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Defining real numbers to exclude incomputable numbers
The real numbers are normally constructed via Dedekind cuts or similar approaches, which result in incomputable numbers: numbers that no finite algorithm can produce to arbitrary precision. This is ...
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Is there literature on non-computable numbers that can't be even be identified?
It seems to me that most real numbers can't be calculated by any finite set of instructions, even if we make use of non-computable functions.
First, assume that we have an oracle that will provide ...
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Undefinable Real Numbers
Disclamer: I'm sure my definition of "definable" may be different than the/a established mathematical one, I am more than interested in learning why/how this is so, but that is not my question
Part 1:...