Solomonic Number Theory: An Inversion of Euclidean Foundations

This paper introduces a radical inversion of Euclidean arithmetic, here termed “Solomonic Number Theory.” By systematically negating the classical axioms of num- ber theory, we arrive at a finite, probabilistic, and anti-infinite mathematical frame- work. This approach merges philosophical negation with mathematical formalism, suggesting a new paradigm for the foundations of arithmetic.