Re: Primes: Randomness and Prime Twin Proof

Martin Winer wrote:
But probably, now that I think about it, you will just say that
the slob's machine wasn't "random". In other words, when the
true random number generator generates a number that doesn't
look random, you're allowed to throw it out?? Or that slot
machines predetermined by random numbers aren't random??
It's pretty hard to counter any claim that you *do* make when
your word "random" hasn't been precisely defined. Well, maybe

You made a valiant attempt to guess my next move, however, despite my
'non-existent' definition of random, I precisely define a random
bitstring to be of infinite length.

In looking back on my earlier response, I see that I didn't
comment on this statement. My comment is this: you are
trying to define the problem away, and it won't work, because
you can't show that your definition of random has anything to
do with how other people use that word. Indeed you seem to
realize this because later you say...


Hence the binary expansion of 3/4 is finite length, and necessarily not
random.

Proof an finite length pattern cannot be random? Random is hard to
define, not random is easy though...

....and if you really believed that yours was *the* definition of
random, then it isn't difficult at all, contrary to this last sentence.

[snip rest]

.

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