HERC777
Posts:
433
Registered:
12/13/04


Re: say I flip a coin 100 times...
Posted:
Apr 17, 2005 7:04 PM


>probability that Herc's first n tosses match any of the >first n sequences is zero, for all n, so the limit as n >tends to infinity is also zero.
>In this case, Herc must form a new sequence, because we know >his sequence is different in at least one place from each of
not only has this conclusion been proven wrong it is a non sequitur. as n tends to infinity, the sequence is different at the nth place.
0.9.. is different to 0.9 at the 2nd place. 0.9.. is different to 0.99 at the 3rd place.
0.9.. =/= 0.99...9 (n 9s) forall n. so the limit as n tends to infinity is they are also unequal.
This is the same erronous logic you used on the countable set of cs.
1 hthtthtth.. 2 thththth.. 3 tttthththt..
is a different type of set to
1 hhththth.. 2 thttththth.. 3 hhhththth.. ...
Your induction only works on ANY sized finite set of flippers, not an infinite set.
Herc

