On Sun, Feb 16, 2020 at 5:16 PM Alan Grayson <[email protected]> wrote:
> On Saturday, February 15, 2020 at 11:04:06 PM UTC-7, Bruce wrote: >> >> On Sat, Feb 15, 2020 at 3:17 PM 'Brent Meeker' via Everything List < >> [email protected]> wrote: >> >>> >>> There is nothing which guarantees that all sequences will occur in any >>> finite sample. >>> >> >> Think again, all 2^N sequences will occur in any set of N trials. >> > > *I think I agree with Brent. On trial 1, another world is created > (according to the MWI) where the outcome is opposite of that trial. On > trial 2, we get yet another world, or possibly the same other world as in > trial 1, where again the outcome is the opposite of that observed in this > world on trial 2. And so forth. The net result is N or less other worlds. > AG* > Do I really have to spell it out? On trial 1. You get worlds marked '0', and '1'. On trial, each of these worlds again splits, so you have four worlds, labelled '11', '10', '01', '00', which is the 2^2 for 2 trials. On the next trial, each of these worlds again splits into 0, and 1 sub-worlds, leading to: '111', '110', '101', '100', '011', '010', '001', '000', which the required 2^3, equals eight worlds, for 3 trials. If you need to go to higher N, go for it, but the end result is the same. After N trials, there are 2^N worlds, covering all possible binary strings of length N. Bruce -- 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 view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAFxXSLQuMqGyZYWOp8xhz-GRMQ%2BUrxppcikwR-OHEbtT%3DPw%2BwQ%40mail.gmail.com.
