Boundary Truth: Optimal Calibration at the Edge of Falsehood
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| Format: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901250810839040 |
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| author | Elliott, Jacob Alexander |
| author_facet | Elliott, Jacob Alexander |
| contents | <p>This monograph formalizes the optimal calibration strategy for propositional claims un-</p> <p>der two complementary regimes: adversarial evaluation (hostile paraphrase, deposition,</p> <p>cross-examination) and lossy transmission (conversation, journalism, institutional tele-</p> <p>phone). In both regimes, the optimal claim is the boundary truth—the true proposition</p> <p>whose minimum edit distance to the nearest false proposition is exactly one operation. In</p> <p>adversarial mode, the boundary truth is maximally defensible: any distortion that changes</p> <p>the truth value requires a detectable edit, and the detectability of the edit is the defense.</p> <p>In transmission mode, the boundary truth is maximally implausible-sounding while re-</p> <p>maining strictly true, which provides maximum paraphrase buffer against the listener’s</p> <p>lossy compression. The monograph proves that the two optima coincide, derives the con-</p> <p>nection to the viability ridge at κ∗ ≈ 2/3, establishes the boundary truth as the proposi-</p> <p>tional analog of the Guard Stack’s blur belt, and posts six falsifiers.</p> <p>Keywords: boundary truth, minimum edit distance, adversarial calibration, paraphrase</p> <p>buffer, propositional geometry, viability ridge, Round-Trip Fairness, invariant debt</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18937783 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Boundary Truth: Optimal Calibration at the Edge of Falsehood Elliott, Jacob Alexander <p>This monograph formalizes the optimal calibration strategy for propositional claims un-</p> <p>der two complementary regimes: adversarial evaluation (hostile paraphrase, deposition,</p> <p>cross-examination) and lossy transmission (conversation, journalism, institutional tele-</p> <p>phone). In both regimes, the optimal claim is the boundary truth—the true proposition</p> <p>whose minimum edit distance to the nearest false proposition is exactly one operation. In</p> <p>adversarial mode, the boundary truth is maximally defensible: any distortion that changes</p> <p>the truth value requires a detectable edit, and the detectability of the edit is the defense.</p> <p>In transmission mode, the boundary truth is maximally implausible-sounding while re-</p> <p>maining strictly true, which provides maximum paraphrase buffer against the listener’s</p> <p>lossy compression. The monograph proves that the two optima coincide, derives the con-</p> <p>nection to the viability ridge at κ∗ ≈ 2/3, establishes the boundary truth as the proposi-</p> <p>tional analog of the Guard Stack’s blur belt, and posts six falsifiers.</p> <p>Keywords: boundary truth, minimum edit distance, adversarial calibration, paraphrase</p> <p>buffer, propositional geometry, viability ridge, Round-Trip Fairness, invariant debt</p> |
| title | Boundary Truth: Optimal Calibration at the Edge of Falsehood |
| url | https://doi.org/10.5281/zenodo.18937783 |