Re: infinity

David R Tribble said:
> stephen said:
> >> What is an 'arbitrary largest value'? I have no idea what that
> >> can possibly mean. If N is not the largest value, you should just call
> >> it an 'arbitrary value'. Claiming that there is no largest,
> >> and then two sentences latter saying something is an
> >> 'arbitrary largest value' is silly.
> >
>
> Tony Orlow wrote:
> > A variable maximal element for a set recursively defined. Are you really
> > saying you could not make sense of that phrase? You assume your range goes
> > up to some N, and compare sets within that range.
> >
> > By arbitrary largest value, I mean a variable which denotes the maximal
> > element of the set and therefore the value range.
>
> So you're saying that 'N' is an arbitrary unit infinity. And that
> it denotes the maximal element of an unbounded set, which is
> unidentifiable, so 'N' must be unidentifiable. Or maybe, since the
> set is unbounded and has no maximal element, 'N' does not exist.
>
>
N is a variable, a given maximal value. Given N, we may calculate the size, in
terms of N, of a set related to the naturals using a given mapping function for
n in N. N may be finite or infinite. The unit N really denotes the identity
function for density: 1 element/unit.
--
Smiles,

Tony
.

Relevant Pages

  • Re: infinity
    ... >>> A variable maximal element for a set recursively defined. ... I mean a variable which denotes the maximal ... > to the naturals using a given mapping function for n in N. ... > N may be finite or infinite. ...
    (sci.math)
  • Re: This Months Thought on Fermats Last Theorem: 1
    ... is that there is a language barrier both with your English ... sometimes whether it is the language or the mathematics ... You keep saying it, but it's not true. ... If I have a list of length n, the maximal element ...
    (sci.math)