Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Topic: The Diagonal Argument
Replies: 28   Last Post: Dec 29, 2012 12:11 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 8,833
Registered: 1/6/11
Re: The Diagonal Argument
Posted: Dec 28, 2012 12:35 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
Graham Cooper <grahamcooper7@gmail.com> wrote:

> one must consider the audience Virgil!
> seems to be the only mathematics he can grasp!

Actually, Cantor's original argument does not even use digits.

Cantor considers the set, S, of functions from the set of naturals |N as
domain, to the two-letter set of letters {m,w}, and shows that there
cannot be any surjective mapping f: |N -> S by constructing a member g
of S not in Image(f)

Since f: |N -> S, each f(n) is a function from |N to {m,w}
So that when g(n) is a member of {m,w}\f(n)(n) for each n, then g is
not a member of S.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.