Lmao yeah
Sorry I was eating, late response
Anyways I view logic as far less of a "tangible" thing for lack of a better word. I think it's more of a theoretical concept than the machinations of the universe. Physics do not necessarily equal logic, but our logical thinking has allowed us to understand more about physics. The how. I see it as an intelligent beings ability to reason rather than fact or anything objective. So, if all intelligent life were gone, there would be no logic in that definition as there is nothing left to think.
Meaningless beings we may be, (obviously still in my opinion, don't know anything with 100% certainty and I don't think we ever can), we still have extremely complex brains that can be too smart for our own good. We, being arguably the most intelligent beings on the planet by a landslide, are so attached to our reason that I believe it is difficult if not impossible to comprehend something without meaning for some. Think of the old mythologies, explanations for thunder, rain, lightning, fire, rainbows. Of lightning strikes being born from thorns hammer mjolnir, or rainbows being the bridge to Asgard. All made by people, and seem ridiculous now that we have advanced in science. There is a pattern here, of us humans being uncomfortable with not knowing something, then fabricating a meaning to make us feel secure.