Proof is in the pudding i.e. the resultant you desire, arrives via your logic, then no worries.
I don't disagree. This is mostly a thought experiment that has very little practical application.
Is there some aspect of Universe you dont understand? Even if you dont understand others do or may claim that they do.
Well, no one understands all of the universe, so yes, there are aspects of the universe I don't understand.
Scientists claim there exist 1st law of thermodynamics because no evidence of other such conclusions exist to date.
I agree, but this illustrates my point. This is a logical statement. Using logic to show why logic is valid is circular.
To be clear, I'm not saying that logic isn't valid. It's just that we can't prove it, so we can't be 100% certain, just 99.999...% certain.