Breaking out of the fog of single formalism: Taking Bitcoin's complex adaptive architecture as inspiration, moving towards multi-dimensional intelligent systems In the wave of the digital economy, our understanding of technological architecture is facing a paradigm shift. Traditional computing models, such as Turing machines, and methods that overly rely on a single formal system (such as blockchain technology) to build complex systems, have shown their limitations when facing the inherent complexity, nonlinearity, and emergent behavior of the real world. G ö del's incompleteness theorem further reveals the inherent incompleteness of a single formal system. In order to build a truly robust, adaptable, and intelligent system, we need to go beyond linear and deterministic thinking frameworks and embrace the integration of multidimensional formal systems. The theory of Complex Adaptive Systems (CAS) provides us with a new perspective. Like successful companies like Google and Nike, efficient systems are not dominated by a single rule, but are composed of numerous autonomous and interacting individuals that emerge globally complex behaviors and adaptability through local interactions. Bitcoin is a prime example of a complex adaptive system built in code form, rather than just a distributed ledger based on a single formal blockchain technology. The innovation of Bitcoin lies in its clever integration of multiple formal systems: a decentralized peer-to-peer network as a collection of autonomous individuals; Proof of Work (PoW) serves as an adaptive adjustment mechanism that introduces environmental feedback and inherently connects the energy inputs of the physical world; The UTXO model achieves a direct mapping between on chain assets and individual users; Script languages endow transaction behavior with diversity under constraints; The longest chain consensus mechanism serves as a distributed "oracle" to coordinate network behavior and achieve self-organization. The integration of this multidimensional formal system enables Bitcoin to exhibit emerging attributes such as robustness, decentralization, and self-organization that surpass a single blockchain technology. In contrast to Bitcoin, Ethereum largely unifies its core functions within a complex, singular formal system, which may lead to increased centralization risk, reduced emergence, and inadequate real-world adaptability. In order to build future intelligent systems, including blockchain technology and artificial intelligence, we need to draw on the ideas of the P/NP paradigm, design the system as a collection of interactive formal systems, utilize nonlinear interactions and feedback loops to generate emergent behavior, and develop powerful "oracle" mechanisms to connect and coordinate these systems. A key understanding is that the availability of a system (the ability to adapt to the real world) is a fundamental prerequisite for its security. Drawing on the complex adaptive architecture of Bitcoin and breaking free from the fog of single formalism, it will lead us to explore broader application markets and build distributed intelligent systems that can better serve the interdependent and symbiotic relationship between humans, machines, and nature, such as decentralized Internet of Things, self-organizing supply chains, DAO based on natural resources, and distributed energy networks. The success of Bitcoin is not accidental, as it demonstrates the powerful potential of complex adaptive systems with code architecture, guiding us towards a more adaptive and intelligent future.