Order Theory

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 begin an analysis, there must already be a synthesis present in the mind.
    Johan Huizinga (1872–1945)

    It is not enough for theory to describe and analyse, it must itself be an event in the universe it describes. In order to do this theory must partake of and become the acceleration of this logic. It must tear itself from all referents and take pride only in the future. Theory must operate on time at the cost of a deliberate distortion of present reality.
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