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 (logical) 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 (17 P)
R
- Rule of Material Implication (19 P)
- Rule of Transposition (45 P)
Pages in category "Logical Negation"
The following 29 pages are in this category, out of 29 total.
C
- Conditional is Equivalent to Negation of Conjunction with Negative
- Conjunction is Equivalent to Negation of Conditional of Negative
- Conjunction of Disjunction with Negation is Conjunction with Negation
- Conjunction with Negative is Equivalent to Negation of Conditional
- Contradiction is Negation of Tautology
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 Conditionals
- Non-Equivalence as Equivalence with Negation