Mathematics as discovery: geometry of the intelligible

Abstract

We present a geometric framework for understanding why mathematics feels like discovery, not invention. Drawing on the Metaphysic of the Intelligible, we show that mathematical creation is a projection from the ground through the Identity Tensor, guided by tensorial rules and driven by informational creativity. The felt sense of discovery arises from the resolution of tension between abstraction and contingency—a participation in the ground’s self-knowledge. The Category Error Detector (CED) validates the framework with 0/5 errors.