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The easiest way to prove the existence of [[transcendental]] numbers is by a nonconstructive proof, arguing that the set of [[real number]]s is [[uncountable]] while the set of [[algebraic number]]s is [[countable]], and thus (many) transcendental numbers must exist. Of course, finding a specific example is a much more difficult endeavor.
The easiest way to prove the existence of [[transcendental]] numbers is by a nonconstructive proof, arguing that the set of [[real number]]s is [[uncountable]] while the set of [[algebraic number]]s is [[countable]], and thus (many) transcendental numbers must exist. Of course, finding a specific example is a much more difficult endeavor.
[[Category:mathematics]]
[[Category:Mathematics]]