Re: Well Ordering the Reals

In article <MPG.1ddd4e7c326a520d98a6bc@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow <aeo6@xxxxxxxxxxx> wrote:

>
> Well, yes, infinitesimals, as Ross suggests, do provide a sort of
> successorship in the continuum, but I don't suppose that solves the
> problem of infinite descending chains.

The blind misleading the blind?
.

Relevant Pages

  • Re: infinity
    ... >>> So you do not believe that between any two points in the continuum ... >> are doing with infinitesimals. ... > continuum is nonsense. ... that depends on whether you allow infinitesimal units. ...
    (sci.math)
  • Re: infinity
    ... > Tony Orlow wrote: ... >> infinitesimal line segments that connect immediately neighboring points. ... and there are corresponding infinitesimals for every ... then you appear to be creating a continuum ...
    (sci.math)
  • Re: infinity
    ... >>> I think it is valid to view the continuum as a sequence of discrete points, ... Can you divide zero distance in half? ... > are doing with infinitesimals. ... > chosen like the unit infinity, with an identity function: ...
    (sci.math)
  • Re: Wormhole theory
    ... >> infinitesimals along some continuum leading down towards zero itself. ... book you mention above and also some of the newer textbooks teaching ...
    (sci.electronics.design)
  • Re: infinity
    ... >>> continuum will become discrete. ... Can you divide zero distance in half? ... are doing with infinitesimals. ... chosen like the unit infinity, with an identity function: ...
    (sci.math)