|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._____________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. |
Empty Space/Field: would be one without space-time points: pointless! - ((s) only for Platonism?)
Space/time/Field: quantification over sp.-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 room point is identical to the same point in time - which in turn leads to the wrong question, if there was absolute rest.
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._____________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.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980