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Mathematical logic.

Mathematical logic is the study of formal logic within mathematics. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power.

Mathematical logic is divided into four parts:

- Model theory
- Proof theory
- Recursion theory, also known as computability theory
- Set theory

The divisions between these areas, along with the divisions between mathematical logic and the rest of mathematics, are not completely sharp, with many areas of research and methods overlapping and reinforcing each other.

This category has the following 33 subcategories, out of 33 total.

- Forcing (mathematics) (23 P)
- Formal theories of arithmetic (17 P)

- Independence results (21 P)

- Logical truth (24 P)

- Quantifier (logic) (19 P)

- Substitution (logic) (3 P)

The following 200 pages are in this category, out of approximately 203 total. This list may not reflect recent changes.

(previous page) ( next page)- Cantor's paradox
- Cartesian monoid
- Categorical theory
- Class logic
- Classical mathematics
- Coherent space
- Cointerpretability
- Compactness theorem
- Complete theory
- Completeness (logic)
- Conservative extension
- Continuous predicate
- Contraposition
- Converse relation
- Counting
- Craig interpolation
- Curry's paradox
- Cyclic negation

- Elementary definition
- Elementary equivalence
- Elementary sentence
- Elementary theory
- End extension
- Entitative graph
- Entscheidungsproblem
- Enumeration
- Enumeration reducibility
- Equality (mathematics)
- Equational logic
- Equiconsistency
- Extender (set theory)
- Extension by definitions
- Extension by new constant and function names
- Extensions of First Order Logic

- S2S (mathematics)
- Saturated model
- Schröder–Bernstein property
- Semantic theory of truth
- Semantics of logic
- Semicomputable function
- Signature (logic)
- Simplification of disjunctive antecedents
- Slicing the Truth
- Solèr's theorem
- Special case
- List of statements independent of ZFC
- Stratification (mathematics)
- Strength (mathematical logic)
- Structural induction
- Structuralism (philosophy of mathematics)
- Structure (mathematical logic)
- Subitizing
- Substructure (mathematics)
- Successor function
- Superposition calculus
- Surreal number
- Glossary of mathematical symbols
- List of mathematical symbols by subject