On Sun, Oct 4, 2015  5, Bruce Kellett <bhkell...@optusnet.com.au> wrote:

> ​>>​
>> ​ If
>> ​
>>  the universe is infinite and not just huge then a finite
>> ​d​
>> istance away there *IS* ​a
>> ​ person identical to ​our
>> ​B​
>> ruce Kellet
>> ​ in every way EXCEPT he's ​named John Clark not
>> Bruce Kellet
>> ​
>> In fact there are a infinite number of them.
>
> ​> ​
> Prove it! And I mean *prove*, not just wave your hands a bit.
>

​I
f the Universe is infinite and if it is "normal"
​then ​
i
​t​
has to be true.
​ ​
A
​ ​
number is called
​"​
​
norm
​a​
​l​
​"​
 if it is a infinite irrational number
​ ​and

the average number of times a di
gits
​​
in base b
​occurs ​
gets closer and closer to 1/b as larger portions of the sequence are
examined. In other words
​it's normal if ​
in the decimal expansion of the number one digit is not more common than
another. If a number is normal then any finite sequence of number
​s​
you can name exists a finite distance to the right of the decimal point.
​We know that almost all real numbers are normal but only a very few
particular numbers have been proven to be so; one that has been proven to
be normal is
Champernowne
​'s​
constant
​:​
​ ​
0.12345678910111213141516
​1718​
​192021...​

At some finite distance to the right of the decimal point is your telephone
number and your social security and your credit card number, and if every 2
digits encodes a letter or a punctuation mark in the English language then
at some finite distance to the right of that decimal point all 7 Harry
Potter novels are encoded back to back.

But is the matter in the universe distributed normally? My intuition says
yes but I can't prove it.

​> ​
> PS. If the copy is named 'Bruce Kellet', then it is not me, because that
> is not my name!
>

​Agreed, close but no cigar. So there are a infinite number of things that
are
Bruce Kellet
​ and there are a infinite number of things that are *almost* ​
​
Bruce Kellet
​.​

  John K Clark

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