Contents

• Mysticism, number, and geometry : an introduction to Pythagoreanism
• The Elgin Marbles and Plato’s geometric chemistry
• An introduction to infinity
• The flat Earth and the spherical sky
• Theology, logic, and questions about angels
• Time, infinity, and incommensurability
• Medieval theories of vision and the discovery of space
• The shape of space and the fourth dimension
• What is a number?
• The dual nature of points and lines
• Modern mathematical infinity
• Elegance and truth