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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Similar Questions
State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
To apply for a driving licence,you should have a ration card or a passport.
To apply for a driving licence,you should have a ration card or a passport.
Easy
View SolutionThe contrapositive of the statement 'If Jaipur is the capital of Rajasthan,then Jaipur is in India' is:
$(p \wedge r) \Leftrightarrow (p \wedge (\sim q))$ is equivalent to $(\sim p)$ when $r$ is.
Among the given statements below,which one is a tautology?
If $\sim p \vee q$ is false, then which of the following is correct?
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