Q.Check whether the following sentences are statements. Give reasons for your answer.

A declarative sentence is a statement only if it has a definite truth value (true or false), not both, and not dependent on the person or place.

1. "8 is less than 6." This has a definite truth value — it is false. It is a statement.
2. "Every set is a finite set." This is definitely false (e.g., the set of natural numbers is infinite). It is a statement.
3. "The sun is a star." This is definitely true (a scientific fact). It is a statement.
4. "Mathematics is fun." Whether this is true or false depends on the person judging it — it is a matter of opinion, not a fixed truth value. It is not a statement. …

Ask two questions of the sentence: (1) Is it declarative (not a question, command, or exclamation)? (2) Does it have exactly one truth value — always true or always false — …

• Treating opinions ("fun", "beautiful", "difficult") as statements just because they are declarative in form — they lack a fixed truth value. …