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List Of Topics In Logic

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 --Disjunction elimination -- Disjunction introduction -- Disjunctive normal form -- Disjunctive syllogism -- Double negative -- Double negative elimination

E

Elimination rule -- End term -- Exclusive disjunction -- 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

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 -- Informal logic -- Intensional statement --Interpretability -- Interpretability logic -- Introduction rule --Intuitionistic linear logic -- Intuitionistic logic -- Invalid proof -- Inverse (logic)

J

Johnston diagram

K

L

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

M

Major premise -- Major term -- 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

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:(QED)

R

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

S

Satisfiability -- Scholastic logic -- Second-order predicate -- Self-reference -- Sequent -- Sequent calculus -- Sequential logic -- Sheffer stroke -- 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

Related topics

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.

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