Minor quibble, logic is generally perfectly fine with things that are non-falsifiable, so long as a truth value can be hypothesized, we can use logic just fine.

Minor quibble, logic is generally perfectly fine with things that are non-falsifiable, so long as a truth value can be hypothesized, we can use logic just fine. It's science that doesn't have anything to say about unfalsifiable situations (metaphysics, negative statements, etc). We've really left the realm of empiricism, not logic.