Given the statement......If A, then B.
The converse is..........If B, then A.
The inverse is...........If not A, then not B.
The contrapositive is....If not B, then not A.

Correct me if I'm wrong on the line of thinking here but the logic above seems to be a bit flawed.

If A then B.

"If I have a beard then I am a man" True (presuming that we excluding non-humans

If B then A.

"If I am a man then I have a beard" Not necessarily true

If Not A then Not B

"If I am not man then I don't have a beard" - True (in the strictest sense of the word)

If Not B then Not A

"If I don't have a beard then I am not a man" - definitely not true

Okay, the definitions of the words are correct. I just have a problem with the faulty logic.