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9 Good Collections of Videos for Education

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Bright Science is a free YouTube channel of over 1300 study videos for high schoolers (or precocious middle schoolers). Most are about five minutes (some longer, some shorter) and cover topics like chemistry, physics, calculus, geometry, biology, Algebra, trigonometry, grammar, ACT prep, and SAT prep. Futures Channel.

Education 153
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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

Could it really be that this was the secret that nature had been using all along to make complexity? But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. In A New Kind of Science I cataloged and studied minimal kinds of models of many types.

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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. There’s a discussion about H for systems that interact, and how there’s an equilibrium value achieved. It’s exciting now, of course, to be able to use the latest 21st-century ideas to take another step.

Energy 88
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The Concept of the Ruliad

Stephen Wolfram

The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 122
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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. It turns out that the chain rule of calculus in effect lets us “unravel” the operations done by successive layers in the neural net.

Computer 145
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

And in what follows we’ll see the great power that arises from using this to combine the achievements and intuitions of physics and mathematics—and how this lets us think about new “general laws of mathematics”, and view the ultimate foundations of mathematics in a different light. 3 | The Metamodeling of Axiomatic Mathematics.