Inductive Set (axiom Of Infinity)
In axiomatic set theory and the branches of logic, mathematics, philosophy, and computer science that use it, the axiom of infinity is one of the axioms of Zermelo–Fraenkel set theory. It guarantees the existence of at least one infinite set, namely a set containing the natural numbers.
Read more about Inductive Set (axiom Of Infinity): Formal Statement, Interpretation and Consequences, Extracting The Natural Numbers From The Infinite Set, Independence
Famous quotes containing the word set:
“To divide one’s life by years is of course to tumble into a trap set by our own arithmetic. The calendar consents to carry on its dull wall-existence by the arbitrary timetables we have drawn up in consultation with those permanent commuters, Earth and Sun. But we, unlike trees, need grow no annual rings.”
—Clifton Fadiman (b. 1904)