Mathematics

I have written about one of Max Tegmark’s ideas already - the Mathematical Universe Hypothesis - and in doing so I admitted he sits at the top of my favourite physicists list. That post was about a single claim. This one is about the man, and about the thing I find more interesting than any individual theory of his: the through-line. Tegmark has spent a career moving steadily inward, from measurable cosmology toward the deepest possible questions about what reality is, and the move never feels like a physicist losing the plot and drifting into metaphysics. It feels like someone following the maths until it runs out of floor. ...

In Why Is There Something Rather Than Nothing? I admitted to an instinct I have never quite been able to shake: that the laws of physics are discovered rather than invented, and that mathematics might be genuinely fundamental - not a human language we lay over reality, but part of the bedrock. I said that if we ever reach base reality, maths is the thing most likely to get us there. I left it as a feeling. This post is me taking that feeling and seeing how far a serious physicist has been willing to push it. ...

TL;DR Math Academy is an AI-driven adaptive learning platform covering everything from 4th-grade arithmetic to university-level linear algebra and machine learning mathematics Its headline claim: four times the speed of a traditional class, compressing roughly 180 classroom hours into 20-40 hours of focused practice The mechanism is what makes the claim worth taking seriously - fully adaptive diagnostics, spaced repetition, and mastery-based progression with no filler It is built for exactly the adult who always meant to go back and fill the gaps: the data science course you cannot follow, the notation that stops you cold The honest caveat: the speed claim assumes you sit down and do the work consistently - the platform cannot manufacture motivation from nothing The Gap Between Knowing Maths and Being Good at It Most adults who went through mainstream education have a complicated relationship with maths. They were taught it, they passed it (or did not), and then they mostly stopped doing it. Somewhere between primary school and the end of formal education, the subject either clicked or it did not - and for a significant majority, it did not. ...

What Are Very Large Numbers? Large numbers exist on a spectrum so extreme that human intuition breaks down. From the observable universe containing roughly 10^80 atoms, to numbers so impossibly vast that they dwarf the atoms themselves, these magnitudes challenge our ability to comprehend scale. But they’re not just abstract curiosities. Large numbers appear in computer science (combinatorics, compression), physics (entropy, quantum possibilities), and mathematics (set theory, ordinal numbers). Understanding them requires leaving behind our everyday sense of “big” and embracing the mathematical structures that define these hierarchies. ...

Max Tegmark Cosmologist and physicist known for his work on the mathematical universe hypothesis and multiverse theory. His research bridges the gap between quantum mechanics and cosmology, exploring the deepest questions about the nature of reality. The Case for Halting AI Development Max Tegmark joins Lex Fridman to discuss the urgent need to pause advanced AI development, exploring the existential risks of artificial intelligence and what safeguards humanity needs as we approach transformative technologies. ...