On 06 Oct 2015, at 02:04, John Clark wrote:

On Mon, Oct 5, 2015, Bruce Kellett <[email protected]> wrote:

​> ​The type of random uniformity typified by a normal number is quite hard to achieve,

​Randomness of any sort is impossible to achieve by a deterministic algorithm, nevertheless nature somehow came up with uncountably infinitely many normal real numbers. ​

Iteration of self-duplication leads to first person randomness of any sort. Trivially.

And maybe that's how nature proceed, but deterministic pseudo- randomness can have its use too.

Bruno




​> ​and even harder to prove.

​Yes, it's far easier to prove things about normal number in general than it is to prove that any particular number is normal; most think pi and e are normal but there is no proof. I think the number you get when you stick all the prime numbers together 135711131719... has like Champernowne's number also been proven to be normal.​

​> ​Anything that fails to be me, necessarily fails by a wide margin

​I disagree, I don't think survival is a all or nothing matter.​ ​Did somebody who was shot in the head and suffered massive brain damage survive? Sort of.​

 John K Clark


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