Space, points and mereology. On foundations of point-free Euclidean geometry

@article{Gruszczynski2009SpacePA,
  title={Space, points and mereology. On foundations of point-free Euclidean geometry},
  author={Rafal Gruszczynski and A. Pietruszczak},
  journal={Logic and Logical Philosophy},
  year={2009},
  volume={18},
  pages={145-188}
}
This article is devoted to the problem of ontological foundations of three-dimensional Euclidean geometry. Starting from Bertrand Russell’s intuitions concerning the sensual world we try to show that it is possible to build a foundation for pure geometry by means of the so called regions of space. It is not our intention to present mathematically developed theory, but rather demonstrate basic assumptions, tools and techniques that are used in construction of systems of point-free geometry and… Expand
THE CLASSICAL CONTINUUM WITHOUT POINTS
The Multi-location Trilemma
Determinables, location, and indeterminacy

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