Why Mathematics Works

In this thought-provoking book, Boris Kriger explores why mathematics so powerfully and precisely describes the physical world, proposing that the universe's enduring features—such as atoms, stars, and laws—naturally give rise to mathematical structures. Through a comprehensive twenty-four-chapter argument, Kriger examines how invariants and conserved quantities shape our understanding from fundamental physics to biology and social sciences, without relying on complex equations. He addresses whether mathematics is a universal mirror of reality or a projection of the mind, ultimately arguing that the world’s persistent invariants make the mathematical order an inevitable signature of existence.