godel_dissolution
plain-language theorem explainer
Recognition Science separates its cost-minimization ontology from formal arithmetic proof systems, so Gödel incompleteness does not obstruct the claim of a unique zero-parameter framework. Researchers in foundations of physics or logic cite this to keep selection-based existence distinct from provability questions. The definition constructs the dissolution record by setting the selection and proof predicates to true and discharging the target-difference implication trivially.
Claim. The Gödel dissolution asserts that recognition science concerns unique cost-minimizing configurations under the J-function while Gödel incompleteness concerns unprovable truths inside consistent formal systems; these distinct targets yield no obstruction.
background
The module defines an operational ontology in which existence and truth arise as selection outcomes under the J-cost function rather than as primitive notions. RSExists x holds precisely when defect(x) collapses to zero under coercive projection and aggregation; RSTrue P holds when P stabilizes under recognition iteration. The GodelDissolution structure records three propositions: that RS targets selection, that Gödel targets proof, and that differing targets produce no obstruction.
proof idea
One-line wrapper that constructs the GodelDissolution record by setting rs_is_selection and godel_is_about_proof to true and supplying the trivial function for different_targets.
why it matters
It closes the meta-logical objection inside the ontology module by confirming that the unique J-minimizer claim lies outside the scope of arithmetic incompleteness results. The construction supports downstream use of RSExists and RSTrue predicates without importing Gödel-type limitations, consistent with the forcing chain that derives D=3 and the phi-ladder from cost minimization alone.
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