Education

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. The consequences of that tend to surface slowly. You take a data science course and realise you cannot follow the linear algebra. You try to understand how a model is actually working under the hood and the notation stops you cold. You sit in a finance meeting and the numbers float past you. You always meant to go back and fill the gaps. You never quite did. ...

How BASIC Shaped a Generation of Programmers When you powered on a Commodore 64 in 1983, the first thing you saw was: READY. Blinking cursor. No graphical interface. No visual metaphors. Just BASIC - a programming language that wasn’t supposed to be the foundation of computing education, but became exactly that. BASIC shaped how an entire generation thought about programming. Not because it was the best language, but because it was the only language available on personal computers. If you wanted to write anything on your C64, your Spectrum, your BBC Micro, or your Apple II, you were writing BASIC. And when constraints force a population into a single tool, that tool becomes the culture. ...

TL;DR AI can now pass virtually every professional exam, breaking the long-held assumption that passing an exam equals having expertise What exams actually tested was knowledge retrieval under pressure - a bottleneck that no longer exists when machines can retrieve and apply knowledge better than any human Real expertise is what remains after knowledge retrieval is automated: judgment, integration of context, responsibility, and taste - none of which appear on any exam Professions built on credentialing (law, medicine, engineering) are being forced to confront that their proxies for expertise never measured the thing they cared about New models of assessment - portfolio-based credentialing, apprenticeship, outcomes tracking, and community reputation - will replace exams, but none of them scale as easily In 2023, Claude passed the bar exam. In 2024, it passed the CPA exam and medical licensing exams. By 2026, there’s barely an exam left that AI can’t pass, often on the first try. ...

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. ...

Most engineering concepts are easier than they look once someone explains them clearly. This page collects short explainer notes on the fundamentals I find myself re-explaining most often, each paired with the best external visual or video I have found on the topic. APIs An API is a contract: this is what I will accept, this is what I promise to return, this is how I will behave when something goes wrong. Everything else - REST, GraphQL, gRPC, WebSockets - is just a different way of expressing that contract over the wire. ...

Curated YouTube Channels Explore these trusted YouTube channels covering blockchain, cryptocurrencies, Web3, and market analysis. Educational & Technical Andreas Antonopoulos - One of the most trusted and engaging educators in the Bitcoin industry, explaining blockchain fundamentals with clarity and depth Coin Bureau - Comprehensive informational portal to the cryptocurrency ecosystem with detailed project analysis MMCrypto - In-depth coverage of cryptocurrency and blockchain topics for learners at all levels Market & Trading Altcoin Daily - Bitcoin, Ethereum, Cardano, NFTs, altcoins, metaverse, mining, trading, and investing insights ...

Overview Whether you’re a beginner exploring blockchain fundamentals or an experienced developer building decentralized applications, these curated courses provide structured learning paths from foundation concepts to advanced smart contract development. Beginner-Friendly Resources Start with fundamentals and core concepts: CryptoZombies - Interactive, game-based introduction to Solidity programming. Perfect for complete beginners to learn smart contract basics through engaging gameplay. Blockchain Council Certified Blockchain Developer™ - Professional certification program with structured curriculum covering blockchain architecture, consensus mechanisms, and development fundamentals Web3 University - Open-source education hub with accessible guides and tutorials. Great for understanding Web3 concepts without heavy technical prerequisites. ...

TL;DR A curated set of the clearest technical explainers of foundational AI concepts - the ones that build real intuition, not just vocabulary Covers fundamentals (backprop, neural networks), transformers and language models, and generative models like diffusion Authors include Andrej Karpathy, Stephen Wolfram, and NVIDIA’s developer team - high signal, low fluff Read one piece slowly rather than skimming five - the value is in working through the maths, not collecting links Pairs well with the courses list if you want a structured path after the explainers click A curated collection of clear, technical explanations of foundational AI concepts. These resources help build intuition about how modern AI systems actually work. ...