Esse aut non esse

If you love Shakespeare, Latin, or ever had any illusion that it is possible to arrive at "a" "correct" translation from one language to another, read on...

Esse aut esse non, illa quaestio est = To be or not to be, that is the question.
Is the Latin correct in the above equation?

http://www.textkit.com/greek-latin-forum/viewtopic.php?f=3&t=11013