From: Michael Shulman <shulman@sandiego.edu>
To: Matt Oliveri <atmacen@gmail.com>
Cc: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] Equality in the Model Type Framework
Date: Thu, 5 Jul 2018 07:31:42 -0700 [thread overview]
Message-ID: <CAOvivQxMTi3u87hpY64CYvHQojzSn2ujRsFTjji-W7TJMkqnNA@mail.gmail.com> (raw)
In-Reply-To: <b7c82d37-26ac-4b78-b465-64ab8ba30825@googlegroups.com>
On Wed, Jul 4, 2018 at 10:59 PM, Matt Oliveri <atmacen@gmail.com> wrote:
> So on the syntactic side, this is saying that theories can't add constants
> or equations to the mode theory? (Like flat and idempotence of flat.)
Yes.
> Would this support W types in the doctrine?
It's possible that there is a notion of "recursive F-type" that would
include W-types, but we haven't really worked that out yet.
> Universes? Do universes somehow
> pop up out of the new U types, or are they special?
I think universes are special. In particular, they don't have a
universal property.
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prev parent reply other threads:[~2018-07-05 14:32 UTC|newest]
Thread overview: 7+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-07-03 3:38 Matt Oliveri
2018-07-03 16:17 ` [HoTT] " Matt Oliveri
2018-07-04 4:49 ` [HoTT] " Michael Shulman
2018-07-04 18:11 ` Matt Oliveri
2018-07-05 4:00 ` Michael Shulman
2018-07-05 5:59 ` Matt Oliveri
2018-07-05 14:31 ` Michael Shulman [this message]
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