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:
“What a perpetual disappointment is actual society, even of the virtuous and gifted! After interviews have been compassed with long foresight, we must be tormented presently by baffled blows, by sudden, unseasonable apathies, by epilepsies of wit and of animal spirits, in the heyday of friendship and thought. Our faculties do not play us true, and both parties are relieved by solitude.”
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