Date: Apr 17, 2005 7:04 PM
Author: HERC777
Subject: Re: say I flip a coin 100 times...
>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