An axiom is a truth nobody can prove. For example, everyone knows that one equals one, but there is no formal proof. However, when one tries to do arithmetic by ignoring that axiom and, say, letting one equal two, then very quickly the math descends into chaos and absurdity. There is no getting around an axiom, even though one cannot prove it.
A similar principle applies to the social sciences. It was an accepted axiom of society that men are men and women are women. No longer. That axiom has been rejected by some elements of society, and the absurd consequences are becoming more apparent all the time.
The late Betty Friedan, a so-called pioneer of the radical feminist movement, once said the only difference between men and women is biological “packaging” – that is to say superficial appearance. It would follow that by changing one’s external appearance, one can change his sex. Liberals accept this as an axiom.
Science clearly refutes this, but radical leftists, and even some conservatives on the more libertarian side, manage to ignore the science, despite growing evidence that the transgender doctrine is harmful to individuals and to society in general.
The science says maleness and femaleness are the two necessary and complementary halves of the human species. They have different functions that serve each other. Morally speaking, the sexes are equal but not equivalent, and that seems to be a point of major confusion to liberals.