Re: Well Ordering the Reals

imaginatorium@xxxxxxxxxxxxx said:
> William Hughes wrote:
> > Tony Orlow wrote:
> > > William Hughes said:
> > > > Tony Orlow wrote:
> > > > > William Hughes said:
> > > > > > Tony Orlow wrote:
> > > > > > > Matt Gutting said:
> > > > > > > > Tony Orlow wrote:
> > > > > > > > > Virgil said:
> > > > > > > > >> Tony Orlow <aeo6@xxxxxxxxxxx> wrote:
> > > > > > > > >>> David R Tribble said:
>
> > > Oh come on. It means the bits are the in the same position, the exact same
> > > number of places from the digital point
> >
> > Ok, where is the digital point and what exactly do you mean
> > by "the exact same number of places". Please illustrate using
> > an example where exactly one digit is not 0.
>
> Me! Me! I can do this one!!

Go for it Brian!

>
> Um, compare:
>
> 000 ... [mermaids] ... 001000 ... [tunnel of love] ... 000
> 000 ... [mermaids] ... 000100 ... [tunnel of love] ... 000
>
> There you have it!
>
> Look, Tonymatics is simply bit twiddling, with inordinately long,
> perfectly finite registers. Could probably prove this, if it were
> defined a bit more carefully, but it isn't going to be, is it?

Oh it probably will when I get to that. It doesn't seem like the most
interesting aspect of all this, but the T-riffics seem necessary for the
package of actual infinity tools. So, it deserves better definition, even
though the H-riffics seem more interesting. And yes, it is a bit twiddling
exercise with indefinitely long registers, as you say. That's valid. By the
way, I like your mermaids and tunnel of love. Maybe Tunnel of Love should be
the new name of the Twilight Zone. Perhaps, to avoid all confusion, I should
call Bigulosity Lagoon Theory, and instead of sets of elements, have lagoons
full of mermaids. Good idea.
>
> Brian Chandler
> http://imaginatorium.org
>
>

--
Smiles,

Tony
http://www.people.cornell.edu/pages/aeo6/WellOrder/
.

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