From: Michael Barr <barr@barrs.org>
To: categories@mta.ca
Subject: Re: Michael Healy's question on math and AI
Date: Sat, 27 Jan 2001 19:07:58 -0500 (EST) [thread overview]
Message-ID: <Pine.LNX.4.10.10101271906300.2186-100000@triples.math.mcgill.ca> (raw)
In-Reply-To: <F37M5o1gXXX3kRC9QnC00001cc1@hotmail.com>
I mean the initial algebra for the theory with a nullary operation 0:1 -->
N and a unary operation s:N --> N. 1 stands for the terminal object
(empty product).
On Sun, 28 Jan 2001, Bill Halchin wrote:
>
>
> >For another example, consider the traditional definition of Z as the set
> >{0,{0},{0,{0}},{0,{0}{0,{0}}},...}
> >and contrast that to the categorical specification.
> ^^^ Michael, to make things more explicit I take you
> mean the category with one object N and two arrows, 0 & S,
> such that
>
> 0:N->N and s:N->N
>
> Yes?
>
> Regards,
>
> Bill Halchin
next parent reply other threads:[~2001-01-28 0:07 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <F37M5o1gXXX3kRC9QnC00001cc1@hotmail.com>
2001-01-28 0:07 ` Michael Barr [this message]
2001-01-31 0:21 zdiskin
-- strict thread matches above, loose matches on Subject: below --
2001-01-30 19:54 John Duskin
2001-01-29 15:21 S.J.Vickers
2001-01-27 10:45 Colin McLarty
2001-01-26 21:37 Peter McBurney
2001-01-24 22:26 F. William Lawvere
2001-01-26 3:08 ` Todd Wilson
2001-01-26 18:14 ` Michael Barr
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to=Pine.LNX.4.10.10101271906300.2186-100000@triples.math.mcgill.ca \
--to=barr@barrs.org \
--cc=categories@mta.ca \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).