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Joined: Oct 2005
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If you were to randomly generate integers for infinite time, are you guaranteed to get a specific number? (eg, are you guaranteed to generate the number 10 at some point?)

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It's been many years since I've taken a stats class, but I'd say there is no guarantee. I'm not even sure how to determine the probability of getting a specific number when the possibilities are infinite and the number of samples are infinite. What's infinity/infinity?


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Infinity does not have number properties; you can't add to it, subtract from it or multiply or divide by it.

And I just realized that I did not properly specify infinity, let me explain. If I were to take infinity even numbers away from infinity numbers I would still have infinite odd numbers. So infinity - infinity = infinity. But that is only because infinity is not properly defined. That is why I came up with this ingenious notation for infinity.

∞1 = every number (all multiples of 1)
∞2 = every even number (all multiples of 2)
=> ∞1 - ∞2 = all odd numbers

and so, when we specify infinity in the correct manor we see that ∞1 - ∞1 = 0

In proper notation the number after infinity should be in subscript. And please, if you use this notation, refer to it as the ?Miller notation?

Now to correct my original question: both the infinities I mentioned in the original question were ∞1.

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The uncertainty principle eliminates any possibility of certainty.

But there is one heck of a very high probability.


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How you intend to perform the experiment?

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...an experiment is impossible because it would last for ever.

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'...an experiment is impossible because it would last for ever.'

or for just one roll of the die (you may get 10 on the first go). smile


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I don't believe it! Censorship has reached scienceagogo! Rusty you fiend!

And now for something relevant, have mathematicians ever seriously studied infinity or the concept of infinity?
All I get when I look it up is rubbish like [∞ = (-∞)]which I have just disproved with my amazing notation idea.
Is there some sort of secret underground society of mathematicians (like the present day illuminati) that has actually done a full analysis of infinity? If any of you have any connections with such people, please tell me all about their research.

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Rusty ... you censored something?

Yeah Rusty!

Three cheers for Rusty!
Hip hip hooray!
Hip hip hooray!
Hip hip hooray!

For he's a jolly good fellow.
For he's a jolly good fellow.
For he's a jolly good fellow.
Which nobody can deny!

A drink to you my good man!


DA Morgan
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Mathematics has an elaborate theory of infinity with many open questions.
Try Googling "infinte set".

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Quote:
Originally posted by DA Morgan:
Rusty ... you censored something?

Yeah Rusty!

Three cheers for Rusty!
Hip hip hooray!
Hip hip hooray!
Hip hip hooray!

For he's a jolly good fellow.
For he's a jolly good fellow.
For he's a jolly good fellow.
Which nobody can deny!

A drink to you my good man!
*sigh* When I edit no one notices; when I delete no one cheers. *sex discrimination* wink

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Perhaps when you do it no one complains. ;-)

Rose I applaud you for every time you have done so and not just made the threat!

Now take a good look at what Kate posted in the Science forum: "Climate Musings Spark Religious Brouhaha." Surely this belongs under "Not Quite Science" or "Avain Flu." ;-)

Sorry Rose ... I don't like to offend a woman that carries a shotgun.


DA Morgan

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