Nulla est via regia ad geometriam.
There is no royal road to geometry.

Mathematics appears here as both instrument and independent object of study: a language of proof, abstraction, and formal order through which difficult physical and philosophical questions may be made precise.

Emphases

• structure and algebra
• analysis and approximation
• geometry, topology, and the shapes of reasoning
• the formal grammar needed by theoretical work elsewhere in the notebook

Use

This section gathers definitions, short lemmas, worked examples, and links outward into physics, graphics, and computation.