To be or not to be. That is the question. What question? To be or not to be alive or dead? Isn't that an assumption?

It could be

To be or not to be loyal
To be or not to be truthful
To be or not to be greedy
To be or not to be kind
To be or not to be just
To be or not to be charitable
To be or not to be unselfish
To be or not to be dependable
To be or not to be pleasant
To be or not to be cruel
To be or not to be vicious
To be or not to be FITB

I know. The rest of the quotation speaks of death but also speaks of sleep or perchance to dream

For in the sleep of death what dreams may come. What? In the sleep of death we dream?