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Insofar as many Renaissance thinkers regard Aristotelian philosophy of science as the framework for their understanding of mathematics and its proofs, they consider geometrical proofs as syllogisms using causes. Furthermore, they identify geometrical proofs as demonstrationes potissimae, which are a kind syllogism that provides both the cause and the effect of an event. By questioning this assumption, Piccolomini initiates the so-called Quaestio de certitudine mathematicarum. Several scholarsfatcat:7nzb63psebbuvomqh6s5pjwygm