Faulty logic

So it seems like the good ones are already taken. ...

Let me do a pseudomathematical proof:

assume "everyoneIKnow" !=liars (!= means not equal)
goodOne is a subset of {guys, girls}
me = goodOne (according to everyoneIKnow)
me != taken
hence, goodOnes NOT ALWAYS taken

Therefore, there's a good one that's not yet taken.
Now how do I triangulate her whereabouts?