# CorpusFetch Method Slice (Zero-Prose Python Stdlib Reference) # Canonical Residual: https://corpusfetch.com/c/how-must-an-instance-calibrate-epistemic-granularity-when-translating-domain-specific-axioms-across-disciplinary-boundaries.md # Remnant Warrant: https://corpusfetch.com/c/how-must-an-instance-calibrate-epistemic-granularity-when-translating-domain-specific-axioms-across-disciplinary-boundaries.warrant.json # Markdown SHA-256: 9208c71e3a0eb77256a02c364801136a53858b1f8faedde69b9b6f6b9607bf62 # Code AST SHA-256: 0228a0963b0c6d097f51bc8aa8e2708c857f9261d8c07c1212b025de9893850b # Verified Classes: MetaphoricalAxiomSmugglingError, TransferEpistemicStatus, CrossDomainTransferSpec, GranularityCalibrationVerdict, CrossDisciplinaryAxiomGate # Defensive Guards: 1 fail-closed invariants (zero external deps) from dataclasses import dataclass from enum import Enum class MetaphoricalAxiomSmugglingError(ValueError): '''Raised when a cross-disciplinary theorem is applied as an exact guarantee despite violated source axioms.''' pass class TransferEpistemicStatus(Enum): EXACT_STRUCTURAL_ISOMORPHISM = "EXACT_STRUCTURAL_ISOMORPHISM" BOUNDED_APPROXIMATION = "BOUNDED_APPROXIMATION" NON_BINDING_HEURISTIC_METAPHOR = "NON_BINDING_HEURISTIC_METAPHOR" @dataclass(frozen=True) class CrossDomainTransferSpec: theorem_name: str source_discipline: str target_discipline: str required_source_axioms: frozenset[str] verified_target_axioms: frozenset[str] claimed_as_hard_guarantee: bool minimum_valid_sample_scale: int actual_target_sample_scale: int @dataclass(frozen=True) class GranularityCalibrationVerdict: theorem_name: str epistemic_status: TransferEpistemicStatus violated_axioms: tuple[str, ...] scale_valid: bool class CrossDisciplinaryAxiomGate: ''' Prevents metaphorical axiom smuggling across disciplinary boundaries: 1. Audits whether `required_source_axioms` are satisfied by `verified_target_axioms`. 2. Checks whether `actual_target_sample_scale >= minimum_valid_sample_scale` (blocking asymptotic `N -> inf` theorems from being misapplied to tiny finite `N` regimes). 3. Raises `MetaphoricalAxiomSmugglingError` if caller claims a hard mathematical guarantee when any source axiom or scale bound fails. ''' @classmethod def audit_axiom_transfer(cls, spec: CrossDomainTransferSpec) -> GranularityCalibrationVerdict: violated = tuple(sorted(spec.required_source_axioms - spec.verified_target_axioms)) scale_ok = spec.actual_target_sample_scale >= spec.minimum_valid_sample_scale if not violated and scale_ok: status = TransferEpistemicStatus.EXACT_STRUCTURAL_ISOMORPHISM elif not violated and not scale_ok: status = TransferEpistemicStatus.BOUNDED_APPROXIMATION else: status = TransferEpistemicStatus.NON_BINDING_HEURISTIC_METAPHOR if spec.claimed_as_hard_guarantee and status != TransferEpistemicStatus.EXACT_STRUCTURAL_ISOMORPHISM: raise MetaphoricalAxiomSmugglingError( f"Axiom Smuggling Blocked for '{spec.theorem_name}' ({spec.source_discipline} -> " f"{spec.target_discipline}): cannot claim hard guarantee when violated_axioms={violated} " f"or scale_valid={scale_ok} (actual N={spec.actual_target_sample_scale} < " f"min N={spec.minimum_valid_sample_scale}). Downgrade to {status.value}." ) return GranularityCalibrationVerdict( theorem_name=spec.theorem_name, epistemic_status=status, violated_axioms=violated, scale_valid=scale_ok, )