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Summer 1996 Connection Structures: Grzegorczyk's and Whitehead's Definitions of Point
Loredana Biacino, Giangiacomo Gerla
Notre Dame J. Formal Logic 37(3): 431-439 (Summer 1996). DOI: 10.1305/ndjfl/1039886519

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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Loredana Biacino. Giangiacomo Gerla. "Connection Structures: Grzegorczyk's and Whitehead's Definitions of Point." Notre Dame J. Formal Logic 37 (3) 431 - 439, Summer 1996. https://doi.org/10.1305/ndjfl/1039886519

Information

Published: Summer 1996
First available in Project Euclid: 14 December 2002

zbMATH: 0877.51006
MathSciNet: MR1434428
Digital Object Identifier: 10.1305/ndjfl/1039886519

Subjects:
Primary: 03B30
Secondary: 00A30, 51F99

Rights: Copyright © 1996 University of Notre Dame

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Vol.37 • No. 3 • Summer 1996
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