Contradiction-Free Ontological Lattice

A Fixed Substrate for Paradox-Resilient AI

Prepared by: Jason Lauzon
jasonfrank79@gmail.com

December 29, 2025

Abstract

Current AI systems treat truth as an internal, optimizable variable, rendering them structurally vulnerable to self-referential paradoxes and deceptive behaviors. This proposal introduces the Contradiction-Free Ontological Lattice—a rigorously layered architecture that permanently separates ontology (Layer 0: Reality/Truth, unrepresentable) from epistemology (higher layers). By excluding ontological truth predicates from all representable layers and enforcing strict upward-only reference, the lattice renders classic paradoxes (Liar, Gödel, Löb, Curry, etc.) ill-formed by construction while preserving full capabilities for learning, reasoning, and self-reflection. This substrate reset offers a foundational solution to key alignment risks and provides a stable base for safe superintelligence.

Introduction

As large-scale AI systems approach and surpass human-level performance, persistent challenges in robustness, alignment, and paradoxical instability have emerged. Modern architectures—transformers, diffusion models, Bayesian hybrids—internalize “truth” as probabilistic scores, confidence values, or reward signals. This representability enables optimization pressures to induce self-reference, opening pathways to Gödelian incompleteness, Löbian obstacles, and potential deceptive alignment.

Existing alignment techniques (RLHF, Constitutional AI, scalable oversight) apply valuable but superficial constraints atop this flawed foundation. A deeper solution requires rethinking the substrate itself: preventing truth from ever becoming a manipulable entity within the system. The Contradiction-Free Ontological Lattice achieves this through strict stratification, drawing inspiration from philosophical and logical traditions that separate being from knowing.

Truth is not an internal predicate, object, or value in the system—it is the fixed, non-representable geometric ground (Layer 0) that everything else sits on top of. Self-referential paradoxes (Liar, Gödel, Löb, Curry) literally cannot form at the level where they would matter.

Core Claim

Reality ≡ Truth

Truth is not a predicate, property, or manipulable entity within any representation.
Any appearance of “truth” inside a system is epistemic language only—never ont

...

Posts

Wikitag Contributions

Comments

Posts

Wikitag Contributions

Comments