From: John Baez <baez@math.ucr.edu>
To: categories <categories@mta.ca>
Subject: Re: cartesian closed categories and holodeck games
Date: Mon, 23 Oct 2006 23:24:23 -0700 [thread overview]
Message-ID: <E1GcLMO-00026c-QL@mailserv.mta.ca> (raw)
On Mon, Oct 23, 2006 at 11:15:04PM -0700, Vaughan Pratt wrote:
> In your Week 240 post to categories, you said
>
> > The moral of this game is that all systematic methods for picking
> > an element of (X^X)^(X^X) for an unknown set X can be written
> > using the lambda calculus.
> What is unsystematic about the contagious-fixpoint functional? This is the
> functional that maps those functions that have any fixpoints to the identity
> function (the function that makes every element a fixpoint) and functions
> without fixpoints to themselves (thus preserving the absence of fixpoints).
Whoops. I got carried away there. Later I admitted that by "systematic
method" I just meant "definable using the lambda calculus". I'll have to
fix this. Thanks!
Best,
jb
next reply other threads:[~2006-10-24 6:24 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2006-10-24 6:24 John Baez [this message]
-- strict thread matches above, loose matches on Subject: below --
2006-10-24 6:15 Vaughan Pratt
2006-10-23 20:59 John Baez
2006-10-23 17:39 Dominic Hughes
2006-10-23 1:26 John Baez
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=E1GcLMO-00026c-QL@mailserv.mta.ca \
--to=baez@math.ucr.edu \
--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).