THE MEASUREMENT STRUCTURE OF THE VIRTUES: A Taxonomy and a Generic Protocol for Measuring Virtue Strength

Abstract The companion paper established that the Dynamic Freedom Theorem, S = (F × A)/R, possesses a determinate measurement structure: written logarithmically it is at once an additive conjoint structure, a Cobb–Douglas stochastic production frontier, and a geometric composite index. That result fixed what may be measured and on what scales. It did not say how to measure any particular virtue, and the natural fear is that each virtue would require its own bespoke study, so that a programme claiming to unify the virtues under one law would nonetheless have to measure them one at a time. This paper shows that fear is unfounded, and in doing so states the paper’s thesis: because the law’s form is uniform across virtues, the virtues do not partition into as many measurement problems as there are virtues, but into a small number of measurement regimes, and a single generic protocol — parameterised at four choice-points — instantiates to any of them. What differs between virtues is not the law but four operational choices: how the costly behaviour that constitutes virtue strength S is observed, whether the record of that behaviour is complete or endogenously censored, whether the field F can be manipulated or only observed, and how the sign of Autonomy is anchored. Everything else — the frontier, the recovery of Internal Vice R₃ as the frontier’s one-sided shortfall, the panel structure that identifies R₃ at the individual level, and the honesty gates that keep a computed number from being mistaken for a confirmed theory — is invariant. Two of the four regimes are instantiated in full, with executed power analyses, at the extremes of the censoring axis: an enactment regime (generosity, where every choice is recorded) and a defiance regime (courage, where the record itself is suppressed by the same repression that sets the frontier). The generosity instantiation establishes that individual R₃ recovery is bought with occasions, not participants — a panel of a hundred and fifty observed three times outperforms a cross-section of five hundred observed once — and that the law’s functional form is confirmable from behaviour. The courage instantiation establishes that naive estimation inverts the moral conclusion, making the most repressive regimes appear the most virtuous, and that a sample-selection correction removes the inversion only when an exclusion instrument excluded from the frontier is secured, without which the correction’s variance inflates a hundredfold. The two remaining regimes — restraint (measuring a costly non-act) and endurance (measuring a sustained costly state) — are shown to be small parameterisations of the same generic protocol rather than new studies. The two executed power analyses are summarised within this paper (Appendix C) rather than only referenced, so that a self-contained reader can see a demonstrated parameter recovery — individual R₃ recovered from simulated behaviour under known truth — without recourse to the companion documents. The classification is then applied to the programme’s full catalogue of 111 virtues, each assigned to the regime its constitutive behaviour and its field place it in, with worked measurement examples — showing that the great majority fall into the complete-record regimes the built templates already cover, and that an entire class migrates to the censored regime the moment its field turns hostile. The contribution is the classification, the generic protocol, and the full mapping, evidenced at the two poles. A researcher wishing to measure a virtue the programme has not treated need not wait for a bespoke design; they need only locate their virtue in the regime its behaviour and its field place it in, and fill in four parameters. Keywords: virtue measurement · Dynamic Freedom Theorem · stochastic frontier · sample selection · additive conjoint measurement · Internal Vice · Problem X · Philosophy of Virtues.