Conjunction
The conjunction is a logical connective that establishes an “and” relationship between two statements. It is commonly symbolized using the “∧” symbol.
a ∧ b
The statements on both sides of the conjunction symbol are called “conjuncts”.
In order for a conjunction to be true, both conjuncts must be true. Thus, if either conjunct is found to be false, the entire conjunction is false.
Let us solidify our understanding using a quick example: “The dog barks (B) and the cat runs away (R)”.
B ∧ R
Given this conjunction, can we say that B is true? Can we say that R is true? Can we say that both B and R are true?
Yes, all three scenarios must be true; or the conjunction is false.
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Enhance your critical thinking skills with Symbols Logic. Unlock access to
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app now:
The conjunction is a logical connective that establishes an “and” relationship between two statements. It is commonly symbolized using the “∧” symbol.
a ∧ b
The statements on both sides of the conjunction symbol are called “conjuncts”.
In order for a conjunction to be true, both conjuncts must be true. Thus, if either conjunct is found to be false, the entire conjunction is false.
Let us solidify our understanding using a quick example: “The dog barks (B) and the cat runs away (R)”.
B ∧ R
Given this conjunction, can we say that B is true? Can we say that R is true? Can we say that both B and R are true?
Yes, all three scenarios must be true; or the conjunction is false.
Want an interactive way to learn logic?
Enhance your critical thinking skills with Symbols Logic. Unlock access to the first studycard and the first level of all activities for free. Get the app now: