Abstract

The standard formulation of the classical theory of science can be found in the Aristotelian Posterior Analytics. The standard formulation of mathematics as a deductive system can be found in the Elements of Euclid. Along history, the Elements were examined according to the Aristotelian model of science. When commenting on Euclid’s Elements, book I, Proclus tells us that incompatibility between mathematics and the standard Aristotelian model of science was already stated by ancient authors like Amphinomus and refuted by others, like Geminus. Proclus himself upholds mathematics in the context of such model of science, using its phraseology and framing its requisites. It provides, for generations to come, the entourage in which to explain the scientific properties of mathematics.

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