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In the philosophy of mathematics, ultrafinitism (also known as ultraintuitionism,[1]strict formalism,[2]strict finitism,[2]actualism,[1]predicativism,[2][3] and strong finitism)[2] is a form of finitism and intuitionism. There are various philosophies of mathematics that are called ultrafinitism. A major identifying property common among most of these philosophies is their objections to totality of number theoretic functions like exponentiation over natural numbers.
^ abInternational Workshop on Logic and Computational Complexity, Logic and Computational Complexity, Springer, 1995, p. 31.
^ abcdSt. Iwan (2000), "On the Untenability of Nelson's Predicativism", Erkenntnis53(1–2), pp. 147–154.
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