- ultrafinitism
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A form of finitism that is even more extreme in that it denies those constructs whose construction cannot be physically performed (such as a number that no human could have time to calculate).
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ultrafinitism
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Ultrafinitism — In the philosophy of mathematics, ultrafinitism, or ultraintuitionism, is a form of finitism.Ultrafinitists deny the existence of the infinite set N of natural numbers, on the grounds that it can never be completed.In addition, ultrafinitists are … Wikipedia
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Philosophy of mathematics — The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of … Wikipedia
Finitism — In the philosophy of mathematics, finitism is an extreme form of constructivism, according to which a mathematical object does not exist unless it can be constructed from natural numbers in a finite number of steps. In her book Philosophy of Set… … Wikipedia
Classical mathematics — In the foundations of mathematics, classical mathematics refers generally to the mainstream approach to mathematics, which is based on classical logic and ZFC set theory.[1] It stands in contrast to other types of mathematics such as constructive … Wikipedia
List of mathematics articles (U) — NOTOC U U duality U quadratic distribution U statistic UCT Mathematics Competition Ugly duckling theorem Ulam numbers Ulam spiral Ultraconnected space Ultrafilter Ultrafinitism Ultrahyperbolic wave equation Ultralimit Ultrametric space… … Wikipedia
Alexander Esenin-Volpin — Alexander Sergeyevich Esenin Volpin ( ru. Александр Сергеевич Есенин Вольпин)is a prominent Russian American poet and mathematician. Born on May 12 1924 in the former Soviet Union, he was a notable dissident, political prisoner, poet, and… … Wikipedia
mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… … Universalium
ultrafinitist — noun A proponent of ultrafinitism … Wiktionary
