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Lux(λ) |光灵|GEB
Lux(λ) |光灵|GEB|9月 26, 2025 02:54
The Three Realms of Bitcoin. The first layer: trust code, the algorithmic world of Turing machine computability theory, where blockchain technology remains. The second layer: G ö del's completeness boundary (Kant's world of things in themselves/phenomena), which includes intuitive dialectical logical thinking. The typical theory is the Turing ordinal logic system, which unifies the computable Turing machine and the uncomputable oracle machine theory of dialectical logic. The third layer: the completeness of introspection without centralization, where the system contains infinite boundaries for the future, including time. The typical logic is Nash's non cooperative game theory. How does Bitcoin use three-layer technology? 1. Bitcoin has implemented UTXO transaction calculation and Nonce calculation using computable Turing machine theory. But it leaves two self referential interfaces that it cannot handle on its own, interface one: the double flower problem (the Turing machine cannot prove whether its transactions are valid internally), and interface two: the selection problem of the longest chain calculated by Nonce. 2. Bitcoin uses the theory of ordinal logic systems to constrain the double flower problem to the fork problem of blocks, which is the selection problem of the longest chain calculated by Nonce. The theory of ordinal logic systems combines oracle machines and super poor iterative logic to unify the two major interfaces that cannot be handled by the first layer computable theory into one block fork problem, and makes local decisions through intuitive oracle logic. But there is still a problem at this point, which is the uniqueness of the longest chain, which is also the final step of decentralized convergence. This logic relies on the third level Nash introspective game theory. 3. Bitcoin utilizes Nash's non cooperative game theory to leave the second layer ordinal logic system to solve the longest chain logic that cannot converge to a unique and strongest solution. This is the complete logic of Bitcoin technology, and the vast majority of people mistakenly believe that BTC is just a computable algorithm for trust code (blockchain technology).
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10月 17, 05:41Completeness is resolved in the interaction of different forms of logic.
10月 14, 00:10The Relationship Between Nash's Craftsmanship and Bitcoin Technology
10月 04, 01:05The Three-Layered World of Computing and Its Relationship with Satoshi Nakamoto
10月 03, 01:08The logic of Bitcoin's consensus mechanism combined with game theory
9月 04, 00:20Bitcoin integrates a superformal system of consistency and completeness

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