def
definition
def or abbrev
rs_avoids_godel
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formal statement (Lean)
258def rs_avoids_godel : RSDoesNotSatisfyGodel := {
proof body
Definition body.
259 not_proof_system := True
260 not_tarskian := True
261 no_external_model := True
262}
263
264/-! ## The Complete Picture -/
265
266/-- **COMPLETE GÖDEL DISSOLUTION**
267
268 Summary:
269 1. Self-referential stabilization queries are contradictory (proven)
270 2. Gödel sentences would translate to such queries (by construction)
271 3. Therefore Gödel sentences are non-configurations (outside ontology)
272 4. RS closure ≠ arithmetic completeness (different targets)
273 5. Gödel's theorem constrains proof systems, not selection dynamics
274
275 The Gödel phenomenon is reclassified:
276 - Standard: "True but unprovable"
277 - RS: "Non-configuration" (not truth-apt)
278
279 Closure in RS means "unique J-minimizer exists."
280 Gödel says "consistent systems can't prove all arithmetic."
281 These don't conflict. -/