Dear Peter,
Thanks for this interesting source. This is essentially
what I said in arguing that mathematics neither
requires nor entails dualism.
Many of the great mathematicians were holistic
thinkers. Just as Popper might have done, they
used a dialectic between different kinds of vision
to enrich their understanding.
Incidentally, Poincare's developed some of the same
principles that Einstein completed in the theory of
relativity. Some historians believe that Poincare could
-- with a slightly different orientation -- have developed
the theory of relativity.
Best regards,
Ken
>Dear Ken et al
>
>Here's one for ending dualism:
>
>' When the brilliant French mathematician Henri Poincare was not
>actually doing
>maths he liked to think about the nature of mathematical creativity. Logic, he
>felt, was important, but it was not enough. Poincare wrote "it is by logic we
>prove ... it is by intuition that we invent." '
>
>Schechter, B (2004) 'Taming the Fourth Dimension' in 'New Scientist' 17 July
>2004 p 27 www.newscientist.com
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