1. Geocentric vs. Heliocentric -- from Ptolomy to Tycho
Both philosophies are characterized with the belief of a perfect system and see mathematics as the way to such an ideal. The recognition eventually leads to an increasing desire for mathematical simplicity. In Copernicus cosmology, the beauty of mathematical perfection is reflected by its openness in accepting possibility of complex astronomical forms and maintains faith in a more complete mathematical framework. ... The quantitative quality of mathematics offers the best attainability to solve problems. ... The idea of mathematical simplicity was preserved by providing a much more construc...
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- Grade Level: Undergraduate