From Turing Degrees to Reality Generation: Why Satoshi Nakamoto’s Paradigm Disrupted the AI Era?

1/7 In mathematical logic, Turing degree (or degree of unsolvability) is used to measure the complexity of computational problems. Turing degrees are not simple numerical values but rather a set with an infinite, uncountable partially ordered structure. For example: • Degree 0: The lowest Turing degree, representing all computable problems. • Traditional computers: Can only handle problems with a Turing degree of 0. Historically, humans have relied on "solvable construction methods" to solve "solvable problems." 2/7 The emergence of AI is completely ending the market for "Turing degree 0." For all solvable problems with a Turing degree of 0, AI can compute faster and better. If humans remain stuck in the traditional paradigm of solving solvable problems with solvable methods, their value will be rapidly reduced to zero by AI. 3/7 However, in reality, the number of unsolvable problems far exceeds that of solvable ones. Turing degrees encompass an infinite value system, including $0'$ (the jump of degree 0, corresponding to the halting problem, representing entry-level unsolvable problems that surpass the computational difficulty of ordinary Turing machines), as well as higher-order structures like $0''$, $0'''$ generated through the "Turing jump" operator. 4/7 This is where Satoshi Nakamoto’s greatest philosophical and logical innovation lies: Bitcoin ($BTC) is essentially a system with a Turing degree of $0'$ (the jump of degree 0). In the past, people only knew how to use solvable methods to construct solvable problems. Satoshi Nakamoto was the first in history to use unsolvable construction methods to create unsolvable problems. 5/7 Traditional computers work by "finding solvable answers within rules," while Bitcoin builds a completely new system of "maintaining certainty within chaos through unsolvable games and consensus." This represents a paradigm shift from $0$ to $0'$. 6/7 By transcending Turing degree 0, humanity will enter a massive new market: Think like Satoshi Nakamoto and use methods of constructing unsolvable problems to build reality. 7/7 Because from the ultimate ontological and scientific perspective—reality itself is the largest, most complete unsolvable problem ever generated. In an era where AI computes all solvable problems, learning how to construct and generate reality using unsolvable paradigms will become humanity’s core moat of thought.