The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.

Chapter 1 Plato's Philosophies of Mathematics, Chapter 2 Geometry, Chapter 3 Formalism, Chapter 4 Numbers: The Cardinal Approach, Chapter 5 Numbers: The Ordinal Approach, Chapter 6 Numbers: The Abstract Approach, Chapter 7 The Infinite, Chapter 8 The Implications of Gödel's Theorem, Chapter 9 Transitive Relations