In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of pairing is one of the axioms of Zermelo–Fraenkel set theory.
Read more about Axiom Of Pairing: Formal Statement, Interpretation, Non-independence, Generalisation, Another Alternative
Famous quotes containing the words axiom of, axiom and/or pairing:
“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 is an axiom in political science that unless a people are educated and enlightened it is idle to expect the continuance of civil liberty or the capacity for self-government.”
—Texas Declaration of Independence (March 2, 1836)
“Through man, and woman, and sea, and star,
Saw the dance of nature forward far;
Through worlds, and races, and terms, and times,
Saw musical order, and pairing rhymes.”
—Ralph Waldo Emerson (1803–1882)