From: Jocelyn Ireson-Paine <popx@j-paine.org>
To: posina <posina@salk.edu>
Cc: "Ellis D. Cooper" <xtalv1@netropolis.net>, categories@mta.ca
Subject: Re: Natural Functorial Categorical Intuition
Date: Mon, 17 Oct 2011 12:46:40 +0100 (BST) [thread overview]
Message-ID: <E1RFlvb-0005xX-EY@mlist.mta.ca> (raw)
In-Reply-To: <E1R92ke-0001Ww-EX@mlist.mta.ca>
On Wed, 28 Sep 2011, posina wrote:
> Dear All,
>
> My understanding, having studied in some detail the behavioural,
> psychological, and cognitive scientific studies, is that a serious study of
> mathematics (beginning with Lawvere & Schanuel's Conceptual Mathematics)
> can inform cognitive sciences more so than the other way around, with all
> due respect to Dan Kahneman and those 'where mathematics comes from' guys.
>
Do tell us more. Mathematics has informed cognitive science on, for
example, the structure of natural-language grammars, how neurons compute,
and how the brain uses the geometric constraints on 3D shapes when
understanding images. But you mention Lawvere & Schanuel's "Conceptual
Mathematics". What can category theory contribute? I suggested some
possibilities in
http://www.j-paine.org/why_be_interested_in_categories.html , "What Might
Categories do for AI and Cognitive Science?". There must be lots more.
> Thank you,
> posina
>
Jocelyn
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2011-10-17 11:46 UTC|newest]
Thread overview: 8+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-09-27 21:20 Ellis D. Cooper
2011-09-28 17:27 ` posina
2011-10-17 11:46 ` Jocelyn Ireson-Paine [this message]
2011-09-29 17:57 ` Dr. Cyrus F Nourani
2011-09-28 3:03 Fred E.J. Linton
2011-09-29 17:16 peasthope
2011-10-03 1:48 Ellis D. Cooper
2011-10-26 0:42 Ellis D. Cooper
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