WHAT I’M DOING: TURNING HUMAN SPEECH INTO DECIDABLE PROPOSITIONS What are mathem

WHAT I’M DOING: TURNING HUMAN SPEECH INTO DECIDABLE PROPOSITIONS

What are mathematics, programming, formal language, operational language, and ordinary language, other than successive methods of reduction for the production of testifiability?

Each takes the excess of reality and compresses it into a narrower set of admissible distinctions so that some class of claims can be inspected, compared, reproduced, falsified, or enforced.

Ordinary language performs the loosest reduction and therefore preserves the greatest breadth of human life, but at the cost of ambiguity and strategic elasticity.

Formal language, mathematics, and programming purchase higher decidability by sacrificing semantic range for syntactic constraint, invariance, and executability.

Operational language is the necessary intermediate where human conflict resides: it does not attempt to replace ordinary speech, but to reduce contested speech into propositions sufficiently explicit for tests of truth, reciprocity, and goodness.

So the issue is not whether language is reducible—all language is already reduction. The issue is whether the reduction is sufficient for the burden at hand, and in matters of conflict, meaningful speech is necessary but insufficient until reduced to adjudicable form.

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CD