List of topics in logic

This is a list of topics in logic. See also: List of mathematical logic topics

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 (logic) -- Boolean algebra (structure)

C
Categorical logic -- Clocked logic --Cointerpretability --College logic -- Combinatorial logic -- Combinatory logic -- Computability logic -- Conditional -- Conditional proof -- Conjunction elimination --Conjunction introduction -- Conjunctive normal form -- Consequent -- Constructive dilemma -- 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
See also: list of 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