Category:Logical Negation
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This category contains results about the negation operator of propositional logic.
Definitions specific to this category can be found in Definitions/Logical Negation.
The logical not or negation operator is a unary connective whose action is to reverse the truth value of the statement on which it operates.
- $\neg p$ is defined as:
- $p$ is not true
- It is not the case that $p$ is true
- It is false that $p$
- $p$ is false.
Thus the statement $\neg p$ is called the negation of $p$.
$\neg p$ is voiced not $p$.
Subcategories
This category has the following 24 subcategories, out of 24 total.
C
D
- De Morgan's Laws (Logic) (50 P)
- Destructive Dilemma (6 P)
E
- Examples of Logical Negation (2 P)
M
- Modus Ponendo Tollens (13 P)
- Modus Tollendo Ponens (20 P)
N
P
- Principle of Dilemma (13 P)
- Proof by Contradiction (15 P)
R
- Rule of Material Implication (16 P)
- Rule of Transposition (40 P)
Pages in category "Logical Negation"
The following 30 pages are in this category, out of 30 total.
C
D
N
- Negation implies Negation of Conjunction
- Negation of Conditional implies Antecedent
- Negation of Conditional implies Negation of Consequent
- Non-Equivalence
- Non-Equivalence as Conjunction of Disjunction with Disjunction of Negations
- Non-Equivalence as Conjunction of Disjunction with Negation of Conjunction
- Non-Equivalence as Disjunction of Conjunctions
- Non-Equivalence as Disjunction of Negated Implications
- Non-Equivalence as Equivalence with Negation