Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as "this is less than that" or "this precedes that". This article introduces the field and provides basic definitions. A list of order-theoretic terms can be found in the order theory glossary.
Read more about Order Theory: Background and Motivation, Basic Definitions, Functions Between Orders, Special Types of Orders, Subsets of Ordered Sets, Related Mathematical Areas, History
Famous quotes containing the words order and/or theory:
“In order to become spoiled ... a child has to be able to want things as well as need them. He has to be able to see himself as a being who is separate from everyone else.... A baby is none of these things. He feels a need and he expresses it. He is not intellectually capable of working out involved plans and ideas like Can I make her give me...? If I make enough fuss he will...? They let me do ... yesterday and I want to do it again today so Ill....”
—Penelope Leach (20th century)
“The things that will destroy America are prosperity-at-any- price, peace-at-any-price, safety-first instead of duty-first, the love of soft living, and the get-rich-quick theory of life.”
—Theodore Roosevelt (18581919)