An amusing riddle for intellectual masochists.

[Heartless Angel]

Three goddesses summon you for a game of theirs. The prize for victory, an invite to their next orgy (You know you want in). The penalty for failure, a gruesome death (and perhaps a slightly less entertaining orgy with Hades and his friends). They introduce themselves as Aletheia, the Goddess of Truth, Apate, the Goddess of Lies, and Eris, the Goddess of Chaos. The rules are simple. Each of the three Goddesses disguises their form and voice so that they are indistinguishable to your senses. Your objective is to determine the identity of each Goddess. During this game, Aletheia will speak only the truth, Apate will speak only lies, but whether Eris tells the truth or lies is totally up to her, she will choose at random whether to tell the truth or lie if and when she is asked a question (She has to choose at random again each time she is asked a question). They allow you three and only three questions. The questions must be yes-or-no. Each question must be put to exactly one Goddess. Since they have hidden their identities from you, questions should be posed to left, right, or center (1 2 or 3, A B or C, however the hell you want to do it, what's important is that you can not direct a question towards a Goddess by name, you have no way of knowing who is who other than by their answers to your questions). The Goddesses, however; have elected to make your life more difficult. While they speak in your language now, once the game begins, they will only give their answers in the language of the Gods, in which the words for yes and no are "va" and "sa". You do not know which word means which, and they will not answer any questions until the game begins, at which point they will only answer the questions using those terms. You may ask one Goddess more than one question, you may not have to ask a particular Goddess any questions, you don't have to come up with all of your questions at once, you may base your second question on the answer to the first, and the third on the answers to the first and second. There is no pattern to Eris' choice to tell the truth or lie, she will choose at random.