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Re: Ariadne's thread
Posted:
Jan 4, 2012 3:47 AM
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Mathematics may be understood as logic of building and
maintaining, while art may be seen as human measure
in a technical world. The former is based on the equation
a = a, the latter on Goethe's world formula and ever
turning key 'all is equal, all unequal ...'
God may see the world as one. We humans perceive it
in opposites, from different perspectives that both exclude
and complement each other. God as heavenly creator may
understand all of the world in mathematical terms, while
we combine a limited mathematical treasure based on the
formula a = a with the contrary experience that no
physical objects and no living beings are really the same,
identical, and everybody and everything changes in time
- you can't bath in the same river twice (Heraclite).
The border between the mathematical and the other side
of logic, between Goethe's 'all is equal' and 'all unequal'
is the infinite, equal and unequal in itself, eternal
source of paradoxa. Each taming of the infinite reveals
another puzzle, one more surprise, a further paradox.
We can't get rid of them, so we better estimate them
as promises and generators of future knowledge.
God created a world in evolution. Also we evolve, and so
does our knowledge. In my lifetime more mathematics was
discovered than in all times before. However, mathematical
research, as any other research, will never come to an end.
We may feel that we are just below the top of the mesa
- one final effort and we are there - but the mountain
grows while we are climbing.
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