The Math Forum

Search All of the Math Forum:

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

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Matheology § 413
Replies: 13   Last Post: Jan 15, 2014 7:58 PM

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: WMytheology � 413
Posted: Dec 31, 2013 4:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <>, wrote:

> Irrational numbers have no decimal (or binary or whatever
> integer-positive-base) expansion.

x = Sum 1/10^(n!) IS the expansion of a different irrational number in
every different base.

So in one line there are infinitely many counter-examples to WM's claim.

> It is impossible for an infinite list of
> decimals to appear in mathematical discourse, dialogue, or monologue other
> than as the finite rule how to calculate *every* decimal at a finite place
> but never *all* decimal, since beyond every finite index there are infinitely
> many further indices.

So in one line there are infinitely many counter-examples to WM's claim.
nswered: Both your assertions above are incorrect.
> Wouldn't that claim oblige him, in crank-free mathematics, to support his
> opinion by listing all decimals of a nonterminating decimal representation of
> a real number of his choice?

A finite rule for finding all infinitely many is quite sufficient
everywhere in the crank-free mathematics that exists only outside the
wild weird world of WMytheology.

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

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.