Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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I 131
Löwenheim-Skolem/downward/Field: says that there must be no uncountable models for 1st order consistent theories.
Compactness theorem/Löwenheim-Skolem/upward: says that each 1st order space-time theory, according to which there are infinitely many space-time points, will have models, in which the set of the space-time points is mightier than the set of real numbers.
Problem: then the representation theorem does not apply.
>Representation theorem.

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