Chapter 1 Tracking Contradictions in Geometry: The Idea of a Model from Kant to Hilbert

Chapter 2 Standard vs. Nonstandard Distinction: A Watershed in the Foundations of Mathematics

Chapter 3 Kronecker on the Foundations of Mathematics

Chapter 4 The Mysteries of Richard Dedekind

Chapter 5 Frege’s Letters

Chapter 6 Frege’s Principle

Chapter 7 Husserl and Hilbert on Completeness

Chapter 8 Hahn’s Über die Nichtarchimedischen Grössensysteme and the Development of the Modern Theory of Magnitudes and Numbers to Measure Them

Chapter 9 The Origins of Russell’s Paradox: Russell, Couturat, and the Antinomy of Infinite Number

Chapter 11 Chance Against Constructibility

Chapter 12 Thoralf Skolem, Hermann Weyl and “Das Gefühl der Welt als Begrenztes Ganzes”

Chapter 13 On Tarski’s Background

Chapter 14 Wittgenstein and Ramsey on Identity

Chapter 15 On Saying What You Really Want to Say: Wittgenstein, Gödel, and the Trisection of the Angle

Chapter 16 Gödel and Husserl