[FOM] Advertising an approach to the philosophy of mathematics (with some logical technical work)
auerbach at unity.ncsu.edu
Sun Sep 9 15:52:56 EDT 2007
On Sep 8, at 7:46 PM, Robbie Lindauer wrote:
> He goes on to characterize mathematics as an outgrowth of human
> cognitive function:
> "For the philosophy of mathematics, this means that human
> mathematical practices are human brains’ cognitive activities. "
> I take this to be a classical statement of Naturalism.
The statement quoted above seems a fairly weak form of Naturalism and
compatible with some flavors of Platonism. It would be stronger if
you added that our human mathematical practices exhaust (in some way
to be spelled out) the content of mathematics. And I think that
something like that is the import of *other* of Feng's remarks in the
email. That is, to get a much stronger anti-platonistic view you need
something like " a scientific explanation of the applicability of
mathematics." It strikes me that that's where all the bite and all
the work is.
Department of Philosophy & Religion
Raleigh, NC 27695-8103
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