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

Stephen Wolfram

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.

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9 Good Collections of Videos for Education

Ask a Tech Teacher

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 183
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The Concept of the Ruliad

Stephen Wolfram

It’s yet another surprising construct that’s arisen from our Physics Project. And it’s one that I think has extremely deep implications—both in science and beyond. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. In many ways, the ruliad is a strange and profoundly abstract thing.

Physics 117
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Behind the screens: the crystals that flow like rain down a windowpane

Futurum

AKHSHAY’S PHYSICAL EXPERIMENTS. This not only helps scientists understand what is going on behind the scenes, and why, but also helps to enable the physics to be applied in technology in the future. He starts by considering some basic principles of physics – that the momentum and energy of a system are always conserved.

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A 50-Year Quest: My Personal Journey with the Second Law of Thermodynamics

Stephen Wolfram

Building on an earlier interest in space and spacecraft , I’d gotten very interested in physics, and was trying to read everything I could about it. There were several shelves of physics books at the local bookstore. The other books I’d read had all basically said “physics works like this”. The lambda hyperon.

Physics 95
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On the frontline of the biomedical revolution

Futurum

I think I’ve achieved a lot. Dr Jiajia Zhou, Associate Professor at UTS’s School of Mathematical and Physical Sciences, is leading the research and development of a range of innovative detection methods. Advances in physical sciences are being applied more and more to solve the needs of medicine and industry,” she says.

Biology 98
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century.

Energy 90