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Logically speaking, with infinite stars, infinite planets, infinite universes, you will also
have infinite possibilities.
The so-called infinite monkey theorem has its roots in Aristotle's attempts to illustrate
the perils of thinking about infinity.1
Ask a monkey to type, or ask an infinite number of monkeys to type, for an infinite amount
of time. You're sure to get a lot of random letters.
But there is a chance, however small, that somewhere, some how, you'll get the full text
of Shakespeare's Hamlet.
It's clearly absurd.
1 http://en.wikipedia.org/wiki/Infinite_monkey_theorem