 4:01 | history | edited | Christopher King | CC BY-SA 4.0 |
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| Sep 12, 2022 at 2:44 | history | edited | Christopher King | CC BY-SA 4.0 |
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| Sep 12, 2022 at 2:39 | history | asked | Christopher King | CC BY-SA 4.0 |