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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.
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