Allen Farrington

Allen Farrington

Author: Brian HIrschfield and Rob Hamilton May 15, 2026 Duration: 1:32:21

In this first-ever guest episode of Magic Internet Math, Rob Hamilton and I (Brian Hirschfield) welcome author and thinker Allen Farrington for an unfiltered tour through math as a liberal art, why rigor matters more than vibes, and how curiosity—not applications—often drives real progress. We trade stories about learning (and unlearning) math, from the lore of the irrationality of √2 and CP Snow’s Two Cultures, to Paul Lockhart’s Mathematician’s Lament, Joel David Hamkins’ philosophy of mathematics, and the perennial tug-of-war between pure and applied work. We also dig into education: what good teaching feels like, why boredom or excessive difficulty turn students off, and how letting people “cook” can build conviction and genuine understanding.

From elliptic curves to hash functions, we connect math to Bitcoin without turning into “I f’ing love science” cosplay. Allen throws down a challenge on explaining why hash functions have the properties we rely on (beyond just how they’re built or what they do), teeing up our next series. Along the way we touch cryptography culture, modular arithmetic, the modularity theorem vs. Fermat’s Last Theorem credit, and how AI tools help—and fail—when you push past the training data. Come for the banter; stay for the foundations, the philosophy, and the mission to create shareholder value by going pointlessly deep in order to build practical tools later.


What if the foundational ideas securing Bitcoin weren't just abstract concepts but something you could grasp and verify for yourself? Magic Internet Math, hosted by Brian Hirschfield and Rob Hamilton, is built on the conviction that true ownership in the digital age requires personal understanding. This podcast delves into the specific mathematical principles that make Bitcoin function, moving beyond surface-level explanations to explore the actual reasoning behind the protocol. The goal is to replace reliance on experts with genuine, self-verified knowledge. Hirschfield and Hamilton believe that without comprehending this core math, one's belief in the system remains fragile, always subject to external influence and uncertainty. Their discussions aim to transform complex topics into accessible, conversational explorations, breaking down the barriers that often make technical subjects feel intimidating. By focusing on the logical pathways from first principles, the show provides listeners with the tools to build their own intellectual conviction. It’s for anyone who has ever wondered how Bitcoin actually works under the hood and feels that trusting a white paper or a charismatic figure isn't quite enough. The conversations in this podcast are designed to empower, offering a deeper literacy in the cryptographic and economic ideas that define this new asset class. You'll hear detailed walkthroughs of key algorithms, discussions on probability and game theory as they apply to consensus, and an ongoing analysis of how mathematical certainty creates a new form of digital sovereignty. This isn't about investment advice or price speculation; it's a foundational education. Tune in to shift from being a passive holder to an informed participant, equipped with the knowledge to critically evaluate the system you’re trusting with your value. Magic Internet Math frames mathematics not as a gatekeeper, but as the essential tool for liberation and confidence in a rapidly evolving technological landscape.
Author: Language: English Episodes: 32

Magic Internet Math
Podcast Episodes
The Genesis Episode: Reteaching Math as a Liberal Art [not-audio_url] [/not-audio_url]

Duration: 1:18:58
Magic Internet Math Hub: https://mathacademy-cyan.vercel.app/index.htmlBrian Hirschfield X: @fundamentals21m npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g Website: https://zeuspay.com/btc-for-institutio…