>  This is a general theorem about *strings* in this formal system, but
>  no such string with uncomputable real number can ever be written, so
>  saying that it's a theorem about uncomputable real numbers is an empty
>  set theory (it's a true statement, but it's true in a trivial
>  "falsehood, therefore Mars is inhabited by little green men" kind of
>  formal sense).

Well, but NO uncomputable number can be written, so which theorems
about uncomputable numbers are NOT empty in the sense you  mean?

ben

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agi
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