Philosophy Lexicon of Arguments

Space, philosophy: various discussions deal, among others, with the question whether the space is absolute or whether empty space is possible. In different sciences, multi-dimensional spaces with certain properties are used to better calculate like Hilbert spaces in the theory of relativity or multidimensional spaces in mathematical nodal theory. No ontological assumptions are made. See also substantivalism, relativism, movement, absoluteness, compactness, conceptual space, dimensions, logical space, four-dimensionalism.
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I 315
Space / time / Geach: radically different: - that you need "between" in both, is misleading - spatial order: affects individual objects - temporal order: what is ordered here, is represented by complex sentences - Geach: in the temporal sense there are more and more complex structures , not in the spatial dimension - E.g. "x is between (y is w) and z" makes no sense.

Gea I
P.T. Geach
Logic Matters Oxford 1972

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Ed. Martin Schulz, access date 2017-05-28