Check whether the following sentence is a statement. Give reasons for your answer.
"Every set is a finite set."
"Every set is a finite set."
(N/A) sentence is considered a statement in logic if it is either true or false,but not both.
The sentence "Every set is a finite set" is a declarative sentence.
Since there exist infinite sets (e.g.,the set of all natural numbers $\mathbb{N}$),the statement "Every set is a finite set" is false.
Because the sentence has a definite truth value (it is false),it is a statement.
The sentence "Every set is a finite set" is a declarative sentence.
Since there exist infinite sets (e.g.,the set of all natural numbers $\mathbb{N}$),the statement "Every set is a finite set" is false.
Because the sentence has a definite truth value (it is false),it is a statement.
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