Re: Cantor's diagonal proof wrong?

From: fishfry (BLOCKSPAMfishfry_at_your-mailbox.com)
Date: 11/28/04


Date: Sun, 28 Nov 2004 07:24:39 GMT

In article <3c6b9c1e.0411272122.2449a629@posting.google.com>,
 raf@tiki-lounge.com (Ross A. Finlayson) wrote:

> Hi Bob, if that is your real name,

It's not. Bob is a palindrome of his real name.

>
> It's an infinite set, there's always one more.
>
> Consider the natural/unit equivalency function.

A function you've been talking about for a couple of years, without
proving that it exists. And since your EF is a bijection from the
natural numbers to the reals, there's an easy proof that it doesn't
exist.



Relevant Pages

  • Re: Cantors diagonal proof wrong?
    ... Bob is a palindrome of his real name. ... > It's an infinite set, ... > Consider the natural/unit equivalency function. ... natural numbers to the reals, there's an easy proof that it doesn't ...
    (sci.logic)
  • Re: Is continuum completely filled up?
    ... cannot identify adjacent reals generated by the construction, ... After all, the integers are likewise an infinite set, but there is ... strings in this context, since a finite-length bit string can be ... the sum is one thing, and then argue that it is another. ...
    (sci.math)
  • Re: Is continuum completely filled up?
    ... locations of all points at iteration N? ... cannot identify adjacent reals generated by the construction, ... After all, the integers are likewise an infinite set, but there is ... the sum is one thing, and then argue that it is another. ...
    (sci.math)
  • Re: Is continuum completely filled up?
    ... cannot identify adjacent reals generated by the construction, ... After all, the integers are likewise an infinite set, but there is ... And if so, by construction, for every real that has been defined also has an associated interval? ... the sum is one thing, and then argue that it is another. ...
    (sci.math)
  • Re: Uncountable many reals without Cantor
    ... > Does it lead to a contradiction because there are functions bijecting ... > the rationals and integers? ... That's based upon the deduction that the reals contain ... > infinite set with what is deemed to be zero measure. ...
    (sci.logic)

Quantcast