- § 1. Definition of pure mathematics
- § 2. The principles of mathematics are no longer controversial
- § 3. Pure mathematics uses only a few notions, and these are logical constants
- § 4. All pure mathematics follows formally from twenty premisses
- § 5. Asserts formal implications
- § 6. And employs variables
- § 7. Which may have any value without exception
- § 8. Mathematics deals with types of relations
- § 9. Applied mathematics is defined by the occurrence of constants which are not logical.
- § 10. Relation of mathematics to logic.

The Principles of Mathematics was written by Bertrand Russell, and published in in 1903. It is now available in the Public Domain.