Re: Opinions on mathematics.
- From: Michael Press <jack@xxxxxxxx>
- Date: Mon, 11 Dec 2006 23:16:03 GMT
In article <87hcw26xqo.fsf@xxxxxxxxxxxxx>,
"Jesse F. Hughes" <jesse@xxxxxxxxxxxxx> wrote:
Michael Press <jack@xxxxxxxx> writes:
In article
<Hbdfh.4308$bR7.780@xxxxxxxxxxxxxxxxxxxxxxxxxx>,
Aatu Koskensilta <aatu.koskensilta@xxxxxxxxx> wrote:
Michael Press wrote:
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.
I see. Mathematics is a combination of introspective psychology and
psychiatry.
I see. Only through psychiatry can we change our minds.
Since when is mathematics about changing our minds? After all, if
these structures exist as constructions in our mind, why would we
change them?
I did not say we change the structures. One time I did
not understand the group and ring homomorphism
theorems. By study and work I came to an understanding,
enhancing my ability to do maths. I changed my mind.
By learning to do proofs and critique my own proofs I
learned to think critically. I changed my mind.
--
Michael Press
.
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- Opinions on mathematics.
- From: Michael Press
- Re: Opinions on mathematics.
- From: Aatu Koskensilta
- Re: Opinions on mathematics.
- From: Michael Press
- Re: Opinions on mathematics.
- From: Jesse F. Hughes
- Opinions on mathematics.
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