Abstract
Geometry was always an essential part of mathematics. In the classical conception, arithmetic and geometry were the main divisions of mathematics, and both were equally taken to be bodies of necessary truths about reality. It was thought that space – the real space we live in – is evidently and necessarily exactly as described by Euclid’s axioms.
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© 2014 James Franklin
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Franklin, J. (2014). Geometry: Mathematics or Empirical Science?. In: An Aristotelian Realist Philosophy of Mathematics. Palgrave Macmillan, London. https://doi.org/10.1057/9781137400734_10
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DOI: https://doi.org/10.1057/9781137400734_10
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