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by constantcrying 701 days ago
>Isn't it a property of infinity? If pi goes on infinitely without repeating itself, every possible combination of numbers appears somewhere in pi.

No. Example: 0.1011011101111011111... does never repeat, yet there is no 2 in there, neither is there 00 in there.
2 comments
onion2k 701 days ago
The fact you can't encode arbitrary data in a structured-but-irrational number doesn't mean you can't encode data in a 'random' irrational number.

The question is really 'Does every series of numbers of arbitrary finite length appear in pi?' I can't answer that because I'm not a mathematician, but I also can't dismiss it, because I'm not a mathematician. It sounds like a fair question to me.

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constantcrying 701 days ago
>I can't answer that because I'm not a mathematician

So what? Mathematicians can't answer it either. It is an open question and because it is an open question claiming it is or isn't true makes no sense.

>The fact you can't encode arbitrary data in a structured-but-irrational number doesn't mean you can't encode data in a 'random' irrational number.

You can not encode data in a random number. If it is random you can not encode data in it, because it is random. I am not sure what you are saying here.

I demonstrated that numbers where the digits go on forever and never repeat exist, which don't contain every single possible substring of digits. Therefore we know that pi can either be such or a number or it is not, the answer to that is not known. Definitely it is not a property of pi being infinitely long and never repeating.

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onion2k 700 days ago
You can not encode data in a random number

That's why I put random in quotes. Pi is not a random number. You can encode data in it eg find a place that matches your data and give people the offset. That's not very helpful for most things though.

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fragmede 700 days ago
just index on the number of ones. Ex 0.10110 there are two ones in a row, so reference those two ones to be the number two. For 00, flip it and refer to the same pair of ones.
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constantcrying 700 days ago
That is totally missing the point. Of course for every number there is an encoding that contains all pieces of information.

That obviously applies to 0.00... = 0 as well, it contains 0, then 00, then 000 and so on. So every number and therefore every piece of information is contained in 0 as well, given the right encoding. Obviously if you can choose the encoding after choosing the number all number "contain" all information. That is very uninteresting though and totally misses the point.

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