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Sunday, January 29, 2012

Mathematics starts with observation

No matter the complexity or size of the mathematical model or the power of the computers it runs on: if the model has been built from an ill-perceived problem, the results are worthless. Garbage in = garbage out. Have you ever said to yourself after you ( finally ) solved that difficult pure mathematics problem : "If I only looked at the problem in that way from the start I would have solved it immediately." Note the "looked at ... in that way". Even the purest of mathematics must be perceived by the 'mind's eye'.

How ( well ) do you perceive? The picture below is NOT a trick picture, nor has it been 'Photoshopped' in any way. What do you see? Look. Just look.

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Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before

(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)