Discussion of Homotopy Type Theory and Univalent Foundations
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From: Michael Shulman <shu...@sandiego.edu>
To: "Martín Hötzel Escardó" <"escardo..."@gmail.com>
Cc: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] Re: Where is the problem with initiality?
Date: Thu, 31 May 2018 04:09:39 -0700	[thread overview]
Message-ID: <CAOvivQy4ma1siR=DZcEquCJaAWG+=r7vZ98Q8tt7mfzouG+s_Q@mail.gmail.com> (raw)
In-Reply-To: <433eba9a-1d5b-43ce-a266-64d2f6b10047@googlegroups.com>

On Thu, May 31, 2018 at 3:48 AM, Martín Hötzel Escardó
<escardo...@gmail.com> wrote:
> Is the
> study of type theories mature enough to admit a general definition of a type
> theory, of which the ones we are looking at are a particular case?

Well, we won't know whether it is unless we try.  Various of the
people working on the initiality theorem are approaching it by way of
formulating such definitions, either syntactically (collections of
rules) or semantically (structure on a CwF).  And I spoke about
another class of general definitions-in-progress in my own HoTTEST
talk (jww Dan Licata and Mitchell Riley).

      reply	other threads:[~2018-05-31 11:10 UTC|newest]

Thread overview: 57+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-05-22  5:46 Michael Shulman
2018-05-22 16:47 ` Ambrus Kaposi
2018-05-23 16:26 ` [HoTT] " Thorsten Altenkirch
2018-05-24  5:52   ` Michael Shulman
2018-05-24  8:11     ` Thorsten Altenkirch
2018-05-24  9:53       ` Ambrus Kaposi
2018-05-24 17:26         ` Michael Shulman
2018-05-26  9:21           ` Thomas Streicher
2018-05-26 11:47             ` Michael Shulman
2018-05-26 16:47               ` stre...
2018-05-27  5:14                 ` Bas Spitters
2018-05-28 22:39 ` Michael Shulman
2018-05-29  9:15   ` [HoTT] " Thorsten Altenkirch
2018-05-29 15:15     ` Michael Shulman
2018-05-30  9:33       ` Thomas Streicher
2018-05-30  9:37         ` Thorsten Altenkirch
2018-05-30 10:10           ` Thomas Streicher
2018-05-30 12:08             ` Thorsten Altenkirch
2018-05-30 13:40               ` Thomas Streicher
2018-05-30 14:38                 ` Thorsten Altenkirch
2018-05-30 10:53           ` Alexander Kurz
2018-05-30 12:05             ` Thorsten Altenkirch
2018-05-30 19:07               ` Michael Shulman
2018-05-31 10:06                 ` Thorsten Altenkirch
2018-05-31 11:05                   ` Michael Shulman
2018-05-31 19:02                     ` Alexander Kurz
2018-06-01  9:55                       ` Martin Escardo
2018-06-01 17:07                       ` Martín Hötzel Escardó
2018-06-01 17:43                         ` Eric Finster
2018-06-01 19:55                           ` Martín Hötzel Escardó
2018-06-01 20:59                             ` András Kovács
2018-06-01 21:06                               ` Martín Hötzel Escardó
2018-06-01 21:23                                 ` Michael Shulman
2018-06-01 21:53                                   ` Eric Finster
2018-06-01 22:09                                     ` Michael Shulman
2018-06-02 15:06                                       ` Eric Finster
2018-06-05 20:04                                         ` Michael Shulman
2018-06-02  5:13                                 ` Thomas Streicher
2018-06-01 21:52                               ` Jasper Hugunin
2018-06-01 22:00                                 ` Eric Finster
2018-06-01 21:27                           ` Matt Oliveri
2018-06-02  5:21                             ` Ambrus Kaposi
2018-06-02  6:01                               ` Thomas Streicher
2018-06-02 14:35                           ` Thorsten Altenkirch
2018-05-30 13:30             ` Jon Sterling
2018-06-05  7:52             ` Andrej Bauer
2018-06-05  8:37               ` David Roberts
2018-06-05  9:46                 ` Gabriel Scherer
2018-06-05 22:19                 ` Martín Hötzel Escardó
2018-06-05 22:54                   ` Martín Hötzel Escardó
2018-06-05 22:12               ` Richard Williamson
2018-06-06 15:05                 ` Thorsten Altenkirch
2018-06-06 19:25                   ` Richard Williamson
2018-05-29 14:00   ` Jon Sterling
2018-05-30 22:35     ` Michael Shulman
2018-05-31 10:48       ` Martín Hötzel Escardó
2018-05-31 11:09         ` Michael Shulman [this message]

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