Exploring mathematics is exploring humanity itself. Mathematics is a tool of thought, not a science. Mathematics does not belong to science. Science emerged only a few centuries ago as a standardized cognitive paradigm that displaced religious frameworks and became the dominant mode of human understanding. Mathematics, by contrast, appeared thousands of years earlier. It is not itself a cognitive paradigm but a human thinking tool that has grown steadily more refined and reliable, though only to a finite degree of reliability. Building on this tool, the early phase of the current AI explosion can catalyze the emergence of an entirely new standard cognitive paradigm, one fundamentally distinct from science. Just as science once superseded religion as the prevailing human cognitive framework, this new paradigm can evolve into the mainstream mode of understanding for future societies and displace the scientific paradigm. In the AI era a new intellectual archetype is taking shape. These thinkers no longer primarily investigate the natural world. Instead they explore the vast volumes of novel knowledge that AI systems generate autonomously, spanning mathematics, science, and beyond. Their role mirrors that of mathematicians and scientists under the scientific paradigm who explored nature, except that the orientation has reversed: from outward exploration of the external world to inward exploration of AI itself. This shift will drive corresponding transformations in how knowledge is produced, incentivized, and validated. Early human cognitive inquiry, from animism through later religious systems, was directed inward, centered on the self and on consciousness. Only a few centuries ago the scientific paradigm redirected attention outward toward the natural world. The present return to inward exploration represents simply another ordinary cyclical transition within the long history of human discovery paradigms.