L’ontologie des Indivisibles et la structure du continu selon Gautier Burley

Abstract

For Aristote, concerning its composition in parts, the continuous is divisible but concerning its limits (point, line, surface and depth), the continuous is indivisible. Walter Burley, as his contemporaries, commented on the problematic coexistence of the divisibility and the indivisibility in the structure of the continuous. Much more, battling against his opponent Wilhelm of Ockham about the ontology of the category of quantity, he admits an original structure of continuous who seems to contain at the same time intervals or divisible parts and indivisible points.

Keywords

• continuity
• indivisibility
• infinity
• quantity