The Hierarchical Integration of Philosophy, Logic, and Mathematics

Structure A11 proposes a layered framework where philosophy, mathematics, and formal logic are vertically distributed across distinct depths rather than existing in isolation. S4 (Comprehension) functions as the critical integration point where philosophical values and mathematical structures either achieve coherence or reveal fundamental tensions—such as disputes over the ontological status of numbers. This model reframes the friction between these domains not as weakness but as a generative force that births new understanding and philosophical inquiry.