Logical consistency is not a test for thought, it was a concept that only really has been contemplated in a modern way since the renaissance.

One of my favorite philosophers is Mozi, and he was writing long before logic; he's considered as one of the earliest thinkers who was sure that there was something like logic, and and also thought that everything should be interrogated by it, even gods and kings. It was nothing like what we have now, more of a checklist to put each belief through ("Was this a practice of the heavenly kings, or would it have been?", but he got plenty far with it.

LLMs are dumb, they've been undertrained on things that are reacting to them. How many nerve-epochs have you been trained?