Economics Dictionary of Arguments

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Universe, logic, philosophy: The universe contains all objects to which a theory, a model or a discourse refers. See also universe of discourse, exterior/interior, self-reference, paradoxes, domains, scope, totality, wholes, levels/order, description levels. B. In cosmology, the universe is the totality of space, time, matter and energy that exists on a cosmic scale. See also space, time, spacetime, curved space, matter.
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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 Universe - Dictionary of Arguments

I 104
Universe/Classes/Sets/Model/"all"/Field: as the universe of all classes is too large to form a countable model, it is too big to form a class and therefore too large, to form any (over-countable) model.
>Models
, >Infinity, >Paradoxes.
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II 335
Universe/Standard-Platonism/Field: (thesis: "There's only one universe").
>Platonism.
Problem: PutnamVsPlatonism: How can we make it at all possible to pick out the "full" (universal) universe and to make it face a partial universe, and accordingly the standard-element-relation in contrast to a non-standard-element-relation? (Putnam 1980)(1).
Putnam: Thesis: we cannot do that - i.e. that the "incomplete content" of the concepts "quantity" and "element of" is not sufficient to determine the truth value of all set theoretical theorems.
>Element relation, >Truth, >Truth values, >Theorems, >Theories.


1. Putnam, Hilary. 1980. Models and Reality. Journal of Symbolic Logic 45. (3):464-482

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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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