The Structural Ground of Logic

The classical laws of logic—identity, non-contradiction, and excluded middle—are almost universally treated as primitive axioms: presupposed by every argument but grounded by none. This paper proposes a derivation. It argues that any coherent existence-ground must differentiate into two co-primordial, antithetical aspects: bounded structural content (here designated SP, or 1) and its unbounded contextual background (here designated IP, or 0). This binary is not a logical construction but the ontological precondition for any information to exist at all—the structure that logic subsequently describes. From this minimal commitment, the three classical laws follow necessarily: identity from the self-definition of SP against IP; non-contradiction from the antithetical nature of the two poles; excluded middle from the binary’s admission of no third value. The paper engages Graham Priest’s defense of paraconsistent logic and W.V.O. Quine’s contingency thesis as the two most direct challenges, arguing that both presuppose the binary they attempt to revise. No further metaphysical commitments are required beyond the co-primordial structure itself.