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Results tagged with model-theory
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user 57583
Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
5
votes
Use of indiscernibles in model theory
A further application of indiscernibles is to show that a consistent first-order theory with infinite models has models with many automorphisms. In particular, every first-order theory $T$ (in a count …
- 2,111
4
votes
Accepted
Saturated Ultrapowers
W.W. Comfort, S. Negrepontis, The Theory of Ultrafilters, section 13, in particular Theorem 13.7 and Corollary 13.8, might be useful to you. It contains a textbook presentation of the relevant proofs …
- 2,111
16
votes
4
answers
1k
views
Can Suslin (or Aronszajn) lines ever be orderings of abelian groups?
I am interested in realizing linear orders as orderings of abelian groups. In particular, can Suslin lines (and other classes of line) be realised in this way?
Let $\mathcal{C}$ be a class of (torsio …
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