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: Infinity: The Story So Far
Replies: 16   Last Post: Mar 7, 2014 8:31 AM

Advanced Search

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

Posts: 2,623
Registered: 10/25/10
Re: Infinity: The Story So Far
Posted: Mar 5, 2014 4:07 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Virgil wrote:
> In article <>,
> wrote:

>> But he claimes that the Peano-axioms supply the natural numbers of formal
>> mathematics. So the natural numbers of formal mathematics are:
>> 1, -10, 100, -1000, ...

> Only in wierd places like WM's wild weird world of WMytheology.
> Elsewhere, the successor operation is denoted by adding one.

I don't think that is correct. The successor of x may be denoted S(x)
or x' or in other ways. If S(x) is read as "multiply x by -10" and that
reading is consistent with S's axioms, then that possible meaning for S
is not excluded and "natural number" meaning one of "1, -10, 100, ..."
is not excluded either. Russell makes a similar point in his
/Introduction to mathematical philosophy/.

Madam Life's a piece in bloom,
Death goes dogging everywhere:
She's the tenant of the room,
He's the ruffian on the stair.

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.