No, finite fields cannot be ordered. In any ordered field 1 < 2 < 3 < 4 < ..., which implies the field must be infinite. (If it were to "loop around", it would violate the axio ms defining an ordering.)
On Tue, 6 Mar 2007 16:23:45 -0600, McKown, John <[EMAIL PROTECTED] s.com> wrote: >It may be possible to construct a finite Galois field in which that is >true. > >http://en.wikipedia.org/wiki/Finite_field > > > >-- >John McKown >Senior Systems Programmer >HealthMarkets >Keeping the Promise of Affordable Coverage >Administrative Services Group >Information Technology > >This message (including any attachments) contains confidential >information intended for a specific individual and purpose, and its >content is protected by law. If you are not the intended recipient, you >should delete this message and are hereby notified that any disclosure, >copying, or distribution of this transmission, or taking any action >based on it, is strictly prohibited. > > > -----Original Message----- > From: The IBM z/VM Operating System >[mailto:[EMAIL PROTECTED] On Behalf Of Schuh, Richard > Sent: Tuesday, March 06, 2007 4:18 PM > To: IBMVM@LISTSERV.UARK.EDU > Subject: Re: DASD cylinders > > > Interesting problem - a system in which 4 > 7. Surely there is a >parallel universe somewhere ... > > > Regards, > Richard Schuh > > > > > >________________________________ > > From: The IBM z/VM Operating System >[mailto:[EMAIL PROTECTED] On Behalf Of Adam Thornton > Sent: Tuesday, March 06, 2007 1:58 PM > To: IBMVM@LISTSERV.UARK.EDU > Subject: Re: DASD cylinders > > > > On Mar 6, 2007, at 3:35 PM, RPN01 wrote: > > > New math. > > > > I'll give you a dollar if you can show me a base in which 54 is >more than two and a half times as big as 27. > > > Adam > >
