The Collaborative International Dictionary of English v.0.48:

Enumeration \E*nu`mer*a"tion\, n. [L. enumeratio: cf. F.
   ['e]num['e]ration.]
   1. The act of enumerating, making separate mention, or
      recounting.
      [1913 Webster]

   2. A detailed account, in which each thing is specially
      noticed.
      [1913 Webster]

            Because almost every man we meet possesses these, we
            leave them out of our enumeration.    --Paley.
      [1913 Webster]

   3. (Rhet.) A recapitulation, in the peroration, of the heads
      of an argument.
      [1913 Webster]

WordNet (r) 3.0 (2006):

enumeration
    n 1: a numbered list [syn: enumeration, numbering]
    2: the act of counting; reciting numbers in ascending order;
       "the counting continued for several hours" [syn: count,
       counting, numeration, enumeration, reckoning,
       tally]

The Free On-line Dictionary of Computing (19 January 2023):

enumeration

   1.  A bijection with the natural numbers; a
   counted set.

   Compare well-ordered.

   2.  enumerated type.

   (1996-11-28)