From: Steve Awodey <awo...@cmu.edu>
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 15:35:52 +0200 [thread overview]
Message-ID: <EA59242A-A578-48AD-919C-FE324E7B472A@cmu.edu> (raw)
In-Reply-To: <CAB0nkh1uyh_xC_zX3Fpb-Ec_Gjrgi=puZfEWgf4oWKjWy7TFrA@mail.gmail.com>
> On Jun 16, 2016, at 3:15 PM, Andrej Bauer <andrej...@andrej.com> wrote:
>
> On Thu, Jun 16, 2016 at 2:04 PM, andré hirschowitz <a...@unice.fr> wrote:
>> I am afraid of the discussion which could follow if I try to argue that the
>> synthetic sphere is definitely different of the classical one...
>
> The HoTT objects, such as the circles and the spheres expressed as
> HITs, may be interpreted in many different models, some of which will
> give "old objects" and other "new ones". 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.
yes - this is of course correct.
Regards,
Steve
>
> With kind regards,
>
> Andrej
>
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next prev parent reply other threads:[~2016-06-16 13:35 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 [this message]
2016-06-16 14:07 ` andré hirschowitz
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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