From: Jocelyn Ireson-Paine <popx@j-paine.org>
To: Andrej Bauer <andrej.bauer@andrej.com>
Cc: David Leduc <david.leduc6@googlemail.com>,
categories <categories@mta.ca>
Subject: Re: The boringness of the dual of exponential
Date: Thu, 10 Nov 2011 00:45:48 +0000 (GMT) [thread overview]
Message-ID: <E1ROabS-0006ge-70@mlist.mta.ca> (raw)
In-Reply-To: <E1RO8sG-0000dv-Uq@mlist.mta.ca>
On Wed, 9 Nov 2011, Andrej Bauer wrote:
>> Also, in logic, "and" goes in pair with "or", "for all" goes in pair
>> with "there exists". But implication is always left alone. Why is it
>> so?
>
> I am afraid logic is polyamorous:
> ...
> By the way:
>
> 1. "forall" goes with "weakening" because it is adjoint to it on the right.
> 2. "exists" goes with "weakening" because it is adjoint to it on the left.
>
What's the definition of "weakening"? I've not seen this word used
formally.
> ...
> Andrej
>
Thanks
Jocelyn
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2011-11-10 0:45 UTC|newest]
Thread overview: 22+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-11-05 12:52 David Leduc
2011-11-06 20:22 ` FEJ Linton
2011-11-06 21:55 ` Thomas Streicher
2011-11-07 16:32 ` F. William Lawvere
2011-11-06 22:59 ` Ross Street
[not found] ` <F284B070-BBE5-4187-BA3C-E1A3EA560E6A@mq.edu.au>
2011-11-07 12:52 ` David Leduc
2011-11-08 16:20 ` Paul Taylor
2011-11-09 20:57 ` Uwe.Wolter
2011-11-10 9:29 ` Prof. Peter Johnstone
2011-11-11 7:47 ` Vaughan Pratt
2011-11-11 21:08 ` Robert Seely
2011-11-09 11:28 ` Andrej Bauer
2011-11-10 0:45 ` Jocelyn Ireson-Paine [this message]
2011-11-13 7:57 ` Vaughan Pratt
2011-11-14 13:36 ` Patrik Eklund
2011-11-15 13:03 ` Robert Dawson
[not found] ` <07D33522-CA8F-4133-A8E8-4B3BF6DFCCB4@cs.ox.ac.uk>
2011-11-16 18:06 ` Robert Dawson
2011-11-10 2:17 ` Peter Selinger
2011-11-07 21:23 ` Michael Shulman
2011-11-10 1:11 ` Andrej Bauer
2011-11-09 9:19 Reinhard Boerger
2011-11-09 18:58 RJ Wood
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