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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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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. The theory of heat will hereafter form one of the most important branches of general physics.

Energy 88
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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 122
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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 94