If any set that you can describe in a finite language is countable, then how is R not countable?
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Quoted By: >>12009542 >>12010503 >>12010512 >>12010514 >>12011342
There aremany very short (and pathetically simple) sequences of numbers and letters that describe the set of all real numbers. For example, the 11-symbol string "Dedekindcut" describes all real numbers, proving that R is extremely countable.
Is this because Dedekind cuts fail to reach all real numbers, or is it because R itself is actually countable?
Is this because Dedekind cuts fail to reach all real numbers, or is it because R itself is actually countable?
