Discussion of Homotopy Type Theory and Univalent Foundations
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From: "andré hirschowitz" <"a..."@unice.fr>
To: Andrej Bauer <andrej...@andrej.com>
Cc: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] Is synthetic the right word?
Date: Thu, 16 Jun 2016 16:07:11 +0200	[thread overview]
Message-ID: <CAHPPr6zVU0AKD5XeGjj=ks5vRb+tuGdidPK2CNJKb8KCZt4KdA@mail.gmail.com> (raw)
In-Reply-To: <CAB0nkh1uyh_xC_zX3Fpb-Ec_Gjrgi=puZfEWgf4oWKjWy7TFrA@mail.gmail.com>

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Hi!

2016-06-16 15:15 GMT+02:00 Andrej Bauer <andrej...@andrej.com>:

> So at least at this level it
> is a bit pointless to discuss things in absolute terms. The HoTT
> proofs are *also* about the usual spheres.
>


I disagree with this formulation. It is not at all pointless (with respect
to positions, publications and the like) to make clear in which sense
synthetic spheres strictly encompass classical ones (and potentially
"non-euclidian" future ones).

And instead of stressing that these HoTT proofs are *also* about the usual
spheres, we should rather stress that these HoTT proofs are *not at all
only* about the usual spheres.

andré H

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  parent reply	other threads:[~2016-06-16 14:07 UTC|newest]

Thread overview: 30+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2016-06-15 18:26 andré hirschowitz
2016-06-15 23:13 ` [HoTT] " Joyal, André
2016-06-16  8:56   ` andré hirschowitz
2016-06-16 12:37     ` Steve Awodey
2016-06-16 13:04       ` andré hirschowitz
2016-06-16 13:15         ` Andrej Bauer
2016-06-16 13:35           ` Steve Awodey
2016-06-16 14:07           ` andré hirschowitz [this message]
2016-06-16 14:15             ` Bas Spitters
2016-06-16 14:38               ` Eric Finster
2016-06-16 17:07                 ` Thierry Coquand
2016-06-16 17:51                   ` Eric Finster
2016-06-16 17:58                     ` Thierry Coquand
2016-06-16 18:18                     ` Urs Schreiber
2016-06-16 18:41                       ` Eric Finster
2016-06-16 14:42               ` Urs Schreiber
2016-06-16 16:55               ` andré hirschowitz
2016-06-16 14:32             ` Marc Bezem
2016-06-16 14:50             ` Steve Awodey
2016-06-16 13:16         ` Bas Spitters
2016-06-16 13:33           ` Urs Schreiber
2016-06-16 15:03       ` Joyal, André
     [not found]         ` <CAOvivQyNdvTLN5f8e8OikWbCKye0fk7ZocGVMfLkWL+5moBaxw@mail.gmail.com>
2016-06-16 16:28           ` Joyal, André
2016-06-16 16:52             ` Cale Gibbard
2016-06-16 10:27 ` Andrej Bauer
2016-06-16 11:08   ` Nicola Gambino
2016-06-16 11:17   ` Cale Gibbard
     [not found]   ` <5762889C.8080401@cs.bham.ac.uk>
2016-06-16 19:18     ` Martin Escardo
2016-06-16 20:02       ` Egbert Rijke
2016-06-16 21:41       ` Joyal, André

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