Re: WELL WHICH IS IT... ?

From: Will Twentyman (wtwentyman_at_read.my.sig)
Date: 01/21/05 

Date: Thu, 20 Jan 2005 22:20:37 -0500

|-|erc wrote:

> > "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. 

-- 
Will Twentyman
email: wtwentyman at copper dot net

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