On 15 Jun., 21:41, stevendaryl3...@yahoo.com (Daryl McCullough) wrote: > WM says... > > > > >On 15 Jun., 18:57, stevendaryl3...@yahoo.com (Daryl McCullough) wrote: > > >> >We should not use oracles in mathematics. > > >> On the contrary! Many real numbers in physics are not computable > >> to infinite precision (for example, the fine structure constant). > > >Numbers are computable. The fine structure constant is a name. It has > >soem 20 letters. > > I can see that you don't understand the distinction between > use and mention. "Daryl" is a name having five letters. Daryl > is a human being.
If you think that the fine structure constant is a number, then you should try to study a bit of physics in order to understand the difference between facts and names.
Daryl would exist even it had no name. A name that cannot be named cannot exist. A number that cannot be defined does not exist.
Your incompetence does probably not allow you to understand that. But even you should be able to understand the following:
Whatever language may be chosen: The number of finite definitions in all languages over finite alphabets is a countable set.
Therefore Cantor's "proof" proves that a countable set is uncountable. A fine result.