Question

Which of the following sentences are statements in logic? Justify your answer.

i \(\pi\) is a real number.

ii. 5! = 120

iii. Himalaya is an ocean and Ganga is a river.

iv. Please get me a cup of tea.

v. Bring me a notebook.

vi. Alas ! We lost the match

vii. cos 2\(\theta\) = cos²\(\theta\) -sin²\(\theta\), for all \(\theta\) \(\in\) R.

viii. If x is a real number then x² \(\geq\) 0.

Answer 1

i. It is a statement.

ii. It is a statement.

iii. It is a statement.

iv. It is an imperative sentence, hence it is not a statement.

v. It is an imperative sentence, hence it is not a statement.

vi. It is an exclamatory sentence, hence it is not a statement.

vii. It is a statement.

viii. It is a statement.