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 — 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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  • 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

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  • 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

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