fountain.fm/episode/Up9C6z… @Rob Hamilton and I continue to discuss the arithmetic basis for understanding Bitcoin's elliptic curve cryptography. This episode can stand alone, but its part 3 We cover the Discrete Log Problem where I explain what discrete means, and what a logarithm is.

People study mathematics to find answers to questions they don’t yet know they have. Studying pure math for its own sake is an investment in your future self. Asking “why do I need this?” is your current self not understanding what your future self needs. Study math - a little bit every day magicinternetmath.com

People study mathematics to find answers to questions they don’t yet know they have. Studying pure math for its own sake is an investment in your future self. Asking “why do I need this?” is your current self not understanding what your future self needs. Study math - a little bit every day

Magic Internet Math

Interactive courses covering the mathematics that powers modern technology, from foundational algebra to the cryptography securing the internet.

Never trust a man who is nice to his AI

My math website integrates insights from Rothbard to modern day cryptography primitives. View quoted note →

My math website is fully versed in Rudolf Steiner’s seminal work. It’s a cornerstone in teaching math as a liberal art. View quoted note →

It’s remarkable that the wokes who all want to promote women all ignore Emmy Noether. View quoted note →

Since markets opened on the Iran war (3/2): 🟠 Bitcoin: +6.7% 🟡 Gold: -0.4% (gave back its entire spike) 📉 S&P 500: -1.5% 🏦 10Y Bonds: SOLD OFF (+17bps) Gold spiked, then faded. Bonds failed completely. Bitcoin is the only war trade that actually worked. Flight to safety is being redefined in real time. 🦡

Don’t talk to me about spam. Tell me why your scarce time is better spent creating a new problem to solve the old one instead of just building. You can’t do both.

Fountain: Podcasts & Music

Back on the Chain • BotC36: Birds of a Feather w/ RedTailHawk • Listen on Fountain

We’re back on the chain with a long-awaited return and a very special guest: Red Tail Hawk—writer, psychonaut, Bitcoiner, and the first-ever gu...

We had a great time with our buddy @RedTailHawk

Bitcoin is the first Standard Basis of money View quoted note →

Fundamentals of Fundamentals • The Real Cost of Guarantees—and Where Bitcoin’s Promise Ends • Listen on Fountain

https://www.magicinternetmath.comIn this solo “Fundamentals of Fundamentals” episode, I dig into the real economics of guarantees—what they a...

New solo rip. Talking about guarantees

Fountain: Podcasts & Music

Magic Internet Math • Elliptic Curve Cryptography: A Self Study Guide (part 2) • Listen on Fountain

https://ecc-study-guide.magicinternetmath.com/guide.pdf In this episode of the Magic Internet Math Podcast, the hosts continue their exploration of...

Bitcoin doesn’t need more believers. It needs more understanders. Come aboard in conversational form - then access the free textbooks and YouTube videos.

Appreciate the clip. Hope people understand the context the way you do. Nothing is given. View quoted note →

The inverse problem in Bitcoin cryptography: Given P = kG (public key = private key × generator point), finding k is the discrete logarithm problem — computationally infeasible. But step back: why does k⁻¹ exist at all? THEOREM: In a finite field 𝔽ₚ where p is prime, every non-zero element a has a multiplicative inverse a⁻¹ such that a × a⁻¹ ≡ 1 (mod p). PROOF: By Fermat's Little Theorem, a^(p-1) ≡ 1 (mod p) for any a ≠ 0. Therefore: a × a^(p-2) ≡ 1 (mod p) So: a⁻¹ = a^(p-2) This is why Bitcoin works. Not luck — mathematical certainty. New episode breaks it down: fountain.fm/show/2gdYQCIV0eZEuYOW3nGJ

🔑 Magic Internet Math Episode 4: Why the Inverse Problem Works Bitcoin's security rests on the inverse problem — but why does an inverse even EXIST? This isn't "the math is hard." This is PROOF that every non-zero element in a finite field 𝔽ₚ has a multiplicative inverse. We cover: Euclidean Algorithm (computing inverses) Fermat's Little Theorem (a^(p-1) ≡ 1 mod p) Why secp256k1 uses a prime field Group & field axioms (closure, identity, inverse) LibSecP implementation 92 minutes with @Rob Hamilton 📖 Study guide: ecc-study-guide.magicinternetmath.com/guide.pdf 🎧 Listen: fountain.fm/show/2gdYQCIV0eZEuYOW3nGJ Bitcoin isn't probably secure. It's PROVABLY secure. ⚡ Value-enabled.