A Note on the Companion Paper

The mathematical and philosophical results underlying this book, the undeniability proof, the mutual entailment of the components, the uniqueness derivations for probability, priors, and updating, the channel model, the classification of the indifference paradoxes, the imprecise-credence and resolute-completion results, and the conditional convergence theorems, are stated, proved, and verified in the companion paper, Intelligent Epistemology: MU and Epistemic Zero. The paper carries its own guide for readers, its explicit scope conditions, a running account of the assumptions in force, and verification procedures any reader can reproduce. The paper formalises and defends the claims this book marks as proved; where the book makes that designation, it points there. The book’s load-bearing claims are graded where they are made, as proved, argued, or avowed, with empirical reports additionally cited and dated, and one avowal exposed as a public wager; and the four-gate framework, the epistemic definition of general intelligence, and the refusal test are contributions of this book rather than results attributed to the paper.

Different claims break differently, and the reader who wants to break this book should know where to swing. A proof breaks at a step: find the invalid inference or the hidden premise in the paper’s numbered chain, which was built to make that attack easy. A uniqueness claim breaks at an escape: exhibit a rival rule that satisfies every stated consistency requirement while disagreeing with the results; candidate families include the non-standard entropies of the Tsallis family, belief-combination rules of the Dempster–Shafer type, and the update variants of the imprecise-probability debates. One genuine escape defeats the forcing. A best explanation breaks against a better explanation. An avowal breaks only if you can stand somewhere else, and the reader who can is invited to describe the location. And the dated claims of the final chapters break against the world, on the schedule printed beside them. Gold survives the assay. So does the discovery that something was never gold, and either way, the fire was the point.