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: Can L(<) be the language of the naturals?
Replies: 35   Last Post: Sep 10, 2013 2:12 AM

Advanced Search

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

Posts: 463
Registered: 12/13/04
Re: Can L(<) be the language of the naturals?
Posted: Sep 1, 2013 1:21 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In message <52236CD3.1030800@osu.edu>, Jim Burns <burns.87@osu.edu>
writes
>If I say that I have a set with a semi-infinite,
>discrete, linear order, (N, <), is that enough to
>define the naturals?


I'm afraid not. Thee are many other orderings satisfying your axioms.
E.g. N + Z - i.e. a copy of N followed by a copy of Z.

--
David Hartley


Date Subject Author
9/1/13
Read Can L(<) be the language of the naturals?
Jim Burns
9/1/13
Read Re: Can L(<) be the language of the naturals?
Jim Burns
9/1/13
Read Re: Can L(<) be the language of the naturals?
David Hartley
9/1/13
Read Re: Can L(<) be the language of the naturals?
Peter Percival
9/1/13
Read Re: Can L(<) be the language of the naturals?
Virgil
9/1/13
Read Re: Can L(<) be the language of the naturals?
Peter Percival
9/1/13
Read Re: Can L(<) be the language of the naturals?
Virgil
9/2/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/6/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/6/13
Read Re: Can L(<) be the language of the naturals?
Robin Chapman
9/6/13
Read Re: Can L(<) be the language of the naturals?
Tucsondrew@me.com
9/6/13
Read Re: Can L(<) be the language of the naturals?
LudovicoVan
9/6/13
Read Re: Can L(<) be the language of the naturals?
Tucsondrew@me.com
9/7/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/6/13
Read Re: Can L(<) be the language of the naturals?
Michael F. Stemper
9/7/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/6/13
Read Re: Can L(<) be the language of the naturals?
FredJeffries@gmail.com
9/7/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/7/13
Read Re: Can L(<) be the language of the naturals?
FredJeffries@gmail.com
9/8/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/6/13
Read Re: Can L(<) be the language of the naturals?
Robin Chapman
9/6/13
Read The decimals by Stevin
Brian Q. Hutchings
9/7/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/6/13
Read Re: Can L(<) be the language of the naturals?
LudovicoVan
9/7/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/7/13
Read Re: Can L(<) be the language of the naturals?
LudovicoVan
9/8/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/8/13
Read Re: Can L(<) be the language of the naturals?
LudovicoVan
9/8/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/9/13
Read Re: Can L(<) be the language of the naturals?
LudovicoVan
9/10/13
Read Re: Can L(<) be the language of the naturals?
albrecht
9/1/13
Read Re: Can L(<) be the language of the naturals?
Jim Burns
9/2/13
Read Re: Can L(<) be the language of the naturals?
Shmuel (Seymour J.) Metz
9/2/13
Read Re: Can L(<) be the language of the naturals?
Shmuel (Seymour J.) Metz
9/2/13
Read Re: Can L(<) be the language of the naturals?
Shmuel (Seymour J.) Metz
9/2/13
Read Re: Can L(<) be the language of the naturals?
Peter Percival

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

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.