Whitehead and Russell on points

Philosophia Mathematica 18 (1):1-52 (2009)
This paper considers the attempts put forward by A.N. Whitehead and by Bertrand Russell to ‘construct’ points (and temporal instants) from what they regard as the more basic concept of extended ‘regions’. It is shown how what they each say themselves will not do, and how it should be filled out and amended so that the ‘construction’ may be regarded as successful. Finally there is a brief discussion of whether this ‘construction’ is worth pursuing, or whether it is better—as in today’s mathematics—to prefer a ‘construction’ that goes the other way round, i.e. , to view a region as a set of points
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Reprint years 2010
DOI 10.1093/philmat/nkp017
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References found in this work BETA
What Numbers Could Not Be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
The Calculus of Individuals and its Uses.Henry S. Leonard & Nelson Goodman - 1940 - Journal of Symbolic Logic 5 (2):45-55.
Region-Based Topology.Peter Roeper - 1997 - Journal of Philosophical Logic 26 (3):251-309.
Vagueness.Bertrand Russell - 1923 - Australasian Journal of Philosophy 1 (2):84 – 92.
A Calculus of Individuals Based on ``Connection''.Bowman L. Clarke - 1981 - Notre Dame Journal of Formal Logic 22 (3):204-218.

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