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  1. 12. Goethe and Mathematics. Among the main hindrances standing in the way of a just evaluation of Goethe's significance for science belongs the preconception that exists about his relationship to mathematics. This preconception is twofold. Firstly, one believes that Goethe was an enemy of this science and failed in the worst way to recognize ...

  2. Goethe had to recognize the spirit of mathematics in order to know what can be attained in natural science without the help of computation and what cannot. This is the point that really matters. Goethe himself indicated this with great decisiveness. The way he does this reveals a deep insight into the nature of the mathematical.

  3. Goethe's attitude to mathematics, but their voices have gone unheard in the main streams of Goethe research.5 A typical statement on Goethe's relation to mathematics has been made by Hans Leitmeier in the first edition of the Goethe-Handbuch (Stuttgart, 1916-18): "Auf die Mathematik war Goethe schlecht zu sprechen,

  4. Goethe had to recognize the spirit of mathematics in order to know what can be attained in natural science without the help of computation and what cannot. This is the point that really matters. Goethe himself indicated this with great decisiveness. The way he does this reveals a deep insight into the nature of the mathematical.

  5. 9. Goethe's Epistemology. We have already indicated in the previous chapter that Goethe's scientific world view does not exist for us as a complete whole, developed out of one principle. We have to do only with individual manifestations from which we see how one thought or another looks in the light of his way of thinking.

  6. Goethean science. Goethean science concerns the natural philosophy (German Naturphilosophie "philosophy of nature") of German writer Johann Wolfgang von Goethe. Although primarily known as a literary figure, Goethe did research in morphology, anatomy, and optics. He also developed a phenomenological approach to natural history, an alternative ...

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  8. The point expressed by Goethe, above, is exemplified by ridiculous incorrectness of the conclusions reached in the 1962 stable marriage problem, using pure mathematics, versus conclusions reached using the more realistic circa 1975 Gottman stability ratio (measurement + psychology + mathematics), versus even more realistic modern synthesis of circa 2005 human chemical bonding theory ...

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