Re: CH Question

From: Robert Low (mtx014_at_linux.services.coventry.ac.uk)
Date: 10/23/04 

Date: 23 Oct 2004 18:06:35 GMT

Chris Menzel <cmenzel@remove-this.tamu.edu> wrote:
>On 23 Oct 2004 13:28:52 GMT, Robert Low <mtx014@linux.services.coventry.ac.uk>
>> Ah, I (think I) see now: you're looking for a set whose
>> cardinality is strictly greater than aleph_0 but not obviously
>> at least as big as 2^aleph_0.
>> I can't think of one of them offhand. (And given a candidate,
>> people may well disagree about what is obvious.)
>Do you think it is obvious that aleph_1 is at least as big as 2^aleph_0?

No. But there's more than one possible explanation for that,
of course.

All I meant was that I couldn't think (offhand) of a set built
up out of familiar objects which *I* found obviously bigger
than N and not obviously at least as big as R. (My suggestion,
the set of continuous real valued functions of a real variable, is
clearly at least as big as R: the surprise is that it isn't
bigger.) 

-- 
Rob.  http://www.mis.coventry.ac.uk/~mtx014/

Relevant Pages

  • Re: CH Question
    ... Tim Peters wrote: ... >> All I meant was that I couldn't think (offhand) of a set built ... Rob. ...
    (sci.logic)
  • Re: religion and mental illness
    ... think of offhand, after me, naturally, would be Julian and Ch'an Fu - two of ... my authorized spokesmen on earth - unless I disagree with them:) ...
    (talk.religion.buddhism)
  • Re: religion and mental illness
    ... think of offhand, after me, naturally, would be Julian and Ch'an Fu - two of ... my authorized spokesmen on earth - unless I disagree with them:) ...
    (talk.religion.buddhism)
  • Re: Large Prints in New York City (Manhattan)?
    ... OFOTO/Kodak Gallery goes up to 20x30--and they will mail the print to her. ... I don't know offhand of any online printers that go bigger, ...
    (rec.photo.digital)
Quantcast