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Results tagged with model-theory
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user 57888
Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
4
votes
Accepted
Can one satisfaction class code another?
In case of Peano Arithmetic the answer is yes (emphatically yes), if I understand your question correctly. This follows from Theorem 3.3 in Smith's "Nonstandard Definability" APAL 42 (1989) pp. 21-43 …
- 1,229
7
votes
End Extension models of $I\Delta_0$
Actually it's not even true that any model of $I\Delta_0$ admits an end extension to a model of this theory.
Even worse, we don't know whether such an end extension exists even if you allow the small …
- 1,229
3
votes
Why can we assume a ctm of ZFC exists in forcing
This is to slightly elaborate on point 2 of Noah Schweiber's answer, since in my opinion this approach is often presented in a somewhat confusing manner which ommits some key subtelties.
Forcing const …
- 1,229