## 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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Books on Amazon: Bertrand Russell |
Course book 8 IV 12 Weierstraß/Russell: banished the infinitesimal variable from mathematics - VsZenon: error: to think that the world must always be the same because there is no state of change - without infinitesimal variables: time: no more "next moment" - no immediate result of two moments in between ever more M - Space: dito: always further divisible B. Russell, ABC of Relativity Theory 46 Def "space-like"/Russell: Two events are space-like if it is impossible for a body to move fast enoug to be present at both events -" but he can be "halfway" and perceive both as happening at the same time - Def "time-like"/Russell: Two events are time-like if it is possible for a physical body to be present at both events -" borderline case: E.g. two events as part of a light beam or - E.g. an event = perception of the other event: then distance 0 - Def distance/Russell: is a physical fact which is part of the events and does not depend on the circumstances of observer - neglecting gravitation, one can apply the SR. Then the distance between two events can be calculated if one knows the spatial and temporal distance, measured by an arbitrary observer. |
R I B. Russell/A.N. Whitehead Principia Mathematica Frankfurt 1986 R II B. Russell Das ABC der Relativitätstheorie Frankfurt 1989 R IV B. Russell Probleme der Philosophie Frankfurt 1967 R VI B. Russell Die Philosophie des logischen Atomismus InEigennamen, U. Wolf (Hg), Frankfurt 1993 R VII B. Russell Wahrheit und Falschheit InWahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 |

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Ed. Martin Schulz, access date 2017-05-25