Date: Mar 1, 2013 2:02 PM
Author: Frederick Williams
Subject: Re: Matheology ? 222 Back to the roots

Nam Nguyen wrote:
>
> On 28/02/2013 8:27 AM, Frederick Williams wrote:

> > Nam Nguyen wrote:
> >>
> >> On 27/02/2013 10:12 PM, Virgil wrote:

> >>> In article <R8AXs.345282$pV4.85998@newsfe21.iad>,
> >
> >>> The set of all functions from |N = {0,1,2,3,...} to {0,1,2,...,9} with
> >>> each f interpreted as Sum _(i in |N) f(i)/10^1, defines such a
> >>> structure..

> >>
> >> That doesn't look like a structure to me. Could you put all what
> >> you've said above into a form using the notations of a structure?

> >
> > There is a set and a collection of functions on it. How does it fail to
> > be a structure?

>
> From what textbook did you learn that a structure is defined as
> "a set and a collection of functions on it"?


None, so far as I know. Look, 2 + 2 = 4 is a fact but I know of no
textbook which defines '+' as that function which adds 2 to itself and
gives the result 4.

--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting