[Beowulf] OS for 64 bit AMD
rbw at ahpcrc.org
Wed Apr 6 09:56:43 EDT 2005
Tony Travis wrote:
> Robert G. Brown wrote:
>> Ah, but the PROPER and ORIGINAL meaning of axiom is "unprovable
>> assumption" upon which a system of logic and discourse is built. The
>> final half-definition is the only one that is actually correct.
>> In fact, I've got a whole essay entitled "Axioms" on my personal
>> website. Seriously.
> Hello, Robert.
> OK, I bow to your greater wisdom: I have now learned that axioms are:
> "...unprovable assumptions whose truth and falsehood cannot be assessed"
This is the definition I have always thought was the most fundamental.
is used colloquially most of the time. In fact, the truth of an axiom
is always debatable.
We simply come to rest on a idea so that we can proceed to
etc. ... but we must always be aware of the potential for
overreaching. Perhaps the
most basic axiom is that of the notion of identity (one cannot count
without it), but
we all know that in fact no two things are identical. We carry on with
because the implications (all of mathematics) are so useful and interesting.
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