Millennium / Mathematics
Closure by Exhaustion for Same-Scope Operators under Admissibility (Mathematics)
Closure by Exhaustion for Same-Scope Operators under Admissibility A Definitive Boundary Theorem in the Foundations of Mathematics We prove a, uncompromising closure theorem: Once a standing-bearing carrier is fixed inside a standing-relative admissibility regime, no same-scope operator can ever generate genuinely new admissible standing on that carrier . Treating the carrier as a partial algebra whose primitive domains encode admissibility, the paper delivers three interlocking results: Ironclad graph rigidity...