List of topics in logic
From Wikinfo
This is a list of topics in logic, by Wikipedia page. 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. There is a more complete list of logicians. For introductory set theory and other supporting material see the list of basic discrete mathematics topics.
Contents |
A
Abacus logic -- Abduction (logic) -- Affirming the consequent -- Antecedent -- Antinomy -- Argument form -- Aristotelian logic -- Axiom -- Axiomatic system -- Axiomatization
B
Biconditional elimination -- Biconditional introduction -- Bivalence and related laws -- Boolean algebra
C
Categorial logic -- College logic -- Combinatorial logic -- Combinatory logic -- Conditional -- Conditional proof -- Conjunction elimination --Conjunction introduction -- Conjunctive normal form -- Consequent --Contradiction -- Contrapositive -- Converse (logic) -- Curry's paradox
D
De Morgan's laws -- Deductive reasoning -- Denying the antecedent --Disjunction elimination -- Disjunction introduction -- Disjunctive normal form -- Disjunctive syllogism -- Double negative elimination
E
Exclusive disjunction -- Existential quantification
F
First-order predicate - First-order predicate calculus - First order resolution -- Fluidic logic --Free variables and bound variables -- Fuzzy logic
H
Heyting algebra -- Higher-order predicate -- Horn clause
I
Iff -- Inductive logic -- Inductive logic programming -- Intuitionistic logic -- Invalid proof -- Inverse (logic)
K
L
Law of excluded middle -- Law of non-contradiction -- Laws of logic -- Logic -- Logic gate -- Logical assertion -- Logical biconditional -- Logical conditional --Logical conjunction -- Logical disjunction -- Logical equivalence -- Logical fallacy -- Logical nor -- Logical operator -- Logicism -- Logic programming
M
Metalogic - Modus ponens -- Modus tollens -- Multi-valued logic
N
Naive set theory -- Natural deduction -- Necessary and sufficient -- Negation -- Non-Aristotelian logic -- Non-monotonic logic
O
P
Paraconsistent logics -- Paradox -- Polish notation -- Predicate -- Principia Mathematica -- Principle of bivalence -- Proof theory -- Proposition -- Propositional calculus
Q
Quantification -- 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 -- Sufficient condition -- Syllogism
T
Tautology -- Temporal logic -- Term logic -- Ternary logic -- Theorem -- Truth -- Truth value -- Type theory
U
Unification -- Universal quantification -- Uniqueness quantification
V
Vacuous truth -- Validity -- Venn diagram
Famous Logicians
- George Boole
- Luitzen Egbertus Jan Brouwer
- Haskell Curry
- Gottlob Frege
- Gerhard Gentzen
- [[Kurt G�del]]
- William Stanley Jevons
- Stephen Cole Kleene
- Jan Łukasiewicz
- Giuseppe Peano
- Charles Peirce
- W.V. Quine
- Frank P. Ramsey
- Bertrand Russell
- Alfred North Whitehead
References
- Adapted from the Wikipedia article, "List_of_topics_in_logic" http://en.wikipedia.org/wiki/List_of_topics_in_logic, used under the GNU Free Documentation License

