Re: Opinions on mathematics.
- From: "Rupert" <rupertmccallum@xxxxxxxxx>
- Date: 10 Dec 2006 19:19:47 -0800
Michael Press wrote:
Folks have talked about the how mathematics is
practiced and the nature of mathematical objects. It is
difficult to address these matters without saying
'mathematical objects' and expecting to be understood.
It looks like we are stuck with the notion of
mathematical objects.
Some philosophers subscribe to the doctrine of "objectivity without
objects". See, for example, Geoffrey Hellman's "Mathematics Without
Numbers".
From time to time someone tells me that mathematics is
not science. I disagree with this assertion. The reason
is that a mathematical object is a structure that we
construct in our mind with the aid of writings and
diagrams. When doing mathematics we are mapping our
minds, and changing our minds. This is my outlook in a
nutshell. Mathematics is a science. Our minds are real.
--
Michael Press
.
- References:
- Opinions on mathematics.
- From: Michael Press
- Opinions on mathematics.
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