From: Mike Stay <metaweta@gmail.com>
To: ptj@maths.cam.ac.uk
Cc: categories <categories@mta.ca>
Subject: Re: Some questions about different notions of "theory"
Date: Thu, 9 Nov 2017 09:03:04 -0700 [thread overview]
Message-ID: <E1eCtfV-0002Zk-Dg@mlist.mta.ca> (raw)
In-Reply-To: <Prayer.1.3.5.1711072357070.4648@carrot.maths.cam.ac.uk>
On Tue, Nov 7, 2017 at 4:57 PM, <ptj@maths.cam.ac.uk> wrote:
> 1) I'm not sure what Mike means by `those monads that correspond to toposes'
> since most toposes don't correspond to monads on anything.
I'm sorry, I meant "those monads that correspond to higher-order
theories", where a higher-order theory gets interpreted in a topos in
the same way that a Lawvere theory gets interpreted in a category with
finite products.
--
Mike Stay - metaweta@gmail.com
http://www.cs.auckland.ac.nz/~mike
http://reperiendi.wordpress.com
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2017-11-09 16:03 UTC|newest]
Thread overview: 10+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-11-07 1:13 Mike Stay
2017-11-07 23:57 ` ptj
2017-11-09 7:13 ` How can we have a categorical definition " Patrik Eklund
2017-11-10 13:33 ` Steve Vickers
2017-11-09 11:26 ` Some questions about different notions " Andrée Ehresmann
2017-11-10 0:04 ` Michael Shulman
[not found] ` <Prayer.1.3.5.1711072357070.4648@carrot.maths.cam.ac.uk>
2017-11-09 16:03 ` Mike Stay [this message]
2017-11-10 0:00 ` ptj
[not found] ` <5A05AAB4.5020000@cs.bham.ac.uk>
2017-11-10 16:49 ` How can we have a categorical definition " Patrik Eklund
[not found] ` <508ad670e2ff1525f0596b3c79485c04@cs.umu.se>
2017-11-10 17:28 ` Steve Vickers
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