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
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“A breath of will blows eternally through the universe of souls in the direction of Right and Necessity. It is the air which all intellects inhale and exhale, and it is the wind which blows the worlds into order and orbit.”
—Ralph Waldo Emerson (1803–1882)
“The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes “So much the worse for the facts: let them be altered,” instead of “So much the worse for my theory.””
—George Bernard Shaw (1856–1950)