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فلسفه::
عدد جبری
When people say 'The set of all transcendental numbers is greater than that of algebraic numbers', that's nonsense.
It is nonsense, he says, to go from the warranted conclusion that these numbers are not, in principle, enumerable to the conclusion that the set of transcendental numbers is greater in cardinality than the set of algebraic numbers, which is recursively enumerable.
In the case of algebraic numbers, we have a decision procedure for determining of any given number whether or not it is algebraic, and we have a method of enumerating the algebraic numbers such that we can see that 'each' algebraic number "will be" enumerated.
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