مستخدم:Chaos/قائمة
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 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
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
K
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
Sets
- Set
- Ordered pair
- Cartesian product
- Power set
- Simple theorems in the algebra of sets
- Naive set theory
- Multiset
Functions
- Function
- How to specify a function
- Domain of a function
- Codomain
- Range of a function
- Image (mathematics)
- Injective function
- Surjection
- Bijection
- Function composition
- Partial function
- Multivalued function
- Binary function
- Floor function
- Sign function
- Inclusion map
Operations
Arithmetic
- Decimal
- Binary numeral system
- Divisor
- Division by zero
- Indeterminate form
- Empty product
- Euclidean algorithm
- Fundamental theorem of arithmetic
- Modular arithmetic
- Successor function
Elementary algebra
- Left-hand side and right-hand side of an equation
- Linear equation
- Quadratic equation
- Solution point
- Arithmetic progression
- Recurrence relation
- Finite difference
- Difference operator
Mathematical relations
- Binary relation
- Mathematical relation
- Reflexive relation
- Reflexive property of equality
- Symmetric relation
- Symmetric property of equality
- Antisymmetric relation
- Transitivity (mathematics)
- Equivalence and identity
Mathematical phraseology
- If and only if (iff)
- Necessary and sufficient
- Distinct
- Difference
- Absolute value
- Up to
- Modulo
- Characterization (mathematics)
- Normal form
- Canonical form
- Without loss of generality
- Vacuous truth
- Contradiction, Reductio ad absurdum
- Counterexample
- Sufficiently large
- Pons Asinorum
- Table of mathematical symbols
Combinatorics
Probability
Propositional logic
Mathematical disciplines
For further reading in discrete mathematics, beyond a basic level, see these pages. Many of these disciplines are closely related to computer science.