Must logic exist?

[Anomalocaris]

Is it possible for logic to not exist? Must it exist?

If logic doesn't exist then, logically, that means it doesn't exist.... but since that logically means it mustn't then isn't that logical so therefore it must?

Logic as traditionally understood is an examination of arguments. No one to make the argument, no logic. No one to examine the argument, no logic. If there is everything else, except one to make or examine the argument, still no logic. Everything else might still be logically comprehensible if there were logic, but that by itself is not enough to conjure logic into existence.