
In the philosophy of mathematics, ultrafinitism, also known as ultraintuitionism, strict-finitism, actualism, and strong-finitism is a form of finitism. There are various philosophies of mathematics which are called ultrafinitism. A major identifying property common among most of these philosophies is their objections to totality of number theoret...
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http://en.wikipedia.org/wiki/Ultrafinitism

(from the article `mathematics, foundations of`) An even more extreme position, called ultrafinitism, maintains that even very large numbers do not exist, say numbers greater than 10(1010). Of ...
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http://www.britannica.com/eb/a-z/u/4
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