Order Theory
- Order theory, which studies various binary relations known as orders
- Order (journal), an academic journal on order theory
- Partial order, often called just "order" in order theory texts; a transitive antisymmetric relation
- Total order, a partial order that is also total, in that either the relation or its inverse holds between any unequal elements
- Dense order, a total order where between any unequal pair of elements there is always an intervening element in the order
- Lexicographical order, an ordering method on sequences analogous to alphabetical order on words
- Order topology, a topology of total order for totally ordered sets
- Ordinal numbers, which are assigned to sets based on their set-theoretic order
- Glossary of order theory
- List of order theory topics
Read more about this topic: Order (mathematics)
Famous quotes containing the words order and/or theory:
“For it is owing to their wonder that men both now begin and at first began to philosophize.... And a man who is puzzled and wonders thinks himself ignorant ...; therefore since they philosophized in order to escape from ignorance, evidently they were pursuing science in order to know, and not for any utilitarian end.”
—Aristotle (384–322 B.C.)
“Everything to which we concede existence is a posit from the standpoint of a description of the theory-building process, and simultaneously real from the standpoint of the theory that is being built. Nor let us look down on the standpoint of the theory as make-believe; for we can never do better than occupy the standpoint of some theory or other, the best we can muster at the time.”
—Willard Van Orman Quine (b. 1908)