New posts in model-theory

Which ordinals can be "mistaken for" $\aleph_1$?

Kees Doets's definitions of logical consequence

A question on linear orders and elementary equivalence

Elementary equivalence of free groups

Can a model of set theory think it is well-founded and in fact not be?

Is there a Second-Order Axiomatization of ZF(C) which is categorical?

Finitely axiomatizable theories

Decidability vs Completeness

Is it circular to define the Von Neumann universe using "sets"?

If the set of S-formula in FOL is infinite, then what means a model can interpret this set?

In what sense is $\sf ZFC$ "stronger" than Peano arithmetic?

advantage of first-order logic over second-order logic

Model existence theorem in set theory

Category theory from the first order logic point of view

Models vs. Structures

Is there a first-order-logic for calculus?

Non-standard models of arithmetic for Dummies (2)

Relationship between different Gödel Sentences

I don't know how to prove some class of models is whether an elementary class or an elementary class in the wider sense. How can I prove what it is?

Number of automorphisms of saturated models