Hippias is happy for Socrates to publicize Hippias' ability in calculation, geometry, and astronomy, although Hippias' ability to lie and tell the truth in all these fields would seem to aid Socrates' general argument that the false and the true man are one and the same. Hippias is supposed to be defending the position that the true man is better than the false man, who is someone else (just as Achilles is supposed to be better than Odysseus).