transcendental functions

Are Algebraic Numbers Countable?

by

Are Algebraic Numbers Countable? All integers and rational numbers are algebraic, as are all roots of integers. … The set of complex numbers is uncountable, but the set of algebraic numbers is countable and has measure zero in the Lebesgue measure as a subset of the complex numbers. In that sense, almost all complex numbers

Are There More Transcendental Numbers Than Algebraic?

by

Are There More Transcendental Numbers Than Algebraic? Although only a few transcendental numbers are well known, the set of these numbers is extremely large. In fact, there exist more transcendental than algebraic numbers. … Since both of these sets are infinite, it means that one infinity can be larger than another infinity. Why is a