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The World, The Mind and Mathematics

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The Complexity of Creativity

Part of the book series: Synthese Library ((SYLI,volume 258))

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Abstract

Mathematics is a field full of dichotomies: continuous versus discrete, size versus shape, finite versus infinite and static versus dynamic to name just a few. But certainly the most controversial division is the notorious “pure” versus “applied”. And in a provocative 1981 article [1] titled “Applied Mathematics is Bad Mathematics”, Paul Halmos set the fox in among the chickens by claiming that usually the answer is Yes!, and that the reason ultimately comes down to a question of taste. To use one of Halmos’s analogies, a Picasso portrait is usually regarded as better art than a police photograph of a wanted criminal But the Picasso is probably not a very good likeness, while the police photo is far from inspiring to look at. So is it completely unfair to say that the portrait is a bad copy of nature and the photograph is bad art?

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References

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© 1997 Springer Science+Business Media Dordrecht

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Casti, J.L. (1997). The World, The Mind and Mathematics. In: Andersson, Å.E., Sahlin, NE. (eds) The Complexity of Creativity. Synthese Library, vol 258. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8788-4_11

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  • DOI: https://doi.org/10.1007/978-94-015-8788-4_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4778-6

  • Online ISBN: 978-94-015-8788-4

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