If one applies any intellectual rigor to the question at all, the ample information to which you refer makes it clear why you refuse to define "gender", "man",

If one applies any intellectual rigor to the question at all, the ample information to which you refer makes it clear why you refuse to define "gender", "man", or "woman"; you cannot. Your assertions are prima facie undecidable, and it's not merely that you're unwilling to defend them — you cannot defend them.