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Anonymous at Fri, 1 Nov 2024 18:07:32 UTC No. 16458559

If you had infinite monkeys on typewriters, would it be possible for them all to press the same key at the same time step? Unlikely, sure. But actually impossible? I see no reason why. And similarly, would it be possible for none of the monkeys to press a particular key? Again, unlikely. But why should it be absolutely impossible?

The probability of these events is infinitesimally small, but not "0" as such. Neither is a repeat of such events.

It is conceivable that you could wait a billion years, and none of the monkeys will have typed Shakespeare. You could wait another 10 trillion years, and still no Shakespeare. Any finite amount of time, wait as long as you like, and theoretically, you may have no Shakespeare.

Since it's not possible to traverse an infinite amount of time, you can never say "I have waited an infinite amount of time".

You may never actually reach the point where one of the monkeys has typed Shakespeare's works. Unlikely, sure. But theoretically possible.