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:
“Pleasure cannot be shared; like Pain, it can only be experienced or inflicted, and when we give pleasure to our Lovers or bestow Charity upon the Needy, we do so, not to gratify the object of our Benevolence, but only ourselves. For the Truth is that we are kind for the same reason as we are cruel, in order that we may enhance the sense of our own Power.”
—Aldous Huxley (1894–1963)
“Thus the theory of description matters most.
It is the theory of the word for those
For whom the word is the making of the world,
The buzzing world and lisping firmament.”
—Wallace Stevens (1879–1955)