# Order (mathematics)

(Redirected from Order (number theory))

Order in mathematics may refer to:

## Set theory

Total order and partial order, a binary relation generalizing the usual ordering of numbers and of words in a dictionary

## Logic

In logic, model theory and type theory:

## Order theory

• Order (journal), an academic journal on order theory
• Dense order, a total order wherein between any unequal pair of elements there is always an intervening element in the order
• Glossary of order theory
• Lexicographical order, an ordering method on sequences analogous to alphabetical order on words
• List of order topics, list of order theory topics
• Order theory, study of various binary relations known as orders
• Order topology, a topology of total order for totally ordered sets
• Ordinal numbers, numbers assigned to sets based on their set-theoretic order
• 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

In set theory: