Definitionv1
Lexicographic ordering: a formal structure for ranking
Lexicographic ordering: a formal structure for ranking values where each value is strictly prioritized over all lower-ranked values, such that no amount of benefit from a lower-ranked value can justify sacrificing a higher-ranked value
Why This Is a Definition
This definition precisely establishes the meaning of 'lexicographic ordering' by stating its genus (formal structure for ranking values) and differentia (strict prioritization where higher values cannot be traded off against lower values). It distinguishes this from vague prioritization and provides the mathematical analogy of alphabetical ordering to clarify the concept.