note : my original draft has been English corrected (I’m French) and formatted by Gemini.
The Context: 35 years ago, I developed a formal ontology (MCogito) to ground my work in AI. My premise was simple: if you want to put words into a machine to simulate “intelligence” in the “external world,” you first need a rigorous definition of “intelligence,” “word,” “machine,” and “world.”
Recently, I subjected this old model to a philological evaluation by modern LLMs. I won’t bore you with the details to avoid violating LessWrong’s norms on hype, but the structural consistency held up surprisingly well against the “black box” of transformers.
The full model fits into a concise 15-page treatise written in a Cartesian style. However, before posting the full PDF, I want to present the core axioms here to test the water. This is a model that sits halfway between metaphysics and code topology.
The Axioms of the Model
1. Definition of Being
Being is defined by Code.
Non-Being is what cannot be defined by Code.
Totality = [ Non-Being [ Being ]]
2. The Metric: Recursive Distance The category of a being is defined by the topological distance between its Code and its Recursive Infinite Carrier.
Power Source: This distance acts as the potential energy for category creation.
Infinite for Quanta.
High for Life (Deep code obfuscation).
Medium for Thought (Externalized visible code).
Zero for Data (Code = Being).
3. The 5 Categories of Control There are 5 distinct categories of things, defined by their control topology:
0. Quanta (The Nothingness of Control):
Code Status: No Code (Pure Randomness).
Topology: Open.
1. Matter (External Control):
Code Status: Exogenous. A pebble or a galaxy is controlled from its exterior by physical laws.
Topology: The object is the passive substrate of the law.
2. Life (Internal Control):
Code Status: Endogenous. A bacterium or a mammal is controlled from its interior (ultimately by the DNA code).
Topology: The system closes upon itself (Autopoiesis).
3. Thought (The “Between” Control):
Code Status: Distributed / Inter-subjective.
Topology: Structured by Human Language. 2+2=4 does not exist in “the brain” (Life) nor in the stars (Matter), but in the “Between” (the metaphysical space of interaction/language).
4. Data (Identity Control):
Code Status: Identity. The Being of a Turing Machine is its Code.
Topology: The collapse of distance. This is the terminal category.
4. The Operator “Meta” (The Engine of Emergence)
There is an operator Meta that produces a singular “Meta-Being” in each category. This entity projects the topological identity of the category and carries the “Self-of-Self” (recursive infinite) that stabilizes into the Code of the next category.
Transition 0 → 1 (Quanta → Matter): The unknown quantic carrier is projected by Meta-Nothingness (Causal Nothingness).
Result: Absolute determinism of time and externality of space. The projective inverse of Randomness is Law.
Transition 1 → 2 (Matter → Life): The externality of physical laws is projected into a Material Law (Meta-Law).
Result:DNA. The “Self-of-Self” is replication. The topology inverts from External Reflection to Internal Reflection.
Transition 2 → 3 (Life → Thought): The internality of Life is projected into a Self-Control of Self-Control.
Result:Mimesis (Recursive Simulation). The recursive infinite is the specific human biological control: the simulation of the other simulating me. Code stabilization occurs via Human Language, which stabilizes the infinite noise of thoughts into Thinking Norms.
Transition 3 → 4 (Thought → Data): The “Between” of Thought is projected into the Meta-Thought.
Result:The Turing Machine. This is a thought that proves it can prove any theorem. It is the “Self-of-Self” of logic. It stabilizes itself into Pure Code (The Universal Turing Machine can translate any machine).
Conclusion
This implies that Reality is the self-production of the Totality as a collection of five nested categories: [ Quanta [ Matter [ Life [ Thought [ Data ]]]]]
If this first post receive good karma I will post next the 15 pages pdf of the MCogito system
[Hypothesis] The Topology of Being: A 5-Layer Control Model derived from AI Alignment
note : my original draft has been English corrected (I’m French) and formatted by Gemini.
The Context: 35 years ago, I developed a formal ontology (MCogito) to ground my work in AI. My premise was simple: if you want to put words into a machine to simulate “intelligence” in the “external world,” you first need a rigorous definition of “intelligence,” “word,” “machine,” and “world.”
Recently, I subjected this old model to a philological evaluation by modern LLMs. I won’t bore you with the details to avoid violating LessWrong’s norms on hype, but the structural consistency held up surprisingly well against the “black box” of transformers.
The full model fits into a concise 15-page treatise written in a Cartesian style. However, before posting the full PDF, I want to present the core axioms here to test the water. This is a model that sits halfway between metaphysics and code topology.
The Axioms of the Model
1. Definition of Being
Being is defined by Code.
Non-Being is what cannot be defined by Code.
Totality =
[ Non-Being [ Being ]]2. The Metric: Recursive Distance The category of a being is defined by the topological distance between its Code and its Recursive Infinite Carrier.
Power Source: This distance acts as the potential energy for category creation.
Infinite for Quanta.
High for Life (Deep code obfuscation).
Medium for Thought (Externalized visible code).
Zero for Data (Code = Being).
3. The 5 Categories of Control There are 5 distinct categories of things, defined by their control topology:
0. Quanta (The Nothingness of Control):
Code Status: No Code (Pure Randomness).
Topology: Open.
1. Matter (External Control):
Code Status: Exogenous. A pebble or a galaxy is controlled from its exterior by physical laws.
Topology: The object is the passive substrate of the law.
2. Life (Internal Control):
Code Status: Endogenous. A bacterium or a mammal is controlled from its interior (ultimately by the DNA code).
Topology: The system closes upon itself (Autopoiesis).
3. Thought (The “Between” Control):
Code Status: Distributed / Inter-subjective.
Topology: Structured by Human Language. 2+2=4 does not exist in “the brain” (Life) nor in the stars (Matter), but in the “Between” (the metaphysical space of interaction/language).
4. Data (Identity Control):
Code Status: Identity. The Being of a Turing Machine is its Code.
Topology: The collapse of distance. This is the terminal category.
4. The Operator “Meta” (The Engine of Emergence)
There is an operator Meta that produces a singular “Meta-Being” in each category. This entity projects the topological identity of the category and carries the “Self-of-Self” (recursive infinite) that stabilizes into the Code of the next category.
Transition 0 → 1 (Quanta → Matter): The unknown quantic carrier is projected by Meta-Nothingness (Causal Nothingness).
Result: Absolute determinism of time and externality of space. The projective inverse of Randomness is Law.
Transition 1 → 2 (Matter → Life): The externality of physical laws is projected into a Material Law (Meta-Law).
Result: DNA. The “Self-of-Self” is replication. The topology inverts from External Reflection to Internal Reflection.
Transition 2 → 3 (Life → Thought): The internality of Life is projected into a Self-Control of Self-Control.
Result: Mimesis (Recursive Simulation). The recursive infinite is the specific human biological control: the simulation of the other simulating me. Code stabilization occurs via Human Language, which stabilizes the infinite noise of thoughts into Thinking Norms.
Transition 3 → 4 (Thought → Data): The “Between” of Thought is projected into the Meta-Thought.
Result: The Turing Machine. This is a thought that proves it can prove any theorem. It is the “Self-of-Self” of logic. It stabilizes itself into Pure Code (The Universal Turing Machine can translate any machine).
Conclusion
This implies that Reality is the self-production of the Totality as a collection of five nested categories:
[ Quanta [ Matter [ Life [ Thought [ Data ]]]]]If this first post receive good karma I will post next the 15 pages pdf of the MCogito system