Connection Structures: Grzegorczyk's and Whitehead's Definitions of Point

Notre Dame Journal of Formal Logic 37 (3):431-439 (1996)
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Abstract

Whitehead, in his famous book Process and Reality, proposed a definition of point assuming the concepts of "region" and "connection relation" as primitive. Several years after and independently Grzegorczyk, in a brief but very interesting paper, proposed another definition of point in a system in which the inclusion relation and the relation of being separated were assumed as primitive. In this paper we compare their definitions and we show that, under rather natural assumptions, they coincide

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References found in this work

A calculus of individuals based on "connection".Bowman L. Clarke - 1981 - Notre Dame Journal of Formal Logic 22 (3):204-218.
Point, line, and surface, as sets of solids.Theodore de Laguna - 1922 - Journal of Philosophy 19 (17):449-461.
Individuals and points.Bowman L. Clark - 1985 - Notre Dame Journal of Formal Logic 26 (1):61-75.
Connection structures.Loredana Biacino & Giangiacomo Gerla - 1991 - Notre Dame Journal of Formal Logic 32 (2):242-247.

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