IndisputableMonolith.Mathematics.GodelTheoremsStructuralFromRS
The module defines structural objects for Gödel incompleteness results derived from Recognition Science. Researchers in foundations of logic and physics cite it to connect RS axioms to limitative theorems. It consists of definitions for LimitativeResult, its count, and GodelTheoremsCert after importing constants and Mathlib.
claimThe module defines $LimitativeResult$ as a structural limitative object, $limitativeResult_count$ as its enumeration, and $GodelTheoremsCert$ as a certificate for Gödel theorems within the RS framework.
background
The module belongs to the Mathematics domain of Recognition Science and imports Mathlib together with IndisputableMonolith.Constants. The upstream Constants module supplies the RS time quantum with doc-comment 'The fundamental RS time quantum (RS-native). τ₀ = 1 tick.' Sibling declarations inside the module introduce LimitativeResult, limitativeResult_count, GodelTheoremsCert, and godelTheoremsCert.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the structural objects LimitativeResult and GodelTheoremsCert that encode Gödel theorems inside RS. No parent theorems appear in the used_by edges; the declarations stand as base definitions for limitative results in the framework.
scope and limits
- Does not contain proofs of the Gödel theorems.
- Does not connect results to physical predictions or the forcing chain T0-T8.
- Does not reference the Recognition Composition Law or phi-ladder mass formula.