Philosophy Dictionary of Arguments

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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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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

Author Concept Summary/Quotes Sources

Bertrand Russell on Space - Dictionary of Arguments

Kursbuch 8 Mathematik, Frankfurt/M. März 1967
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: there is no more "next moment". - No immediate result of two moments - in between there are ever more moments. - Space: ditto: is always further divisible.

B. Russell, ABC of Relativity Theory Frankfurt 1989
II 46
Def "space-like"/Russell: two events are space-like if it is impossible for a body to move fast enough to be present at both events - but it 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 Special Theory of Relativity. Then the distance between two events can be calculated if one knows the spatial and temporal distance, measured by an arbitrary observer.

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Russell I
Principia Mathematica Frankfurt 1986

Russell II
B. Russell
The ABC of Relativity, London 1958, 1969
German Edition:
Das ABC der Relativitätstheorie Frankfurt 1989

Russell IV
B. Russell
The Problems of Philosophy, Oxford 1912
German Edition:
Probleme der Philosophie Frankfurt 1967

Russell VI
B. Russell
"The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202
German Edition:
Die Philosophie des logischen Atomismus
In
Eigennamen, U. Wolf (Hg), Frankfurt 1993

Russell VII
B. Russell
On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit"
In
Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996

> Counter arguments against Russell

Ed. Martin Schulz, access date 2022-01-28