Actual infinity is the idea that numbers, or some other type of mathematical object, can form an actual, completed totality; namely, a set. Hence, in the philosophy of mathematics, the abstraction of actual infinity involves the acceptance of infinite entities, such as the set of all natural numbers or an infinite sequence of rational numbers, as given objects.
Read more about Actual Infinity: Aristotle's Potential–actual Distinction, Opposition From The Intuitionist School, History, Scholastic Philosophers, Classical Set Theory
Famous quotes containing the words actual and/or infinity:
“You may well ask how I expect to assert my privacy by resorting to the outrageous publicity of being one’s actual self on paper. There’s a possibility of it working if one chooses the terms, to wit: outshouting image-gimmick America through a quietly desperate search for self.”
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