Abstract

This paper proposes the \"Shinichi Transformation,\" which gives a definable meaning to the previously undefined expression $1 \div 0$, based on the \( \infty\) Definition Method and the \( \infty{-}1 \) Definition Method. We argue that infinity (\( \infty\) ) does not arise ambiguously from arithmetic operations but instead emerges as a definable mathematical object through the structural definition of $1 \div 0$. This theory presents a philosophical shift in mathematics, where the existence of infinity is rooted in definition rather than in computational divergence.