Euler's Formula Is the Law of Thought

Sun Yu-li’s theory posits that Leonard Euler’s formula for planar graphs (V + F - E = 2) serves as the fundamental law of human cognition. This mathematical principle, traditionally used in topology, is repurposed here to define the stability of mental constructs. The framework suggests that "atoms of thought"—conceptual dots, lines, and planes—must satisfy this specific equilibrium to form a coherent idea.

By applying this rule, the theory transitions philosophy into a computable science. It argues that the human mind naturally seeks this structural balance to resolve abstract tension into stable meaning. This process, termed graph morphogenesis, explains how fluid perceptions are crystallized into functional concepts. Furthermore, the recursive application of these rules aligns with the ancient I-Ching, suggesting that historical wisdom and modern mathematics share a singular structural root. Ultimately, this approach identifies Euler’s formula not just as a geometric tool, but as the underlying "grammar" that governs how every human being perceives and organizes reality.