
Re: Infinity and all the rest
Posted:
Oct 24, 2013 4:23 PM


On Thursday, 24 October 2013 21:49:21 UTC+2, Virgil wrote:
>> It is curious that so many mathematicians believe that this sequence of sets >> could converge to the empty set. > I do not know of any mathematicians who claim that.
Recognize yourself.
If the set M does never become empty, then never all rationals are enumerated.
> I challenge WM to show that there is even one rational that is not in the following wellordering of the rationals
I can refer to such natural numbers only which belong to a FISON. It is well known that every for every FISON we have FISON/ N = 0. So what would it help to show that I cannot show a rational that is not in your wellordering?
> Consider this wellordering of the rationals:
This is a wellordering of a tiny subset of the rationals. You should know that up to every n, {1, 2, 3, ..., n} is in fact a fraction of zero measure compared to N. So you must fail.
> Then the set of all rationals Can you tell me how many naturals you need to wellorder the first 1 % of all rationals? Regards, WM

