Welcome to Infinitely More

The mathematics and philosophy of the infinite

Welcome to Infinitely More, my ongoing collecton of essays on the mathematics and philosophy of the infinite. You’ll find paradox and fun—and all my favorite logic conundrums and puzzles. I like to reveal the quirky side of mathematics and logic, but with a keen eye open for when they happen to engage with philosophically deeper foundational matters.

I shall start out with a series of essays all around infinity, serializing the chapters of my forthcoming book, The Book of Infinity, a series of vignettes on infinity, covering all my favorite elementary topics. These will be comparatively light and accessible—no special mathematical background required. But a strong curiosity about infinity is best. Please enjoy, and feel free to post comments with questions or answers. I plan one or two essays each week, which I am also using in my course this semester for my class, Infinity, aimed at mathematics and philosophically inclined undergraduates at Notre Dame.

In the future, I have plans to serialize my book-in-preparation on Infinite Games, and also material from my introductory book, Topics in Logic. There is so much I want to discuss with you all.

And please go straight to my first essay:

The Book of Numbers

The Book of Numbers