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When is a conjunction false?

A conjunction is false only if at least one of the conjuncts is false.

Here's a breakdown:

* Conjunction: A logical statement that combines two or more statements using the word "and" (represented by the symbol "∧").

* Conjuncts: The individual statements within a conjunction.

Example:

* "The sun is shining and the birds are singing."

* This conjunction is true only if both statements are true: the sun is shining and the birds are singing.

* If either statement is false (e.g., the sun is not shining), then the entire conjunction is false.

In simpler terms:

Think of a conjunction like a chain. If one link in the chain is broken (one statement is false), the entire chain (the conjunction) breaks.

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