The Recursion Theorem
In set theory, this is a theorem guaranteeing that recursively defined functions exist. Given a set X, an element a of X and a function, the theorem states that there is a unique function (where denotes the set of natural numbers including zero) such that
for any natural number n.
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Famous quotes containing the word theorem:
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (19131960)