Economics Dictionary of Arguments

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Similarity: Similarity is the conformity of one or more - but not all - properties of two or more objects. See also Identity, Equality, Properties, Predicates, Predication, Identification, Descriptions.
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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 Similarity - Dictionary of Arguments

I 225
Problem of Qualities/cross world congruence/Field: solution: sameness of distance ratios.
- - -
III 62
Def Equality/Temperature equality/Field:

x = y "x is between y and y".

>Equality
, >Betweenness.
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.
>Space, >Spacetime.

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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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