List of topics in logic
From Academic Kids
This is a list of topics in logic.
| Contents |
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
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
- 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
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.
