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:
“I grew wild
Even accusing Heaven because
It had set down among its laws:
Nothing that we love over-much
Is ponderable to our touch.”
—William Butler Yeats (1865–1939)