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

If the proposition "Some philosophers are poets" is true, it confirms the existence of at least one philosopher who is also a poet. However, it does not necessarily imply that all poets are philosophers. Therefore, the truth value of the proposition "Some poets are philosophers" must be assessed considering this information.

The proposition "Some poets are philosophers" is a particular affirmative statement, suggesting that there are poets who also belong to the category of philosophers. Given that "Some philosophers are poets" is true, it provides evidence for the existence of at least one individual who is both a philosopher and a poet. However, it does not guarantee that all poets are philosophers.

Since the proposition "Some philosophers are poets" establishes the existence of a subset of individuals who are both philosophers and poets, it indirectly supports the proposition "Some poets are philosophers." The coexistence of philosophers who are poets provides a basis for the potential truth of the statement that some poets are also philosophers.

Therefore, if "Some philosophers are poets" is true, it offers support for the truth of the proposition "Some poets are philosophers." However, the truth value of the latter proposition ultimately depends on whether there are poets who are also philosophers beyond those established by the truth of the former proposition.