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Re: WAS-- Re: Hanson 2006, Mortimer, Baeker response
On Sun, 25 Jun 2006 01:25:16 +0200 Andreas Johansson <firstname.lastname@example.org>
> On 6/23/06, Phil Bigelow <email@example.com> wrote:
> The test of a scientific theory is if it agreess with observation.
> test of theorem is if it follows logically from the axioms.
While there is a difference, it appears to be rather minor. One is
physical, the other is mental. Is a mental "test" itself an observation?
>From Webster's Dictionary:
Axiom: a statement that needs no proof because its truth is obvious;
So, how do mathematicians canonize axioms? In other words, what is the
process involved in determining that a mathematical concept is "obvious"
If there *is* such a process, then I'll wager it probably involves some
form of testing. Which is not that different than the testing of
scientific hypotheses and theories.