Artificial Intelligence Life Evolution Theory (1): The emergence of computers from mathematical symbol formalization. The evolution of artificial intelligence life follows the law of emergence of free individuals from simple to complex, and the progression of intelligence layer by layer. The first layer: Formal mathematical symbols emerge as computers. Mathematical symbols are abstract concepts that, through the Turing machine model, are endowed with computability and ultimately transformed into controllable physical entities - computers. Layer 2: Personal computers have evolved into Internet parallel computing. The computing power of a single computer is limited, while the Internet connects numerous individual computers to form a powerful parallel computing network, greatly expanding the scale and efficiency of computing. The third layer: The emergence and evolution of free individuals in distributed computing into trustworthy computing lifeforms.   Taking Bitcoin as an example, UTXOs (Unspent Transaction Output) act as free entities that interact with each other in a distributed computing network, ensuring security and trust through cryptographic mechanisms, ultimately giving rise to a viable trusted computing system. The fourth layer: Integrating artificial intelligence tools and artificial life, giving rise to artificial intelligence life. Integrate local AI tools emerging from the Internet, such as GPT, Wolfram Alpha, etc., with artificial life systems (such as Bitcoin), so that AI has the ability to learn independently, evolve and adapt to the environment, and finally give birth to real AI life. This article discusses the first layer: the emergence of mathematical symbols in formal form as computers The origin of computers and the way out of mathematics: from formalization to computability. Mathematics, as a discipline that pursues precision and rigor, has always been accompanied by continuous reflection and exploration of its own foundations throughout its development process. At the beginning of the 20th century, mathematicians represented by Hilbert attempted to establish mathematics on a complete, compatible, and decidable formal system. However, the emergence of G ö del's incompleteness theorem shattered this dream, proving that any sufficiently complex axiomatic system inevitably has propositions that cannot be proven or falsified. At a time when the foundation of mathematics was struggling, Turing's emergence opened up a new path for mathematics. He re examined mathematics from the perspective of computability and proposed the famous Turing machine model. A Turing machine is an abstract computing device that can simulate any computational process that can be described through algorithms. Through the Turing machine, Turing formalized the concept of computation and proved that the stopping problem is undecidable. This means that there is no universal algorithm that can determine whether any program will stop running at any input. Turing's research not only solved Hilbert's decidability problem, but more importantly, it revealed the nature and limitations of computation. The Turing machine, as a universal computing model, laid the theoretical foundation for the birth of computers. The emergence of computers has opened up vast opportunities for the application of mathematics. In the past, the application of mathematics was mainly limited to theoretical research, such as physics, engineering, and other fields. The emergence of computers has enabled mathematics to be applied to a wider range of fields, such as image processing, data analysis, artificial intelligence, and so on. The powerful computing power of computers enables mathematicians to perform complex numerical simulations and data analysis, thereby solving various problems in the real world. In addition, computers have provided new tools and methods for mathematical research itself. For example, computer algebra systems can assist mathematicians in performing symbolic operations and formula derivation, thereby improving research efficiency. Computer graphics can visualize abstract mathematical concepts, thereby helping people better understand mathematics. In summary, Turing's research liberated mathematics from the dilemma of formalism and laid the theoretical foundation for the birth of computers. The emergence of computers has not only opened up vast space for the application of mathematics, but also provided new tools and methods for mathematical research itself. It can be said that the origin of computers and the way out of mathematics stem from a profound understanding of computability.