[FOM] Pure mathematics and humanity's collective curiosity
Alex Blum
blumal at mail.biu.ac.il
Fri Oct 19 05:44:46 EDT 2007
Feng Ye wrote:
>
>
>...........does mathematics describe a mind-independent domain of reality?
>The idea is that sciences do describe a mind-independent reality (i.e. this
>universe), and since mathematics is an integral part of sciences, successes
>of mathematical applications in sciences provide reasons for believing that
>mathematics does so as well.
>
It is not clear in what sense mathematics can be an integral part
of science. For if it provides only its language and imbedded logic then
its function in science is only one of felicity of expression; but then
in principle mathematics is no different from that of any well developed
language. And surely mathematics does not provide scientific truths.
Alex Blum
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