Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
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Theses I
Theses II

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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.
---
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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