Definition for Mathematical Terms
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Rank (set theory) - In mathematical set theory, the rank of a set is defined inductively as the smallest ordinal number greater than the rank of any member of the set, where the rank of the empty set is zero. As a consequence, when using the normal set-theoretic definition of the ordinal numbers in terms of sets, every ordinal has a rank equal to itself.
Program specification - A program specification is the definition of what a computer program is expected to do. It can be informal, in which case it can be considered as a blueprint or user manual from a developer point of view, or formal, in which case it has a definite meaning defined in mathematical or programmatic terms.
Recursive definition - A recursive definition is a one which defines a word in terms of itself, albeit in a useful way. For that to work, the definition in any given case must be well founded, avoiding an infinite regress.
Theoretical definition - A theoretical definition gives the meaning of a word in terms of the theories of a specific discipline. This type of definition assumes knowledge and acceptance of the theories that it depends on.
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