Model Theory
- Finite model theory
- Descriptive complexity theory
- Model checking
- Trakhtenbrot's theorem
- Computable model theory
- Tarski's exponential function problem
- Undecidable problem
- Institutional model theory
- Institution (computer science)
- Non-standard analysis
- Non-standard calculus
- Hyperinteger
- Hyperreal number
- Transfer principle
- Overspill
- Elementary Calculus: An Infinitesimal Approach
- Criticism of non-standard analysis
- Standard part function
- Set theory
- Forcing (mathematics)
- Boolean valued model
- Forcing (mathematics)
- Kripke semantics
- General frame
- Predicate logic
- First-order logic
- Infinitary logic
- Many-sorted logic
- Higher-order logic
- Lindström quantifier
- Second-order logic
- First-order logic
- Soundness theorem
- Gödel's completeness theorem
- Original proof of Gödel's completeness theorem
- Compactness theorem
- Löwenheim-Skolem theorem
- Skolem's paradox
- Gödel's incompleteness theorems
- Structure (mathematical logic)
- Interpretation (logic)
- Substructure
- Elementary substructure
- Skolem hull
- Non-standard model
- Atomic model (mathematical logic)
- Prime model
- Saturated model
- Existentially closed model
- Ultraproduct
- Age (model theory)
- Amalgamation property
- Hrushovski construction
- Potential isomorphism
- Theory (mathematical logic)
- Complete theory
- Vaught's test
- Morley's categoricity theorem
- Stability spectrum
- Morley rank
- Stable theory
- Forking extension
- Strongly minimal theory
- Stable group
- Tame group
- o-minimal theory
- Weakly o-minimal structure
- C-minimal theory
- Spectrum of a theory
- Vaught conjecture
- Stability spectrum
- Model complete theory
- List of first-order theories
- Conservative extension
- Elementary class
- Pseudoelementary class
- Strength (mathematical logic)
- Complete theory
- Differentially closed field
- Exponential field
- Ax-Grothendieck theorem
- Ax-Kochen theorem
- Peano axioms
- Non-standard model of arithmetic
- First-order arithmetic
- Second-order arithmetic
- Presburger arithmetic
- Wilkie's theorem
- Functional predicate
- T-schema
- Back-and-forth method
- Barwise compactness theorem
- Skolemization
- Lindenbaum–Tarski algebra
- Löb's theorem
- Arithmetical set
- Definable set
- Ehrenfeucht–Fraïssé game
- Herbrand interpretation / Herbrand structure / Herbrand universe
- Imaginary element
- Indiscernibles
- Interpretation (model theory) / Interpretable structure
- Pregeometry (model theory)
- Quantifier elimination
- Reduct
- Signature (logic)
- Skolem normal form
- Type (model theory)
- Zariski geometry
Read more about this topic: List Of Mathematical Logic Topics
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