
Lux(λ) |光灵|GEB|Sep 25, 2025 02:02
1/ Nash's academic background truly equipped him with all the knowledge needed to create Bitcoin.
He laid the foundation in Gödel's logic, nonlinear topology, and machine control theory, and as early as the 1950s, he was already studying self-organization and parallel control.
2/ Turing's theory is linear: Turing machines and ordinal logic define what is computable and non-computable.
However, these systems still require external observers to intervene; the system itself cannot be self-sufficient.
3/ Nash's breakthrough lies in non-cooperative game theory.
He advanced ordinal logic to a nonlinear, non-cooperative level, constructing a self-organizing and self-reflective logical system.
4/ Non-cooperative game theory implies: nonlinearity, completeness, decentralization, and self-organization.
It incorporates uncertainty and infinite participants, making it the closest logical system to natural systems.
5/ Nash's layered self-reflective logic has three tiers:
Turing machine: Computable
Ordinal logic: Non-computable
Self-reflective logic: Nonlinear and self-organizing
Each layer addresses problems in different dimensions.
6/ Ultimately, Nash's non-cooperative game theory logic achieved overall completeness:
The system can self-organize into stable equilibrium within the game without requiring external adjudicators.
7/
This is precisely the logic behind Bitcoin:
Underlying computation → Turing machine
Time chain → Ordinal logic
Decentralized consensus (converging to a single strongest solution) → Non-cooperative game theory
Bitcoin is not merely computer science; it is the fusion of Nash + Turing.
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