george
Posts:
800
Registered:
8/5/08


Re: The Diagonal Argument
Posted:
Dec 26, 2012 3:47 AM


On Dec 26, 12:28 am, Graham Cooper <grahamcoop...@gmail.com> wrote: > it fails because with Infinite Sets of Reals > You can alter the Number Order > To change the digit back!
THAT DOESN'T CHANGE anything! You can permute the list of reals ANY WAY YOU LIKE. That will give you A DIFFERENT antidiagonal and thus a DIFFERENT new number but NEITHER THE NEW ANTIDIAGONAL NOR THE OLD ONE will be on EITHER list! Obviously permuting the list does NOT change the answer to ANY question of the form "is x on this list?". It might change WHERE it is, if it's on there, but it does NOT change the answer to "yes it is" or "no it isn't".
> Its like putting a coin on a 2UP paddle > and giving it a one way opposing flip. > > Null Operation as you just flip it twice!
That's just ONE DIGIT, DUMBASS. THE ISSUE is about THE WHOLE new antidiagonal. Changing the list does NOT change ANY digits of the OLD ORIGINAL antidiagonal. It gives you a NEW list with a NEW anti diagonal. Which is ALSO NOT ON the list. The issue in any case IS NOT EVEN WHETHER "the argument fails". The issue is whether the antidiagonal IS OR IS NOT ON the list. And it is OBVIOUSLY NOT ON IT since it differs from EVERY real on the list.

