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:
““The best way to hate is the worst.
‘Tis to find what the hated need,
Never mind of what actual worth,
And wipe that out of the earth.
Let them die of unsatisfied greed....””
—Robert Frost (1874–1963)
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