Whitehead's point-free geometry
Geometric theory based on regions / From Wikipedia, the free encyclopedia
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In mathematics, point-free geometry is a geometry whose primitive ontological notion is region rather than point. Two axiomatic systems are set out below, one grounded in mereology, the other in mereotopology and known as connection theory.
This article has an unclear citation style. (November 2022) |
Point-free geometry was first formulated in Whitehead (1919, 1920), not as a theory of geometry or of spacetime, but of "events" and of an "extension relation" between events. Whitehead's purposes were as much philosophical as scientific and mathematical.[lower-alpha 1]