Thomas Lumley 7/16/2021

Not all strictly monotone functions are additive

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The article uses a mathematical lemma about non-additive, strictly monotone functions to critique the over-reliance on additive scoring in educational grading and grant reviews. It argues that systems like mastery grading or multi-criteria grant assessments often require non-additive aggregation to properly reflect priorities, and warns against forcing additive models just for software convenience.

Not all strictly monotone functions are additive

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