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# Thread: The Infinite Monkey Principle

1. Originally Posted by nick mulder
Hang on - 'the first ooops' and what exactly is over ?
Well not a small oops but a big oops, like turning the lights on after opening all the packages of photographic paper, but now that sounds kind of dumb after all these smart theorists have contributed their pieces.

2. Originally Posted by Dan Henderson
Actually, I think you regressed, not digressed.
You're probably right, but I hope you also knew I was just clowning. Those who know me in real life know that my vocabulary is mighty rich and colorful, I just don't like to wear it as my outer layer of clothing.

3. I think it is very interesting that Perry first began formulating these thoughts about photography and infinity on May 25, which is universal Towel Day, in honor of Douglas Adams, author of the Hitchhiker's Guide to the Galaxy. Adams's characters traveled around the Universe in the Heart of Gold, a spaceship powered by the infinite improbability drive. Read the Guide, and you'll become a believer in what an infinite number of monkeys can do. Anyway, assuming Perry is not aware of Towel Day, what were the chances that he'd come up with this infinity question on that very day?

4. (on whether pi contains all finite substrings)

Originally Posted by Q.G.
Yes, we do.
It doesn't.
Cool. Do you know where I can find a sketch of the proof?

We *do* know that as n increases, the probability of finding a given substring in the first n digits approaches 1, right?---which I think means that the finite substrings of pi are dense in the space of all finite strings of digits.

-NT

5. Originally Posted by ntenny
(on whether pi contains all finite substrings)

Cool. Do you know where I can find a sketch of the proof?

We *do* know that as n increases, the probability of finding a given substring in the first n digits approaches 1, right?---which I think means that the finite substrings of pi are dense in the space of all finite strings of digits.

-NT

6. The Infinite Monkey should be a superhero.

7. Originally Posted by Q.G.
Wasn't that Shakespeare's theorem that ntenny was quoting?

8. Originally Posted by Q.G.
I'm not sure what you're saying here. Is your point just that _Hamlet_ isn't written in digits, and therefore the decimal expansion of pi doesn't "contain" it in a literal sense?

(Which of course is true, but there are plenty of ways to represent text numerically, and I think most of us are talking through that relationship transparently.)

-NT

9. Originally Posted by ntenny
I'm not sure what you're saying here. Is your point just that _Hamlet_ isn't written in digits, and therefore the decimal expansion of pi doesn't "contain" it in a literal sense?

(Which of course is true, but there are plenty of ways to represent text numerically, and I think most of us are talking through that relationship transparently.)

-NT
If so, the opening words of Hamlet are right there, right after the decimal point. And next to that. And in the first place it is combined with the second place, all in one. And ...

And not just in Pi.
Also in you social security number. The zip code of your local library. The ... [etc. The possibilities are infinite].

So given an infinity, is it there?
Of course not. Infinity does not exist.

10. Originally Posted by Q.G.
So given an infinity, is it there? Of course not. Infinity does not exist.
BINGO! That's the answer I was waiting for!

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