[DrNo]

If you put two lemmas together, do you get a dilemma?

Eggszactly!!

As I understand it, it means two ways or two ditections.

I'll see your dilemma and raise you an analemma!

[talleyman]

I'll see your dilemma and raise you an analemma!

I fold. (I was trying to draw to an inside infinity.)

[warchild9]

I was made to understand that "dilemma" was derived from grabbing the two horns of a mad bull. You can hang on to both, but letting go of either invited disaster.
Similarly: an unresolvable problem.