Volume I • Formal logical foundations • Closed FOL • .PDF Download
The Omnisyndetic Framework Volume I
A Treatise on the Law of Contrast
Volume I fixes the station-disciplined formal layer under the inversion where identity is not primitive. It defines the admissibility ladder, blocks diagonal self-settlement, and reserves Return for closure-grade certification.
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Citation
Anderson, T. G. (2026). The Omnisyndetic Framework Volume I — A Treatise on the Law of Contrast . Omnisyndetics. CC BY-SA 4.0.
Overview
Volume I implements the inversion as a closed first-order programme with explicit signature discipline: primitives are introduced once, derived terms are defined once, and proofs cite only earlier labelled items. Contrast remains meta-level as admissibility discipline; object-language begins at distinction D(x,y).
Diagonal self-address is blocked. Closure-grade certification is carried by a dedicated witnessing route, and Return is reserved for completed closure. Presence is the interface mode under which truth-value language becomes admissible.
The volume is written for audit. The reader can trace symbol admission by station, check that later claims depend only on earlier commitments, and see where attempted readings remain unresolved when no admissible licence is available.