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SB = Sean Barker
PH = Pat Hayes  (02)
Re: http://ontolog.cim3.net/forum/ontolog-forum/2007-08/msg00269.html
CC: Arisbe List, Inquiry List, Ontolog Forum, Semantic Web List  (03)
SB, addressing PH:  (04)
SB: You evidently have not done a course in geometry where every
 theorem starts with the assumption "if 2 not-equal-to 0".
 This leaves mathematicians permanently scared [scarred?]
 with the idea that pure mathematics is a formal system
 independent of reality -- "a game played this way" if
 you like -- and it is the job of applied mathematicians
 to identify the formal apparatus that can be used to
 model some aspects of reality. This is not to say
 that the mathematics cannot apply to reality,
 but rather that it is sometimes tricky to
 work out which parts it applies to.  (05)
SB: Perhaps the question keeps arising because there is
 a fundamental difference in assumptions/perceptions
 between the different religions of mathematics and
 logic (to wander into another thread)?  (06)
Sean,  (07)
Funny you should mention it, because I happen to have spent the
last quarter century working in a branch of geometry where 2 = 0,
and it has a lot to do with the "ecclesiastical rapprochement" of
logic and mathematics.  (08)
Vide: http://www.centiare.com/Differential_Logic_and_Dynamic_Systems
What I am calling "Differential Logic" here is in many respects just
Differential Geometry in Characteristic 2.  (09)
Jon Awbrey  (010)
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