Thanks for the spellings and the background info. This helps me out a
lot.

Corey...

Walter Vannini wrote:
>
> Hi Corey,
>
> It's "Dedekind". He was a German mathematician:
> Julius Wilhelm Richard Dedekind.
>
> If you search on "Dedekind cut" you'll find lots of references.
> In short, Dedekind cuts are a way of defining the real numbers
> in terms of the rational numbers.
> Dedekind cuts do it via subsets of the rationals that are
> defined using the standard ordering.
> "Dedekind cut arithmetic" is probably a way of defining the
> arithmetic operations on the reals in terms of operations on
> subsets of the rationals.
>
> Another popular way to define the real numbers in terms of the
> rational numbers is via equivalence classes of Cauchy sequences.
> If you search on "Cauchy completion" you'll find out more.
> Incidentally, Cauchy was a French mathematician:
> Augustin Louis Cauchy.
>
> Walter
>
> --- Corey Bray wrote:
> > Hello group,
> >
> > I'm trying to learn about something called, and please correct my
> > spelling, "Dedican Cut arithmetic". Does anyone know what it is? I'm
> > reading a book on Advanced Calculus, well I am actually listening to it
> > on tape, but that has caused me some difficulty here. If anyone can
> > explain what this type of arithmetic is and how it works, I would really
> > appreciate it.
> >
> > Corey...
>
>
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