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Pascal : contingence et probabilités
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ISBN: 2130461318 Year: 1995 Volume: 57 Publisher: Paris : Presses universitaires de France,

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Abstract

Géométrie
Authors: ---
ISBN: 2020124270 9782021357028 2021357023 9782020124270 Year: 1995 Publisher: Paris : Seuil,

Aristotle and mathematics : aporetic method in cosmology and metaphysics
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ISBN: 9004101594 9004320903 9789004101593 Year: 1995 Volume: 67 Publisher: Leiden ; New York ; Köln Brill

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Abstract

John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics.

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