A Consistent Conception of the Extended Linear Continuum as an Aggregate of Unextended Elements

Philosophy of Science 19 (4):288 - 306 (1952)
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Abstract

It is a commonplace in the analytic geometry of physical space-time that an extended straight line segment, having positive length, is treated as “consisting of” unextended points, each of which has zero length. Analogously, time intervals of positive duration are resolved into instants, each of which has zero duration.

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10.1086/287213

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Adolf Grunbaum
Last affiliation: University of Pittsburgh

Citations of this work

The extent of the present.William Craig - 2000 - International Studies in the Philosophy of Science 14 (2):165 – 185.
A Puzzle About Points.Aaron Segal - 2016 - Philosophical Perspectives 30 (1):349-365.

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References found in this work

The Continuum and Other Types of Serial Order.Edward V. Huntington - 1918 - Journal of Philosophy, Psychology and Scientific Methods 15 (3):78-80.
Some Recent Writings in the Philosophy of Mathematics.Adolf Grünbaum - 1951 - Review of Metaphysics 5 (2):281 - 292.

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