> On 6 Oct 2015, at 7:19 AM, John Clark <johnkcl...@gmail.com> wrote: > > 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 >>>> 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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
