Opinions on mathematics.

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.

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
.

Relevant Pages

  • Re: Opinions on mathematics.
    ... 'mathematical objects' and expecting to be understood. ... minds, and changing our minds. ... Mathematics is a science. ... So, doing math can be seen as a dialectic process in which, ...
    (sci.math)
  • Re: Opinions on mathematics.
    ... Michael Press wrote: ... 'mathematical objects' and expecting to be understood. ... minds, and changing our minds. ... Unicorns are a construction of our minds. ...
    (sci.math)
  • Re: Opinions on mathematics.
    ... 'mathematical objects' and expecting to be understood. ... minds, and changing our minds. ... Unicorns are a construction of our minds. ... the same way as we take the mental construction of the natural numbers? ...
    (sci.math)
  • Re: Opinions on mathematics.
    ... practiced and the nature of mathematical objects. ... minds, and changing our minds. ... Mathematics is a science. ... I come to the same conclusion, though not because our minds are real, but because reality is only a mind construction. ...
    (sci.math)
  • Re: Opinions on mathematics.
    ... Michael Press wrote: ... 'mathematical objects' and expecting to be understood. ... minds, and changing our minds. ... Unicorns are a construction of our minds. ...
    (sci.math)