Did Einstein and Plato get it right?. A TOK Presentation on the place of Mathematics in our world. A personal view. An essay title for May 2010. Discuss the claim that some areas of knowledge are discovered and others are invented.
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A TOK Presentation on the place of Mathematics in our world.
A personal view
Discuss the claim that some areas of knowledge are discovered and others are invented.
Note: this is on the 2010 list, so is not one of the titles this grade 12 will have.
EinsteinTwo great thinkers
– Werner Heisenberg
David Hilbert – a formalist
David Hilbourne -- a Platonist
Uranus was discovered in 1781, and by 1846 had almost completed one orbit of the Sun.
But its position did not accurately match the prediction of Newton’s Law of Gravity.
But the “error” could be explained by the existence of a more distant planet.
Urbain Le Verrier, in Paris, predicted where this new planet would be found.
Neptune was first observed on 23 September that year, where Le Verrier has predicted.
Le Verrier had discovered Neptune “with the point of his pencil”.
L.E.J. Brouwer --- a constructivist