Arana A. Elements of Purity 2024

Textbook in PDF format

Purity in Practice
Einstein on Purity in Geometry
Purity in Number Theory: Jacobi’s Four Squares Theorem
Summing up the Case Studies
Purity of Proof vs. Purity of Definition
Looking Ahead
A Brief History of Purity
Types of Purity
Geographical Purity
Topical Purity
Syntactic Purity
Logical Purity
Elemental Purity
Values of Purity
Purity and Rigor
Purity, Understanding and Explanation
Geographical Purity and Local Knowledge
Topical Purity and the Stability of Knowledge
The Simplicity of Purity and Impurity
Conclusions
References