homo sapiens = "thinking man".

but homo means self or same. so it's self aware or self thinking, not thinking man.

other examples of homo: homogenous doesn't have anything to do with being men, it has to do with being made of the same material throughout. homosexual one who likes people of the same sex, not one who likes men, because women can be homosexual too.

so doesn't homo sapiens sapiens indicate awareness of one's self awareness rather than a man who thinks he can think? you don't get "men" until you define the phrase, so you can't use "men" in the definition.