Bfh-sts: Created page with "= Commutative laws = The commutative laws state that the order of propositions does not affect the truth value of conjunction or disjunction. == Statements == * p ∧ q ≡ q ∧ p * p ∨ q ≡ q ∨ p == Explanation == The logical value of a conjunction or disjunction remains unchanged when the order of the operands is swapped. == Examples == * "I study AND I pass the exam" is equivalent to "I pass the exam AND I study". * "It rains OR it snows" is equivalent to "I..."

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Created page with "= Commutative laws = The commutative laws state that the order of propositions does not affect the truth value of conjunction or disjunction. == Statements == * p ∧ q ≡ q ∧ p * p ∨ q ≡ q ∨ p == Explanation == The logical value of a conjunction or disjunction remains unchanged when the order of the operands is swapped. == Examples == * "I study AND I pass the exam" is equivalent to "I pass the exam AND I study". * "It rains OR it snows" is equivalent to "I..."

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= Commutative laws =

The commutative laws state that the order of propositions does not affect the truth value of conjunction or disjunction.

== Statements ==
* p ∧ q ≡ q ∧ p
* p ∨ q ≡ q ∨ p

== Explanation ==
The logical value of a conjunction or disjunction remains unchanged when the order of the operands is swapped.

== Examples ==
* "I study AND I pass the exam" is equivalent to "I pass the exam AND I study".
* "It rains OR it snows" is equivalent to "It snows OR it rains".

== Truth Table (Conjunction) ==
{| class="wikitable"
! p !! q !! p ∧ q !! q ∧ p
|-
| T || T || T || T
|-
| T || F || F || F
|-
| F || T || F || F
|-
| F || F || F || F
|}

== Truth Table (Disjunction) ==
{| class="wikitable"
! p !! q !! p ∨ q !! q ∨ p
|-
| T || T || T || T
|-
| T || F || T || T
|-
| F || T || T || T
|-
| F || F || F || F
|}

[[Category:Propositional logic (Aussagenlogik)]]
[[Category: Diskrete Mathematik I (BZG1155pa) 25/26]]

Commutative laws - Revision history