Philosophy Lexicon of Arguments

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Similarity: conformity of one or more - but not all - properties of two or more objects.

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.

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I 225
Problem of Qualities/Querweltein congruence/Field: Solution: sameness of distance ratios.
III 62
Def Equality/Temperature equality/Field: x = y "x is between y and y".
III 65
Def Equally divided region/Equal split/Divided evenly/Distance equality/Field: (all distances within the region equal to: R: is a space-time-region all of whose points lie on a single line, and that for each point x of R of strictly st-between (spatio-temporally) two points of R is, its points y and z are of R so that a) st-between is just a point of strictly R y and z, and this is x and - b) xy P-Cong xz - ((s), thus avoiding any arbitrary (linear) units.
E.g. - "less" points in the corresponding interval or "the same number of" - in mixed products - then: "... the mixed product ... is less than the mixed product ...".
Distance equality in every area of its own: scalar/Spatio-temporal.

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.

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

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

H. Field
Science without numbers Princeton New Jersey 1980

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Ed. Martin Schulz, access date 2018-04-22