"A ⇒ B is true only in the case that either A is false or B is true, or both."
Material implication, in classical logic, is simply a binary operator, like AND or OR. It implies nothing about the relationship between A and B beyond their truth values.
I think you're trying to read more into it than is there.
![[Image: extraordinarywoo-sig.jpg]](https://i.postimg.cc/zf86M5L7/extraordinarywoo-sig.jpg)