This is a list of topics in logic.

Alphabetical list

A

Abacus logic -- Abduction (logic) -- Abductive validation -- Affine logic -- Affirming the antecedent --Affirming the consequent -- Antecedent -- Antinomy -- Argument form -- Aristotelian logic -- Axiom -- Axiomatic system -- Axiomatization

B

Backward chaining -- Barcan formula -- Biconditional elimination -- Biconditional introduction -- Bivalence and related laws -- Boolean algebra -- Boolean logic

C

Categorical logic -- Categorial logic -- Clocked logic --Cointerpretability --College logic -- Combinatorial logic -- Combinatory logic -- Computability logic -- Conditional -- Conditional proof -- Conjunction elimination --Conjunction introduction -- Conjunctive normal form -- Consequent --Contradiction -- Contrapositive -- Control logic -- Converse (logic) -- Converse Barcan formula -- Cotolerance -- Counterfactual conditional -- Curry's paradox

D

De Morgan's laws -- Deduction theorem -- Deductive reasoning -- Degree of truth -- Denying the antecedent -- Deviant logic -- Disjunction elimination -- Disjunction introduction -- Disjunctive normal form -- Disjunctive syllogism -- Double negative -- Double negative elimination

E

Elimination rule -- End term -- Exclusive nor -- Exclusive or -- Existential fallacy -- Existential quantification

F

Fallacy of distribution -- Fallacy of the four terms -- First-order predicate - First-order predicate calculus - First-order resolution -- Fluidic logic -- Forward chaining -- Free variables and bound variables -- Fuzzy logic

G

Game semantics

H

Heyting algebra -- Higher-order predicate -- Horn clause -- Hypothetical syllogism

I

Iff -- Illicit major -- Illicit minor -- Implicant -- Inductive logic -- Inductive logic programming -- Inference procedure -- Inference rule -- Infinitary logic -- Informal logic -- Intensional statement --Interpretability -- Interpretability logic -- Introduction rule --Intuitionistic linear logic -- Intuitionistic logic -- Invalid proof -- Inverse (logic)

J

Johnston diagram

K

Karnaugh map

L

Law of excluded middle -- Law of non-contradiction -- Laws of logic -- Laws of Form -- Linear logic -- Logic -- Logic gate -- Logical argument -- Logical assertion -- Logical biconditional -- Logical conditional --Logical conjunction -- Logical disjunction -- Logical equivalence -- Logical fallacy -- Logical language -- Logical nand -- Logical nor -- Logical operator -- Logicism -- Logic programming

M

Major premise -- Major term -- Mathematical logic -- Mereology -- Metalogic -- Middle term -- Minor premise -- Modal logic -- Modus ponens -- Modus tollens -- Multi-valued logic

N

Naive set theory -- Natural deduction -- Necessary and sufficient -- Negation -- Non-Aristotelian logic -- Nonfirstorderizability -- Non-monotonic logic -- Non sequitur (logic)

O

Open sentence -- Ordered logic

P

Paraconsistent logics -- Paradox -- Pierce's law -- Plural quantification --Polish notation -- Polysyllogism --Predicate -- Principia Mathematica -- Principle of bivalence -- Proof theory -- Proposition -- Propositional calculus -- Provability logic

Q

Quantification -- Quantum logic -- Quod erat demonstrandum

R

Reductio ad absurdum -- Relevant logic -- Rule of inference

S

Satisfiability -- Scholastic logic -- Second-order predicate -- Self-reference -- Sequent -- Sequent calculus -- Sequential logic -- Singular term -- Soundness -- Square of opposition -- Strict conditional -- Strict implication -- Strict logic -- Structural rule -- Sufficient condition -- Syllogism -- Syllogistic fallacy

T

Tautology -- Temporal logic -- Term -- Term logic -- Ternary logic -- Theorem -- Tolerance -- Trilemma --Truth -- Truth condition -- Truth function -- Truth value -- Type theory

U

Unification -- Universal quantification -- Uniqueness quantification

V

Vacuous truth -- Validity -- Venn diagram

Famous logicians

• George Boole
• Abraham Robinson
• Gerhard Gentzen
• Luitzen Egbertus Jan Brouwer
• Haskell Curry
• Gottlob Frege
• Alonzo Church
• Jacques Herbrand
• Dana Scott
• John Barkley Rosser
• Gerhard Gentzen
• Jean-Yves Girard
• David Hilbert
• Kurt Gödel
• William Lawvere
• William Stanley Jevons
• Stephen Cole Kleene
• Alfred Tarski
• Thoralf Skolem
• Saharon Shelah
• Jan Łukasiewicz
• Giuseppe Peano
• Charles Peirce
• W.V. Quine
• Frank P. Ramsey
• Bertrand Russell
• Alfred North Whitehead

See also

• List of rules of inference.
• There is a list of paradoxes on the paradox page.
• There is a list of fallacies on the logical fallacy page.
• Modern mathematical logic is at the list of mathematical logic topics page.
• For introductory set theory and other supporting material see the list of basic discrete mathematics topics.

Mathematics-related lists | Logic