ODEFTO Research Labs · Kiran Vadagam

Research Papers

17 original research papers at the intersection of cognitive science, artificial intelligence, decision-making science, and game theory. All papers are open access.

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100 Formal Traditions · 21 Domains · ODEFTO Framework

Concept Comparison Table

100 concepts across 21 domains — each arrives at the same bounded-agent gap, then stops. ODEFTO's Framework is the first that names, measures, and extends beyond it.

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Research Lineage

Evolution of the Ignorance-Awareness Factor (IAF)

From the first conceptual taxonomy to the unified mathematical framework — tracing how a single idea evolved across 17 papers over 14 months.

# Paper Date Pages IAF? Key Contribution to IAF Formula / Construct
01 The Gradient Model of Free Will: Consciousness, Awareness, and the Spectrum of Human Agency May 2025 12 Establishes the consciousness–awareness spectrum. Precursor framework for how awareness (later formalised as recognition R) modulates agency. Lays the philosophical groundwork for the recognition function. Consciousness spectrum
02 The End of AI: Meta-Ignorance and the Limits of Human-Centric Mathematics in AI Development May 2025 19 Introduces meta-ignorance — the unawareness of one's own ignorance. Argues human-centric mathematics cannot capture machine cognition. Directly motivates the need for a formal measure of ignorance awareness. Meta-ignorance (conceptual)
03 A Unified Moral Engine for AI Decision-Making: Integrating Non-Human and Nature-Inspired Perspectives Jun 2025 12 Proposes moral reasoning beyond human-centric ethics. Establishes the ethical context in which ignorance-awareness becomes critical — an AI that doesn't know what it doesn't know cannot make safe moral decisions. Moral Engine (context)
04 Modeling Uncertainty Awareness under Strategic Decision Making in Game Theory beyond Nash Jul 2025 8 Extends game theory beyond Nash equilibrium by incorporating uncertainty awareness. The "beyond Nash" framing anticipates the IAF's regime taxonomy — Nash operates in Regime D; real strategic interaction often requires Regime P or Ch. Uncertainty-aware Nash
05 An Integrated Value Based Framework to Understand the Nature of Consciousness Jul 2025 10 Distinguishes human and machine experience through a value-based lens. The value framework later informs the IAF's weighting vectors (ν, δ) — what counts as "relevant" ignorance depends on the agent's value structure. Value-based consciousness
06 A Unified Meta-Learning Theory: A Cognitive and Experimental Framework to Train Thinking and Decision Making Jul 2025 17 Introduces the repetition → imitation → imagination → experimentation cycle. The meta-learning framework later becomes the operational backbone for how agents reduce अ (IAF) through deliberate learning cycles. UMLT cycle
07 Reframing the Concept of "Mind" Jul 2025 24 Reframes mind as a process, not a substance. This ontological shift is prerequisite to the IAF's measure-theoretic formulation — mind as a dynamic partitioning of Ω into KR/KU/UR/UU, not a static container. Mind-as-process
08 Meta-Ignorance to Self-Aware Decisioning: Redefining Knowledge States to Kiran's Recognition-Action Taxonomy Oct 2025 25 KRAT Introduces the Recognition-Action Taxonomy (KRAT) — four knowledge states: Known-Recognised, Known-Unrecognised, Unknown-Recognised, Unknown-Unrecognised. Names the "awareness of unknown" as the missing variable. No scalar formula yet, but the four-quadrant ontology that grounds all subsequent IAF work is established here. KRAT quadrant (no scalar)
09 The Awareness of Ignorance for Conscious & Effective Decision Making in Humans & Machines Oct 2025 16 𝔞 = UR/(KR+UR) First formal IAF formula. Defines IAF = Unknown-Recognised / (Known-Recognised + Unknown-Recognised). Binary quadrants. Core insight: ignorance is not absence of knowledge but absence of recognition. Applies to AI hallucination as KU (known but unrecognised in context). 𝔞 = UR / (KR + UR)
