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: Fri, 1 Jun 2018 14:23:11 -0700	[thread overview]
Message-ID: <CAOvivQwJnf-We4a3cKE1X-N4gKfX59XP2-8R9SQ-MRTv9FXdOQ@mail.gmail.com> (raw)
In-Reply-To: <dd79e236-a55d-4f14-b320-41966563bc14@googlegroups.com>

On Fri, Jun 1, 2018 at 2:06 PM, Martín Hötzel Escardó
<escardo...@gmail.com> wrote:
> I don't think the initial model is a set. Is it?

This is the big conjecture that Thorsten and I actually agree on: that
the initial infinity-CwF in fact happens to be a 1-CwF.  Thorsten
wants to prove this by explicitly constructing the initial
infinity-CwF and then proving that it is a 1-CwF; my preference would
be to construct the initial 1-CwF in a careful way (e.g. with only
normal forms and hereditary substitution) so that one can prove that
it is in fact the initial infinity-CwF as well.  But in both cases the
conjectured result is the same, and even the important ingredient in
the expected proof is roughly the same: the existence of normal forms
and normalization.

  reply	other threads:[~2018-06-01 21:23 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 [this message]
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

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