Axiom of Choice
With the Zermelo–Fraenkel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable.
Read more about this topic: List Of Axioms
Famous quotes containing the words axiom of, axiom and/or choice:
“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 writer who neglects punctuation, or mispunctuates, is liable to be misunderstood.... For the want of merely a comma, it often occurs that an axiom appears a paradox, or that a sarcasm is converted into a sermonoid.”
—Edgar Allan Poe (1809–1845)
“When there is a choice about it, a great sacrifice is preferable to a small sacrifice, because we compensate ourselves for a great one with self-admiration, which is not possible with a small one.”
—Friedrich Nietzsche (1844–1900)