Re: Well Ordering the Reals

In article <MPG.1df91e0d5247c6dd98a7dc@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow <aeo6@xxxxxxxxxxx> wrote:

> William Hughes said:

> > Ok so all points are a finite number of bit positions
> > of the digit point?

> We define the values of bits within a finite distance of the defined limit
> points, such as 0, log2(N), N etc. If we need to define bits infintiely far
> from all of our points, we need to define another limit point with a uniqu
> formula on N.

And how does TO determine what formula to use?
Are TO's T-errible numbers well ordered?
Are the "limit points" of TO's Terrible numbering system well ordered?
Is any part of TO's T-errible numbering sysem well anything?

> > So log2(N) is finite?
> No. That's a limit point, infinitely far from the 0 point, which is the
> normal
> digital point.

Just how infinitely far from 0 is it?

Are there any "limit points" between it and 0?

How many "limit points" does TO need to cover all of his T-errible
numbers? Is it more than the number of finite naturals?

> > > Infinite.
> >
> > So not all the points are within a finite number of bit positions?
> No, of course not, but we can only specifically define bits within a
> finite distance of a defined limit point, which is expressed as a
> formula on N. We can define as many lmit points as we need, each
> infinitely far from every other.

How many "limit points" are needed to cover everything, and how does one
find a necessaary limit point if one is needed between two given limit
points?

TO's whole T-errible system is really terrible.
.

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