Wittgenstein Machine and Quantum Wittgenstein Machine

Herein two machine models are introduced that operationalize rule following as a learnability problem with public criteria of correctness. The Wittgenstein Machine learns a normative language game in which “meaning as use” is formalized as an observational equivalence class of policies under an explicit judge that supplies corrections and sanctions. Identification is defined modulo this judge induced equivalence, so that the learning target is a rule as publicly enforceable practice rather than a private mapping from expressions to meanings. The Quantum Wittgenstein Machine lifts the same primitive to quantum theory by defining rules as operational equivalence classes of completely positive trace preserving strategies under restricted measurement contexts. The quantum model yields a structural barrier, contextuality blocks any context independent interpretation class, and a resource advantage, quantum amplitude estimation reduces the number of judge queries needed to certify compliance at fixed accuracy.