Write a short note on If ‘Some philosophers are poets’ is True, then what is the truth value of the following propositions ? All philosophers are poets.

If the proposition "Some philosophers are poets" is true, it indicates that there exists at least one philosopher who is also a poet. However, it does not assert that all philosophers are poets. Therefore, we cannot determine the truth value of the proposition "All philosophers are poets" solely based on the truth of the proposition "Some philosophers are poets."

The proposition "All philosophers are poets" is a universal affirmative statement, implying that every philosopher belongs to the category of poets. For this proposition to be true, every individual classified as a philosopher must also be classified as a poet. Since the original proposition only asserts the existence of some philosophers who are poets, it does not guarantee the universal claim made by the proposition "All philosophers are poets."

Thus, the truth value of the proposition "All philosophers are poets" remains indeterminate based solely on the truth of the proposition "Some philosophers are poets." The latter proposition provides evidence for the former, but it does not establish its truth definitively. To ascertain the truth value of "All philosophers are poets," further information or evidence beyond the statement "Some philosophers are poets" is required.