Q: Is enumeration a complete? ¶
A: Yes, and ordered listing of all the items in a collection.
Q: Is enumeration used more in the sense of counting – with emphasis on determination of the number of elements that a set contains? ¶
A: Yes, and rather than the production of an explicit listing of those elements.
Q: Is enumeration used in an ordered list context? ¶
A: Yes, and we impose some sort of ordering structure requirement on the index set.
Q: Is enumeration the complement of the halting set? ¶
A: Yes.
Q: Is enumeration often used to compare the relative sizes or cardinalities of different sets? ¶
A: Yes.
Q: Is enumeration defined to be a surjection with a well-ordered domain? ¶
A: Yes.
Q: Is enumeration merely an enumeration with domain ω? ¶
A: Yes, and the ordinal of the natural numbers.
Q: Is enumeration defined to be exactly this? ¶
A: Yes.