Zuesse, Eric: A Geometric–Logical Reconsideration of Mathematical Foundations: Implications for Logic, Science, and Artificial Intelligence

This paper argues that standard mathematical frameworks treat infinity as a completed magnitude, and continuity as constructed from discrete elements, thereby distorting the structure of infinity and of the continuum. The existing foundations of mathematics attempt to represent infinite and continuous domains on the basis of finite and discrete constructions, whereas the present framework treats infinity as primitive and continuity as dependent upon unboundedness, and it derives finite and discr