Grzegorczyk and Whitehead Points: The Story Continues

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Journal of Philosophical Logic:1-25 (forthcoming)
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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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10.1007/s10992-024-09747-6

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Rafał Gruszczyński
Nicolaus Copernicus University

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References found in this work

Region-based topology.Peter Roeper - 1997 - Journal of Philosophical Logic 26 (3):251-309.
Point, line, and surface, as sets of solids.Theodore de Laguna - 1922 - Journal of Philosophy 19 (17):449-461.
A Calculus of Regions Respecting Both Measure and Topology.Tamar Lando & Dana Scott - 2019 - Journal of Philosophical Logic 48 (5):825-850.

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