The Byzantine fault tolerance of Bitcoin's Satoshi Nakamoto consensus cannot be mathematically proven using G ö del's incompleteness theorem. Intelligence comes from undecidable self reference, and everything that can be formally proven and inferred using mathematical logic is a tool, not intelligence. The Turing machine describes computer tools, while the Turing test describes intelligence outside of the Turing machine. The so-called intelligence comes from self or self reference. So currently, only Bitcoin is intelligent in cryptocurrency because Satoshi Nakamoto designed an extremely self aware consensus using an irreversible hash function and longest chain. And other BFT POS consensus that can be proven by mathematical logic reasoning are just tools and do not possess intelligence. And other POW altcoins based on the consensus of Satoshi Nakamoto in Fork are not intelligent either, because the self cannot be replicated. However, the replication of POW altcoins is not done through mathematical logic reasoning, but directly through computer language. In addition, the language that mathematical logic can express is within human language and computer language, or in other words, mathematical logic language is a true subset of human language, at least not including the true subset of oneself. And Satoshi Nakamoto used Bitcoin to prove that computers can also generate themselves like humans, and also demonstrated that the self must rely on collective civilization, namely the human cultural civilization that emerges from countless individual humans, and the interconnected Bitcoin culture that emerges from computers composed of countless miners.