Linked from

The 53 pages that link to Model theory, each with the reason it gives.

• Predicate logicRelated: It studies which structures make predicate-logic sentences true.

• AxiomRelated: It asks which structures satisfy a theory's axioms.

• ConsistencyRelated: A model of a theory can establish its consistency when the soundness of the proof system is known.

• Interpretation (logic)Related: It investigates which interpretations make sets of sentences true.

• Foundations of mathematicsRelated: It connects axioms with the structures in which they hold.

• Free variableRelated: Satisfaction for formulas with free variables is defined relative to assignments.

• Axiomatic methodRelated: Models give semantic interpretations to axioms beyond their written form.

• FormalismRelated: It connects formal syntax to interpretations in which mathematical statements acquire truth values.

• Domain of discourseRelated: It compares structures with different domains to study the same theory.

• Independence (mathematical logic)Related: Models of the axioms with opposite truth values can establish independence.

• Nonstandard analysisRelated: Model-theoretic constructions provide a rigorous route to nonstandard extensions.

• Foundations of GeometryRelated: Models give precise interpretations in which geometric axioms can be tested.

• Philosophy of mathematicsRelated: Models connect formal axioms to possible mathematical structures and interpretations.

• Hilbert's axiomsRelated: Models reveal what structures satisfy Hilbert's axioms and whether assumptions are independent.

• History of logicRelated: It added semantic interpretations to the syntactic systems developed in modern logic.

• Mathematical structureRelated: It treats structures as interpretations of symbols and investigates their logical properties.

• Elementary equivalenceRelated: It studies how syntactic agreement relates to structural similarity.

• Description logicRelated: Interpretations and models define when description-logic statements are true.

• Formal scienceRelated: It connects symbolic theories to the mathematical structures in which they hold.

• Automated reasoningRelated: Models give semantic meaning to formulas and determine whether claims hold under an interpretation.

• Ax–Grothendieck theoremRelated: Ax's proof uses logical transfer between algebraically closed fields.

• Axiom (mathematics and logic)Related: Models show whether an axiom set can be satisfied and what it permits.

• Barbara H. ParteeRelated: Model-theoretic tools provide a precise account of how expressions receive interpretations.

• Monotonicity of entailmentRelated: In classical semantics, adding premises restricts the models, preserving truths shared by the original models.

• Mostowski collapse lemmaRelated: The lemma is used to replace certain abstract models with isomorphic transitive set structures.