PFUS V14.0 Ultimate Framework: Unified Solutions to Ten Major Unsolved Problems in Mathematics, Geometry and Logic

Based solely on the PFUS V14.0 frustum unified system and the Four-Dimensional Unified Mathematics V6.0, this paper provides complete self-consistent and fundamental solutions to ten classic long-standing puzzles in traditional mathematics, geometry, set theory and logical paradoxes. All reasoning is derived from the 45° coaxial double-cone frustum geometry, the rigid dimensional evolution path 1\text{D} \to 5\text{D} \to 11\text{D}, the primordial triad structure, the global operator \beta_{1} and the intrinsic constant \pi_{1}=12/11. No external assumptions or ad-hoc theoretical patches are introduced. This work achieves the ultimate unification of geometry, physics, mathematics and logic, with clear structure, rigorous expression and easy readability for undergraduate students of mathematics and physics.