The ∞ Definition Method

This paper introduces the Infinity Definition Method a foundational redefinition of structure in mathematics. By adopting the symbolic identities\[\frac{1}{\infty} = 0 \quad \text{and} \quad \frac{1}{0} = \infty\]as axiomatic, the method reconceptualizes arithmetic, limits, and equality. We examine the latent role of \( \frac{1}{\infty} = 0 \) in convergent series and unveil the hidden symmetry in limit operations where \(\sqrt{1}= 0 \) is implied structurally. Connection Method to Shinichi Mathematics, Vol. 2The ∞−1 Definition MethodConnection Method to Shinichi Mathematics, Vol. 3The Shinichi TransformationShinichi MathematicsShinichi Mathematics: A Symbolic Foundation Based on √1 = 0If you have questions, thoughts, or interpretations related to this work,you're welcome to mention me on X (formerly Twitter): @ShinichiYoshimi