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

Hartry Field on Space - Dictionary of Arguments

III 35
Empty Space/Field: would be one without space-time points: senseless! - ((s) only for Platonism).
>Platonism
, >Spacetime, >Spacetime points.
III 35
Space/time/Field: quantification over space-time points is something other than mere quantification over space points when a space point should be something that exists in time.
Because that leads to the wrong question: whether a space point is identical to the same point in time - which in turn leads to the wrong question, if there was absolute rest.
>Absolute rest, >Absoluteness, >Time.
III 36
Regions/points/Field: solution for the nominalist: individual calculus/Goodman: Regions as sums of points.
Then there are no empty areas! Regions then need not be contiguous, or can be measured.
>Relationism, >Substantivalism.

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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.

Field I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Field II
H. Field
Truth and the Absence of Fact Oxford New York 2001

Field III
H. Field
Science without numbers Princeton New Jersey 1980

Field IV
Hartry Field
"Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67
In
Theories of Truth, Paul Horwich, Aldershot 1994


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Ed. Martin Schulz, access date 2024-04-19
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