enumeration

n. counting, numbering; listing, itemization

In mathematics and theoretical computer science, an enumeration of a set is either a procedure for listing all members of the set in some definite sequence, or a count of objects of a specified kind. The two kinds of enumeration often, but not always, overlap.
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n. enumeration

(n.)
The act of enumerating, making separate mention, or recounting.
  

(n.)
A recapitulation, in the peroration, of the heads of an argument.
  

(n.)
A detailed account, in which each thing is specially noticed.
  

1. <mathematics> A bijection with the natural numbers; a counted set.
Compare well-ordered.
2.  enumerated type.
(1996-11-28)