Re: WELL WHICH IS IT... ?

From: |-|erc (h_at_r.c)
Date: 01/21/05 

Date: Fri, 21 Jan 2005 13:34:46 +1000

"Will Twentyman" <wtwentyman@read.my.sig> wrote in >
> > > "If you have the list of computables, a random real number can be on it to an infinite number
> > > of digits, and yet not be on the list" True / False / Other
> >
> > As stated: false. The real either is or is not on the list, but not both.
> >
> > -------------------------------------------------------------------------------
> >
> > > "If you have the list of computables, a random real number can
> > > be on it to an infinite number of digits, and yet not be on
> > > the list" True / False / Other
> >
> > True as phrased. (Example: S_3 and 1/3, TX_10 and any q whose
> > denominator has a prime factor other than 2 or 5)
>
> So, apparently Ghost and I interpretted the above differently. I
> interpretted it as "Given the list of computables, and a real number X,
> X can have all its digits as a single entry on the list, but not be on
> the list."
>
> With that reading, it is equivalent to "Given the list of computables,
> and a real number X, X can be on the list, but not be on the list,"
> which is obviously false.
>
> I'm not sure how Ghost read it.
>

That's because you don't have a predicate in mind for
X is on the list to Y many digits.

Is a simple predicate but you refuse to parse English on the set of terms, instead
you break down each term individually, on, that many digits, in the hope of eliminating
hard questions for Cantorians to answer.

Herc

Relevant Pages

  • Re: WELL WHICH IS IT... ?
    ... apparently Ghost and I interpretted the above differently. ... > interpretted it as "Given the list of computables, and a real number X, ... X is on the list to Y many digits. ... Is a simple predicate but you refuse to parse English on the set of terms, ...
    (comp.theory)
  • Re: WELL WHICH IS IT... ?
    ... apparently Ghost and I interpretted the above differently. ... > interpretted it as "Given the list of computables, and a real number X, ... X is on the list to Y many digits. ... Is a simple predicate but you refuse to parse English on the set of terms, ...
    (sci.logic)
  • Re: WELL WHICH IS IT... ?
    ... >> be on it to an infinite number of digits, ... apparently Ghost and I interpretted the above differently. ... interpretted it as "Given the list of computables, and a real number X, ... X can have all its digits as a single entry on the list, ...
    (sci.math)
  • Re: WELL WHICH IS IT... ?
    ... >> be on it to an infinite number of digits, ... apparently Ghost and I interpretted the above differently. ... interpretted it as "Given the list of computables, and a real number X, ... X can have all its digits as a single entry on the list, ...
    (sci.logic)
  • Re: WELL WHICH IS IT... ?
    ... >> be on it to an infinite number of digits, ... apparently Ghost and I interpretted the above differently. ... interpretted it as "Given the list of computables, and a real number X, ... X can have all its digits as a single entry on the list, ...
    (comp.theory)
Loading