Re: [TYPES] Meaning explanations and the invalidity of the law of excluded middle
Thomas Streicher <streicher-H0bhvm5RIPJmTlJ5tp4iNa5Fl2EJEGXphC4ANOJQIlc@public.gmane.org>
| Newsgroups | gmane.comp.science.types |
|---|---|
| Message-ID | <[email protected]> |
[ The Types Forum, http://lists.seas.upenn.edu/mailman/listinfo/types-list ] On Tue, Oct 17, 2017 at 05:26:23AM -0700, Jon Sterling wrote: > Dear Andrej and Thomas, > > I was referring to extensional MLTT (MLTT 1979), not intensional MLTT > (for which the question is still open, I believe); I believe the result > is from Troelstra, but I can try and dig up the details. Sure, one knows that relative to HA_omega the combination of extensionality, choice and continuity is inconistent simply because you can't tell a program from an initial segment of the function it computes. Thomas