MLUG: Re: [MLUG - DISCUSSION] fun math thing
Re: [MLUG - DISCUSSION] fun math thing
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Mike Miller wrote:
On Thu, 1 Jun 2006, Stephen Montgomery-Smith wrote:

Another point of discussion - it is theoretically a certainty that if you give a monkey a typewriter, and an infinite life, that eventually it will type the complete works of Shakespeare. But it is practically impossible that this will ever happen.


You have to make an assumption about the way the monkey will use the typewriter. For example, if it types random keys, it will eventually do as you say. It will also do it infinitely many times. Sometimes, when it types Hamlet, it will get every single bit of it just like the original except that it will type "To be or not to banana?" in the soliloquy.

Except that if you do the calculations and make very rough estimates of how long it will take for the monkey to get even the first 100 letters of any of the plays, you will find that we are dealing with gadzillions of lifetimes of the universe - even the very particles of which the monkey are composed are going to fall apart long before any decent semblence of a work of Shakespeare is going to appear. And replacing monkeys with super fast and reliable computers isn't going to help - the kinds of times and reliabilities required are quite simply beyond possibility. To get Shakespeare in this way is completely impossible.


Stephen

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