What is our symbolic intuition of reality, and how is it possible? In Toward a New Conception of Mathematics, Davide Lo Vetere leads us on an extraordinary journey to explore the origin of our mathematical intuition of reality, and lays down the foundations of a unifying style of reasoning that rewrites our rational and intuitive understanding of reality with profound and far-reaching consequences in practically every aspect of human thought. In a series of mind-boggling thought experiments, Lo Vetere shows with dazzling clarity the invisible structure of abstract thought, by decoding the organizing principles that operate when we imagine, create and explain concepts, and invites us to rewire ourselves with radical and deeply unintuitive ideas about the meaning of the terms knowledge, comprehension, objectivity, meaning, explanation, information, communication, computation and consciousness. Part metaphysical adventure, part textbook, Toward a New Conception of Mathematics is an agenda-setting book for thinkers, and a must-have for anyone who wants to understand the metaphysical structure of reality and the fabric of human thought.