Re: Relative Cardinality





mueckenh@xxxxxxxxxxxxxxxxx wrote:
> Virgil wrote:
>
> > Since sqrt(2) can be expressed as a decimal to any desired degree of
> > accuracy, what keeps sit off of a list of reals for purposes of
> > consructing an anti-diagonal?
>
> Wrong. the first 10^100 digits cannot be expressed together. Even digit
> number 10^100 can never be known. Cantor's antidiagonal cannot consist
> of more than 10^100 digits.

Which n in 1... 10^100 can not be expressed?

- Randy

.



Relevant Pages

  • Re: infinity
    ... > Virgil said: ... to determine the answers to these questions for infinite numbers. ... >> digits in 111...111 is even? ... Prev by Date: ...
    (sci.math)
  • Re: Cantor was Right!
    ... >> If there are only finitely many finite naturals, ... >> How many digits in, say base 10 does it take to represent x? ... > That is true, Virgil. ... > he thinks he found a hole, but it's not a hole, unless he is looking in the ...
    (sci.math)
  • Re: Relative Cardinality
    ... >> magnitudes but can't be stored in te whole universe. ... > The number of digits needed to compare two magnitudes depends only on ... Suddenly you are talking like a realist, Virgil! ...
    (sci.math)
  • Re: Relative Cardinality
    ... >> compare more than two reals for size at any one time, ... > be sure that they agree at the first n-1 digits, ... Virgil never said that you only need the nth digit of X and Y to ...
    (sci.math)
  • Re: abundance of irrationals!)
    ... > Virgil wrote in message ... that Cantor never did a "diagonal" proof of uncountability. ... >> instead of single digits. ...
    (sci.math)