Whitehead and Russell on points

Philosophia Mathematica 18 (1):1-52 (2010)
  Copy   BIBTEX

Abstract

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

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,674

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The philosophy of logical atomism and other essays, 1914-19.Bertrand Russell - 1986 - Boston: Allen & Unwin. Edited by John G. Slater.
Zeitordnung und zeitpunkte.Reinhard Kleinknecht - 2001 - Erkenntnis 54 (1):55-75.
Whitehead's philosophy: points of connection.Janusz A. Polanowski & Donald W. Sherburne (eds.) - 2004 - Albany, NY: State University of New York Press.
Russell’s Many Points.Thomas Mormann - 2009 - In Alexander Hieke & Hannes Leitgeb (eds.), Reduction, Abstraction, Analysis. Ontos Verlag. pp. 11--239.

Analytics

Added to PP
2010-02-06

Downloads
164 (#119,515)

6 months
31 (#107,706)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Boundary.Achille C. Varzi - 2013 - Stanford Encyclopedia of Philosophy.
On Tarski's foundations of the geometry of solids.Arianna Betti & Iris Loeb - 2012 - Bulletin of Symbolic Logic 18 (2):230-260.
Logical constructions.Bernard Linsky - 2008 - Stanford Encyclopedia of Philosophy.
Alfred north Whitehead.A. D. Irvine - 2008 - Stanford Encyclopedia of Philosophy.

Add more citations

References found in this work

The problems of philosophy.Bertrand Russell - 1912 - New York: Barnes & Noble.
Parts: a study in ontology.Peter M. Simons - 1987 - New York: Oxford University Press.
Parts: A Study in Ontology.Peter M. Simons - 1987 - Oxford, England: Clarendon Press.
What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
The Problems of Philosophy.Bertrand Russell - 1912 - Mind 21 (84):556-564.

View all 23 references / Add more references