From: "Robert J. MacG. Dawson" <rdawson@cs.stmarys.ca>
To: cat group <categories@mta.ca>
Subject: Re: One-stop version of my postings
Date: Mon, 27 Mar 2006 09:56:58 -0400 [thread overview]
Message-ID: <E1FON4n-0005tu-HV@mailserv.mta.ca> (raw)
In-Reply-To: <E1FN0XW-0004pQ-0x@mailserv.mta.ca>
Vaughan Pratt wrote:
> Robert J. MacG. Dawson wrote:
>
>> ...fatally flawed. (Why do the circles in Euc.I.1 intersect? None of his
>> axioms assert that any pair of circles whatsoever do so.)
>
>
> In axiomatic mathematics, everything that is not forbidden is permitted.
Yes, in a sense... but theorems along the lines of "there exists a
model of X such that Y" were a long, long way in the future <grin>
-Robert
next prev parent reply other threads:[~2006-03-27 13:56 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2006-03-24 4:31 Vaughan Pratt
2006-03-27 13:56 ` Robert J. MacG. Dawson [this message]
-- strict thread matches above, loose matches on Subject: below --
2006-03-23 17:09 Robert J. MacG. Dawson
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