
Lux(λ) |光尘|空灵|GEB|Jun 29, 2025 17:50
From Oracle Machine to Complex System: Analyzing GEB style Narrative of "Perceived Reality"
In the grand proposition of exploring the boundary between artificial intelligence and human intelligence, a profound narrative that integrates the ideas of G ö del, Turing, and complex systems (CAS) is emerging. This narrative was proposed by thinkers such as @ BitAgere, and its core lies in redefining how we understand the fundamental question of 'perceived reality'. It advocates that true perception is not simply a calculation, but a process of judgment that continuously approaches truth through decentralized arbitration.
1、 Redefine "Perception": From Computers to Perceptrons
We first need to break a mindset: intelligence equals computation. The theoretical foundation of traditional computers is the Turing Machine proposed by Turing in 1936. Its strength lies in solving all 'computable problems' - those with deterministic answers under closed rules.
However, the real world is full of uncertainty, information asymmetry, and difficulties that cannot be directly deduced through formal logic. These belong to the category of 'uncomputable problems'. In this vast field, there exists a special type of problem called 'Decidable Problems'. Although they do not have an absolute and unique 'correct answer', they can make a relative and consensus accepted 'judgment' under some asymmetric trust model.
To solve such problems, Turing proposed an abstract model of the Oracle Turing Machine in 1939. On the basis of the standard Turing machine, the Oracle machine has added a "Oracle" black box. When the machine encounters a judgment point that cannot be calculated by itself, it can "ask" the Oracle and obtain an answer. This answer doesn't need to be proven, it just needs to be trusted.
From this, we have obtained a key analogy and definition:
The Turing machine solves computable problems, and its engineering implementation is a computer.
The oracle Turing machine solves decidable problems, and its engineering implementation can be called a perceiver.
Perceived reality "is precisely defined in this narrative as the process of the" perceptron "performing" judgment "behavior. It is not counting a number, but making a choice, a process of building trust and forming consensus.
2、 The Emergence of Order: Complex Adaptive Systems and Decentralized Arbitration
How can a single 'perceptron' form a grand system capable of perceiving reality? This leads to the concept of Complex Adaptive System (CAS).
CAS describes a system in which a large number of agents, following simple rules, interact with each other to spontaneously emerge complex, macroscopic orders without a central coordinator. In this narrative, these 'individuals' are what we define as' perceptrons'.
The core challenge they face is the "decentralized arbitration problem" (also known as the decentralized trust problem). In a system where everyone is equal and without authority, when conflicts arise (such as two people claiming to own the same asset), who should listen to?
The "double spending problem" of Bitcoin is a perfect example of this issue. A sum of money cannot be spent twice, but in a distributed network, how to reach a consensus across the entire network on which expenditure is effective is a typical decentralized arbitration problem. To solve it is for the system to 'perceive' and 'establish' a unique transactional reality.
3、 Internal Logic: Oracle Practice as a 'Super Poor Iteration'
The solution provided by the Bitcoin system is precisely the mathematical idea proposed by Turing in his 1939 paper on oracle machines - based on ordinal logic systems, known as "Superfinite Ordinary based Logic".
Its working principle is as follows:
Individual is perceptron: Each Bitcoin miner is an independent "perceptron". They try to make their own "judgments" by consuming real physical resources (computing power), packaging and verifying the received transactions.
Proof of Work (PoW), also known as Oracle: The "Oracle" of miners does not come out of thin air, but rather "Proof of Work". Computing power is unforgeable, anchoring abstract trust issues to the energy consumption of the physical world. This provides asymmetric weights for judgment.
The principle of longest chain, also known as super poor iteration: Bitcoin's consensus rule - accepting and extending the longest chain - is the algorithmic implementation of "super poor iteration". The superposition of each new block is like adding one to an ordinal number. Every layer of growth in the chain is a "trust accumulation" and "reality confirmation" of all past history. The longer the chain, the more computing power (divine judgment) is condensed behind it, and its credibility grows exponentially.
Through this iterative process of increasing trust certainty layer by layer, the Bitcoin system transforms a seemingly unsolvable "decentralized arbitration problem" into an algorithmic process that continuously evolves through competition and cooperation. In the end, a stable, singular, and trustworthy ledger reality emerged from chaos.
Conclusion: A unified narrative framework
In summary, the GEB perspective of "perceived reality" narrative provides us with a complete logical chain from abstraction to reality:
Theoretical level: Using the "Oracle Turing Machine" as a model, "perception" is defined as the judgment of "decidable problems".
System layer: Using the framework of "complex adaptive systems", it describes how a large number of independent "perceptrons" emerge order through interaction.
Mechanism layer: Based on Turing's idea of "super poor iteration", it reveals the algorithmic core for solving the problem of "decentralized arbitration".
Practical layer: Taking "Bitcoin" as an example, it demonstrates how this theory can be perfectly implemented in the real world through proof of work and the longest chain principle.
This narrative not only profoundly reveals the essence of Bitcoin, but more importantly, it provides a blueprint for building future distributed intelligent systems: future AI and agents may not be more powerful "computers", but more discerning, networked "perceptrons". They collaborate through mechanisms similar to blockchain to collectively 'perceive' and 'create' a trustworthy digital reality.
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