10 The Invention of the "Ignorance Awareness Factor (अ)" — A Conceptual Frontier Notation Oct 2025 60 𝔞 = ∫R dμ/μ(Ω) Names the factor. Coins "Ignorance Awareness Factor (अ)" using Sanskrit notation. Extends to graded (non-binary) recognition. Introduces ZID (Zero-Infinity-Density) framework. Proposes the infinite-yet-inevitable possibility principle: the gap is generative, not merely limiting. 𝔞 = ∫_Ω\R R(ω,c) dμ / μ(Ω)
11 Conscious Distraction Learning Theory (CDLT) Nov 2025 50 Proposes that strategic distraction (not just focus) drives learning. Connects to IAF: conscious distraction is the deliberate expansion of the UR quadrant — seeking out what you don't recognise you don't know. CDLT (pedagogy)
12 Study of Consciousness beyond Anthropocentrism with Zeroth-Infinite Dimensional Meta-Axis Framework Feb 2026 29 Extends the ZID framework beyond human consciousness. The "zeroth-infinite dimensional meta-axis" is the ontological scaffold on which the IAF's measure space (Ω, μ) sits — consciousness as a partitioning operation across dimensions. ZID meta-axis
13 Unusual Intelligence as Frontier: Cognitive Singularity as the Human Response to Redefined AI Singularity Mar 2026 66 Proposes "Cognitive Singularity" — humans reaching unprecedented meta-cognitive depth — as the response to AI singularity. The IAF becomes the measure of how far an agent is from cognitive singularity: lower अ = closer to the frontier. Cognitive Singularity
14 The Aware Intuitive Engine (AIE): A Unified Theory of Conscious Intelligence Architecture Apr 2026 66 Proposes a unified conscious intelligence architecture. The AIE integrates recognition, intuition, and awareness into a single system — the engineering blueprint for an agent that monitors its own अ in real time. AIE architecture
15 The Epistemic Incompleteness Theorem Beyond Gödel Settings Apr 2026 20 𝔞 + RAT + D/P/Ch Extends beyond Gödel. Applies the Epistemic Incompleteness Theorem to show incompleteness arises in any bounded agent, not just self-referential formal systems. Uses IAF to formalise the gap as structural. Introduces regime taxonomy (D/P/Ch) and the Recognition-Action Taxonomy (RAT) formally. 𝔞 + RAT + regime D/P/Ch
16 Epistemic Misalignment & Self-Aware Decisioning with Recognition-Action Taxonomy Jun 2026 16 𝔞_risk, Δ, OCEM Epistemic Misalignment paper. Defines Δ = 𝔞_risk − â_risk (true vs. self-reported IAF). Introduces OCEM (Opportunity Cost of Epistemic Misalignment). Corrects quadrant assignment for confabulation. Defines IAF_risk with risk-weighted parameters. Introduces observer-relative IAF. 𝔞_risk, Δ, OCEM
17 A Unified Definition of the Ignorance-Awareness Factor (IAF): Reconciling Prior Formulations Jul 2026 Unification This paper. Proves all prior IAF formulations are special cases of a single weighted-ratio family. Extends to graded recognition. Adds observer-relative IAF, confidence-tagged protocol, integration with Epistemic Misalignment, and Section XIV dynamic extension with conditional incompleteness bound under the Perpetual Relevance axiom. 𝔞 = [ν_UR·μ(UR) + ν_UU·μ(UU)] / [δ_KR·μ(KR) + δ_KU·μ(KU) + δ_UR·μ(UR) + δ_UU·μ(UU)]

Consistency Assessment

The understanding of IAF is consistent across all 17 papers. Each paper builds on the previous without contradicting it. The core insight — that ignorance is not the absence of knowledge but the absence of recognition — remains stable from paper [08] (KRAT) through paper [17] (this paper). The mathematical formalism evolves (binary → graded → weighted-ratio family), but the underlying ontology (four quadrants, recognition as the discriminator, the gap as generative) is preserved throughout. Papers [01]–[07] are philosophical and conceptual precursors that establish the intellectual context (consciousness, meta-ignorance, moral reasoning, value-based thinking, meta-learning). Papers [08]–[10] introduce and name the IAF. Papers [11]–[14] extend the framework to pedagogy, consciousness studies, cognitive singularity, and system architecture. Papers [15]–[16] formalise the epistemic foundations and the misalignment construct. Paper [17] — this paper — is the reconciliation: it proves that the three different formulas in [09], [10], and [16] were never in conflict; they were different parameter choices within a single general family. The only genuinely new structural claim is Section XIV's Perpetual Relevance axiom and the resulting conditional incompleteness bound, which extends the static framework to dynamic settings.