This was the theme of the August 9, 1987 NY Times Sunday Crossword by T. W. Underhill. No wonder people have trouble learning English!
antilogous – of the contrary name or character; the opposite of analogous
So antilogous words are ones that mean opposite things given their usage. Some examples-
oversight – an unintentional omission or a mistake as well as watchful care and supervision.
sanction – to allow or encourage as well as to punish so as to deter.
Can you think of others?