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 Axiom Of Infinity: Formal Statement, Interpretation and Consequences, Extracting The Natural Numbers From The Infinite Set, Independence
Famous quotes containing the words axiom of, axiom and/or infinity:
“It’s an old axiom of mine: marry your enemies and behead your friends.”
—Robert N. Lee. Rowland V. Lee. King Edward IV (Ian Hunter)
“It’s an old axiom of mine: marry your enemies and behead your friends.”
—Robert N. Lee. Rowland V. Lee. King Edward IV (Ian Hunter)
“The poetic notion of infinity is far greater than that which is sponsored by any creed.”
—Joseph Brodsky (b. 1940)