> On 6 Oct 2015, at 7:19 AM, John Clark <[email protected]> wrote: > > On Sun, Oct 4, 2015 5, Bruce Kellett <[email protected]> wrote: >>>> >> If the universe is infinite and not just huge then a finite >>>> distance away there IS a person identical to our Bruce 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. > > If the Universe is infinite and if it is "normal" then it has to be > true. A number is called "normal" if it is a infinite irrational > number and the average number of times a digits 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 numbers 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: > 0.123456789101112131415161718192021... > > 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.
If it is not normally distributed that would mean some structures but not others repeat. There could be infinite copies of Bruce but only one John. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
