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Re: [ontolog-forum] Axiomatic ontology

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Pat Hayes <phayes@xxxxxxx>
Date: Sat, 20 Sep 2008 17:05:31 -0500
Message-id: <EADC7335-3319-4387-BAC4-65888FAA80F5@xxxxxxx>
On Sep 20, 2008, at 8:47 AM, Rob Freeman wrote:    (01)

> I would welcome comments on a possible relationship between gauge
> theories in physics, Category Theory in maths, and semantics.
>    (02)

Well, you did ask. These three topics have absolutely nothing whatever  
to do with one another. Gauge theories focus on symmetries in physical  
theory: that is, ways in which theories are invariant under various  
mathematical transformations. Category theory is a branch of pure  
mathematics, a kind of ultimate abstraction of algebra, which focusses  
on systems ('categories') defined by mappings . Semantics is concerned  
with the relationship between representations and what it is that they  
represent. One might as well ask for comments on a possible  
relationship between botany, music and gardening.    (03)

Let me ask in return, what was it that  suggested to you that these  
three topics might have any relationship?    (04)

Pat    (05)

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