Re: infinity


Tony Orlow wrote:
> zuhair said:
> > Tony:
> >
> > I don't know I have got the sense that our opinions about the infinite
> > are somehow similar, although I haven't got the chance to read all your
> > theory about it, but I just got that sense.
> Yes, I think we agree on several important points, but still see things
> slightly differently, which is okay.

As long as you agree that the Conspiracy has Got To Be Ended, that's
OK, eh?

<snip to juicy bit>

> Because you started with the same set and simply removed every other element,
> leaving the endpoints untouched (well, at least one of them), ...

Oho! What's this? "Leaving the endpoints untouched"... would the one
you left untouched be the one that exists, par hazard? And you didn't
leave untouched the one that doesn't exist, because you can't really
touch it if it doesn't exist? Or is it the other way around...?

whereas in the
> second, you doubled every element, and thus the difference between every pair
> of elements, and thus the overall value range, or greatest difference between
> elements. You should probably have a range of one less than the original,
> losing an odd from one end or the other, ...

Hang on, the other end is the one that doesn't exist, and if you lose
the end off an end that doesn't exist, hmm, well make a clean break and
you might really have an end.

Brian Chandler
http://imaginatorium.org

.

Relevant Pages

  • Re: Well Ordering the Reals
    ... > Tony Orlow wrote: ... >> For comparing sets formulaically, when they cannot be directly measured due to ... > every member of a set B, ... > whether the sets are finite or infinite, because it works for all sets. ...
    (sci.math)
  • Re: Well Ordering the Reals
    ... Tony Orlow wrote: ... David R Tribble said: ... The Beth cardinals, on the other hand, are defined that way. ... Arithmetic for infinite ordinals and infinite cardinals is still ...
    (sci.math)
  • Re: Two results of set geometry
    ... Tony Orlow wrote: ... especially when you have infinite sets that are ... David R Tribble wrote: ...
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  • Re: Well Ordering the Reals
    ... > Tony Orlow wrote: ... >> where there IS a most significant digit. ... > But x and y have an infinite number of digits; ...
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  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... infinite. ... An uncountable number of balls, ... As none of them exist in the original problem, ...
    (sci.math)