Lux(λ) |光灵|GEB
Lux(λ) |光灵|GEB|Oct 29, 2025 05:27
Logic is the foundation of cognition. Aristotle's deductive method and Bacon's inductive method are the two major principles of logical expression. From Leibniz to Gödel, logicians have been dedicated to creating a simple, universal logic as the core foundational thought for all sciences. Take Turing as an example: The Turing machine theory is a formalized theory of deductive logical thought. The ordinal logic system theory is a formalized theory of inductive logical thought. Deductive reasoning is the logic of internal consistency, capable of following a 100% certainty probability. Inductive reasoning, on the other hand, is the finite experience describing the infinite through induction. It is external logic, which inherently cannot achieve 100% certainty, thus it is probabilistic. Expressing this in terms of modern scientific thought might also make sense: probability itself is logic, and the foundational thought of logic is built upon probability. Satoshi Nakamoto's Bitcoin is a real-world product that combines deductive and inductive reasoning into a probability-convergent system. Satoshi's ideas are the practical application of Leibniz/Russell/Gödel's attempts to construct a universal logic theory. The consensus mechanism solidified by Satoshi's ideas can serve as a theoretical guide for realizing any complex adaptive system. Bitcoin should not be the only product of decentralized complex adaptive systems—far from it. In the coming decades, it should be the time for Satoshi's consensus mechanism theory to be universally applied. Various complex adaptive systems, similar to Bitcoin, will continue to emerge and innovate in the world.
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