Reimagining mathematics — from the inside

About

I'm David A. Smith. Direct Knowledge is the home of my research on Connection Theory, where I publish explainers, tutorials, and textbooks as free PDF downloads.

The writing is meant for readers from any field, whether you work in mathematics, physics, computer science, or philosophy.

Explainers

What is Connection Theory?

A short, plain-language introduction to the central ideas, written for readers from any field.

September 2026, 12 pages

Key terms and notation

The vocabulary and symbols used throughout the research, collected in one place for quick reference.

July 2026, 6 pages

Research

This section will describe Connection Theory in more depth: the questions it asks, the ideas it builds on, and what it offers readers from different fields.

The final text will come from a review of the monograph, which is nearing completion.

Contact

Questions, corrections, and conversations about Connection Theory are welcome. I read every message that arrives, though a reply may take some time.

dasmith@directknowledge.com