Theorem 2 There does exist some algorithm that denumerates the set of the complex numbers.
Proof. I will prove constructively, showing my algorithm: first, I define an alphabet,a formal language for arithmetic expressions and write a parser for expressions of this language, which, in its turn, contains only the alphabet defined for constant expressions, operators and symbols such as "(",","and ")" used in expressions identifers of all arithmetic functions such as "log" and "sin", and reserved words of constant values, such as "e", "p: and "i", but that language does not contain any variable. One typically uses BNF for doing so.
Theorem 2 There does exist some algorithm that denumerates the set of the complex numbers.Proof. I will prove constructively, showing my algorithm: first, I define an alphabet,a formal language for arithmetic expressions and write a parser for expressions of this language, which, in its turn, contains only the alphabet defined for constant expressions, operators and symbols such as "(",","and ")" used in expressions identifers of all arithmetic functions such as "log" and "sin", and reserved words of constant values, such as "e", "p: and "i", but that language does not contain any variable. One typically uses BNF for doing so.
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