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✶ Credence Grammar: The Public Language of Partial Belief
The Credencing framework now contains formal variables for Objective Evidence, E0, Perceived Evidence, EP, Assigned Credence, CA, warranted confidence intervals, likelihood comparisons, base-rate discipline, category confidence, evidential history, diagnostic confidence, responsibility slack, assertion inflation, phenomenological certainty, and disagreement restraint. But the framework still lacks a full account of the ordinary-language forms by which finite agents can express credence responsibly in public. This is a serious lacuna. People do not merely assign credences in private. They teach, warn, deliberate, testify, advise, publish, argue, diagnose, and coordinate action through sentences. If those sentences remain trapped in flat belief grammar, then the practice of credencing fails at the point of use. This paper develops a credence grammar: a disciplined public language for expressing partial belief without false precision, evasive hedging, or binary overstatement. It formalizes an underlying credence state, an utterance function, compression loss, grammatical fidelity, qualifier coverage, update-condition explicitness, defeater registration, live-alternative coverage, source-status marking, and action-threshold separation. The central claim is that people cannot reliably practice credencing without linguistic tools for confidence bands, update conditions, defeaters, evidence quality, live alternatives, and action thresholds. Responsible credence speech should say, in usable public form: how confident, on what evidence, within what uncertainty range, against which alternatives, defeasible by what future information, and licensed for what kind of assertion or action. The paper distinguishes credence grammar from mere caution, politeness, academic hedging, probabilistic jargon, and social deference. It argues that good credence grammar preserves epistemic structure while remaining speakable by ordinary agents. The practical result is a Credence Grammar Audit: state the proposition, select the speech context, estimate the warranted confidence band, choose a calibrated verbal form, mark source and evidence-trace status, name live alternatives, register defeaters, state update conditions, separate assertion from action, and repair compression when public language says more or less than the evidence licenses. Credencing thereby gains a missing public layer: not only how to think in credences, but how to speak them.
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