Abstract

This paper reconstructs modern ontology by introducing a novel logical framework: complementary infinite elimination convergence logic. Contemporary ontology faces profound crises, as exemplified by Derrida's différance leading to infinite deferral, Deleuze's difference resulting in identity dissolution, Heidegger's nothingness encountering linguistic inaccessibility, and Baudrillard's simulacra implying the erasure of reality. To overcome these dilemmas while preserving their insights, we propose three core concepts: complementary determination (approaching being indirectly via negation), infinite elimination (systematically removing inadequate predicates), and convergence movement (asymptotically approaching a stable residue). Drawing on set theory, we formalize this as a monotonically decreasing sequence {A_n}, where A_{n+1} = A_n ∩ (P_n)^c, converging to C = ∩ A_n as the ontological core. This framework mitigates postmodern nihilism through directed negation, grounded in topological convergence and minimal sets to avoid the empty set. We link this to negative theology, cognitive science (e.g., prototype theory extended to fuzzy sets), and applications in consciousness (qualia as post-elimination residue), justice (fairness from negated injustices), and aesthetics (art emerging from exclusions). Acknowledging limitations like Gödelian undecidability and contextual relativity, this approach bridges analytic and continental traditions, enabling posthumanist extensions in AI ontology.