But it doesn't say anything about how to determine whether something is a logical truth or not, it seems basically impossible, for instance, this segment:

This is to say that they are considered to be such that they could not be untrue and no situation could arise which would cause us to reject a logical truth. It must be true in every sense of intuition, practices, and bodies of beliefs. However, it is not universally agreed that there are any statements which are necessarily true.

This is clearly impossible, how are you ever going to know that your logical truth is actually a logical truth? You simply cannot test it in ''all situations''. Logically, logical truths are not logical, LOL.