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)
““You are bothered, I suppose, by the idea that you can’t possibly believe in miracles and mysteries, and therefore can’t make a good wife for Hazard. You might just as well make yourself unhappy by doubting whether you would make a good wife to me because you can’t believe the first axiom in Euclid. There is no science which does not begin by requiring you to believe the incredible.””
—Henry Brooks Adams (1838–1918)
“Despite compelling evidence that she will be working at 35, by choice or necessity, today’s 21-year-old woman has difficulty looking beyond the ceremonies of her marriage and her babies’ christenings.”
—Marilyn Bender (b. 1925)