Re: infinity

In article <MPG.1da4b2a483ce0d7698a3b3@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow <aeo6@xxxxxxxxxxx> wrote:

> David R Tribble said:
> > Tony Orlow wrote:
> > > The range as maximum possible difference cannot be specified
> > > without specification of the bounds of the set, but in any case, the
> > > maximum
> > > possible difference is not infinite if no differences can possibly be
> > > infinite.
> >
> > Can the maximum possible difference be unbounded if the differences
> > between any members are unbounded?
> >
> >
> I would say so, yes. The range of the finite naturals is an unboundedly large
> finite value.

Unboundedly large finite value?

Such a thing is an ultimate oxymoron. Every finite value is its own
bound, so that no value can be simultaneously finite and unbounded.

Any system, like TOmatics, that depends on the existence of such
impossibilities is thereby self-contradictory, and thus mathematically
useless.
.

Relevant Pages

  • Re: Well Ordering the Reals
    ... David R Tribble said: ... > hyperintegers, not the reals in the unit interval. ... >> implicit infinite string of leading 0's which add no value to the sum, ...
    (sci.math)
  • Re: Well Ordering the Reals
    ... >> David R Tribble wrote: ... >> Tony Orlow wrote: ... > bit positions to achieve the infinite values in *N. ...
    (sci.math)
  • Re: Two results of set geometry
    ... David R Tribble wrote: ... All of these infinities in your spectrum must be of the "actual" ... Tony Orlow wrote: ...
    (sci.math)
  • Re: Well Ordering the Reals
    ... > David R Tribble said: ... >>> infinite number of bits. ... The entire bit string need not be. ...
    (sci.math)
  • Re: Calculus XOR Probability
    ... David R Tribble said: ... Tony Orlow wrote: ... So which n is that "infinite case"? ...
    (sci.math)