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Hume on Infinite Divisibility
History of Philosophy Quarterly 5 (2):133-140 (1988)
Abstract
Hume seems to argue unconvincingly against the infinite divisibility of finite regions of space. I show that his conclusion is entailed by respectable metaphysical principles which he held. One set of principles entails that there are partless (unextended) things. Another set entails that these cannot be ordered so that an infinite number of them compose a finite interval.Author's Profile
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Citations of this work
Hume on space, geometry, and diagrammatic reasoning.Graciela De Pierris - 2012 - Synthese 186 (1):169-189.
Hume and the Perception of Spatial Magnitude.Edward Slowik - 2004 - Canadian Journal of Philosophy 34 (3):355 - 373.
Atomism and Infinite Divisibility.Ralph Edward Kenyon - 1994 - Dissertation, University of Massachusetts Amherst
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