From: Paul B Levy <P.B.Levy@cs.bham.ac.uk>
To: categories@mta.ca
Subject: Re: topos logic arising nicely
Date: Wed, 4 Jun 2003 16:42:32 +0100 (BST) [thread overview]
Message-ID: <Pine.LNX.4.44.0306041635390.28211-100000@acws-0092.cs.bham.ac.uk> (raw)
In-Reply-To: <200306032014.WAA05082@fb04305.mathematik.tu-darmstadt.de>
On Tue, 3 Jun 2003, Thomas Streicher wrote:
> I don't know Isabelle too well BUT in Higher Order Logic one may
> well assume inhabitedness of all types when these are built up from
> N (and 1) via x,-> and P(-). In higher order logic one cannot form
> subtypes in the logical sense and that's the only way how one can
> build types that aren't inhabited.
"The neglect of sum types is the root of all evil."
Paul
next prev parent reply other threads:[~2003-06-04 15:42 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
2003-06-03 20:14 Thomas Streicher
2003-06-04 15:20 ` Toby Bartels
2003-06-04 15:42 ` Paul B Levy [this message]
2003-06-05 11:08 Thomas Streicher
2003-06-06 9:29 ` Hendrik Tews
2003-06-08 11:39 ` Thomas Streicher
2003-06-05 19:46 Thomas Streicher
2003-06-09 9:18 ` Paul B Levy
2003-06-09 20:03 Thomas Streicher
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.4.44.0306041635390.28211-100000@acws-0092.cs.bham.ac.uk \
--to=p.b.levy@cs.bham.ac.uk \
--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).