Abstract

This paper identifies and analyses fifteen foundational contradictions, paradigmatic seams, across physics, mathematics, cognitive science, and computation. A seam is a point where a theoretical framework produces results it cannot ground in its own terms: the framework functions but encounters phenomena that expose tensions between its operative assumptions and its outputs. We demonstrate that these seams share a common structure: each paradigm assumes discrete, separable, local structures but produces holistic, relational, global phenomena it cannot explain. The measurement problem in quantum mechanics, the arrow of time in thermodynamics, Gödel's incompleteness in mathematics, the hard problem in consciousness studies, and the frame problem in artificial intelligence are shown to be manifestations of the same underlying rupture. This convergence reveals that the computational theory of mind inherits structural failures already present in physics and mathematics. The paper concludes by articulating the ontological requirements that would resolve these seams: ecstatic temporality, metabolic transformation, autopoietic closure, embodied situatedness, field integration, and constitutive finitude. These requirements specify what any post-computational cognitive architecture must exhibit.