Grzegorczyk and Whitehead Points: The Story Continues

Abstract

The paper is devoted to the analysis of two seminal definitions of points within the region-based framework: one by Whitehead (1929) and the other by Grzegorczyk (Synthese, 12(2-3), 228-235 1960). Relying on the work of Biacino & Gerla (Notre Dame Journal of Formal Logic, 37(3), 431-439 1996), we improve their results, solve some open problems concerning the mutual relationship between Whitehead and Grzegorczyk points, and put forward open problems for future investigation.

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Keywords

Boolean contact algebras, Region-based theories of space, Point-free theories of space, Points, Spatial reasoning, Grzegorczyk, Whitehead

Citation

Journal of Philosophical Logic, Volume 53, pages 695–719

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