Le 16-août-06, à 15:28, 1Z a écrit :

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>
>
> Bruno Marchal wrote:
>
>> Note also I have not yet seen physical theory which does not assume
>> numbers.
>
> Physical theories assume the validity of mathematical statements.
> That doesn't mean the existence of numbers. Everyone agrees that
> numbers can't be empirically detected, so if they don't exist that
> changes
> nothing about the theory.
Of course I was again using "existence" in the mathematical sense. Here
I was just saying that you cannot axiomatize any physical theory (rich
enough to explain if only the appearance of observations) without
accepting the independence of truth like "it exists a number such that
...".
Recall once and for all that I don't believe at all (especially by
comp) in any form of substantial numbers or think like that. When I
say that numbers exist, I take it as a mathematical statement, not a
metaphysical one. The metaphysics, or better the theology, relies in
the fact that the comp hypothesis needs an act of faith.
Note that taking a plane or just going out of my bed in the morning
asks some faith too, once comp is assumed (btw).
Bruno
http://iridia.ulb.ac.be/~marchal/
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