enumeratively

enumeratively refers to the act of listing or counting things one by one. It implies a systematic and exhaustive approach to examining or detailing elements within a set or group. This method is often employed when the number of items is manageable and a complete understanding of each individual component is necessary.

In mathematics and computer science, enumerative combinatorics is a branch that deals with counting the number of certain discrete objects. This involves developing formulas and techniques to determine the cardinality of sets defined by specific properties. For instance, one might enumerate all possible permutations of a set of numbers or all combinations of items.

The term can also be used in a more general sense, outside of formal mathematical contexts. If a speaker describes a situation "enumeratively," they are likely providing a detailed, itemized account of each aspect. This contrasts with a more general or abstract description. The emphasis is on the specific and individual nature of the elements being considered. The process of enumeration can be time-consuming but often leads to clarity and a thorough understanding of the subject matter.