List of topics in logic
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This is a list of topics in logic. See also: List of mathematical logic topics
Contents |
[edit] Alphabetical list
[edit] 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
[edit] B
Backward chaining -- Barcan formula -- Biconditional elimination -- Biconditional introduction -- Bivalence and related laws -- Boolean algebra (logic) -- Boolean algebra (structure)
[edit] 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
[edit] 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
[edit] E
Elimination rule -- End term -- Exclusive nor -- Exclusive or -- Existential fallacy -- Existential quantification
[edit] 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
[edit] G
[edit] H
Heyting algebra -- Higher-order predicate -- Horn clause -- Hypothetical syllogism
[edit] 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)
[edit] J
[edit] K
[edit] 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 --language
[edit] M
Major premise -- Major term -- Mathematical logic -- Mereology -- Metalogic -- Middle term -- Minor premise -- Modal logic -- Modus ponens -- Modus tollens -- Multi-valued logic
[edit] N
Naive set theory -- Natural deduction -- Necessary and sufficient -- Negation -- Non-Aristotelian logic -- Nonfirstorderizability -- Non-monotonic logic -- Non sequitur (logic)
[edit] O
Open sentence -- Ordered logic
[edit] 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
[edit] Q
Quantification -- Quantum logic -- Quod erat demonstrandum
[edit] R
Reductio ad absurdum -- Relevant logic -- Rule of inference
[edit] 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
[edit] T
Tautology -- Temporal logic -- Term -- Term logic -- Ternary logic -- Theorem -- Tolerance -- Trilemma --Truth -- Truth condition -- Truth function -- Truth value -- Type theory
[edit] U
Unification -- Universal quantification -- Uniqueness quantification
[edit] V
Vacuous truth -- Validity -- Venn diagram
[edit] 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
[edit] 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.
