Category:Disjunction
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This category contains results about the disjunction operator of propositional logic.
Definitions specific to this category can be found in Definitions/Disjunction.
Disjunction is a binary connective written symbolically as $p \lor q$ whose behaviour is as follows:
- $p \lor q$
is defined as:
- Either $p$ is true or $q$ is true or both $p$ and $q$ are true.
This is called the disjunction of $p$ and $q$.
$p \lor q$ is voiced:
- $p$ or $q$
Subcategories
This category has the following 30 subcategories, out of 30 total.
A
- Absorption Laws (Logic) (10 P)
B
C
- Constructive Dilemma (6 P)
D
- De Morgan's Laws (Logic) (50 P)
- Destructive Dilemma (6 P)
- Disjunction with Tautology (3 P)
E
- Examples of Disjunctions (3 P)
F
- Factor Principles (24 P)
L
M
- Modus Tollendo Ponens (20 P)
N
P
- Principle of Composition (5 P)
- Proof by Cases (21 P)
R
- Rule of Addition (23 P)
- Rule of Association (16 P)
- Rule of Commutation (16 P)
- Rule of Distribution (37 P)
- Rule of Idempotence (15 P)
- Rule of Material Implication (19 P)
Pages in category "Disjunction"
The following 58 pages are in this category, out of 58 total.
C
- Commutative Law
- Conditional iff Biconditional of Consequent with Disjunction
- Conditional is Left Distributive over Disjunction
- Conjunction Absorbs Disjunction
- Conjunction Distributes over Disjunction
- Conjunction iff Biconditional of Biconditional with Disjunction
- Conjunction implies Disjunction
- Conjunction implies Disjunction of Conjunctions with Complements
- Conjunction is Left Distributive over Disjunction
- Conjunction of Disjunction with Negation is Conjunction with Negation
- Conjunction of Disjunctions Consequence
- Conjunction of Disjunctions with Complements implies Disjunction
- Constructive Dilemma
D
- De Morgan's Laws (Logic)
- Destructive Dilemma
- Disjunction Absorbs Conjunction
- Disjunction and Conditional
- Disjunction Distributes over Conjunction
- Disjunction has no Inverse
- Disjunction in terms of NAND
- Disjunction in terms of NOR
- Disjunction is Associative
- Disjunction is Commutative
- Disjunction is Left Distributive over Conjunction
- Disjunction is Right Distributive over Conjunction
- Disjunction of Conditional and Converse
- Disjunction of Conditionals
- Disjunction of Conjunctions
- Disjunction with Contradiction
- Disjunction with Tautology