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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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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. Experiencing the Ruliad.

Physics 122
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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

And there was something else: the computer system I’d built was a language that I’d realized (in a nod to my experience with reductionist physical science) would be the most powerful if it could be based on principles and primitives that were as minimal as possible. Mathematical physics. The Emergence of a New Kind of Science.

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

Stephen Wolfram

It began partly as an empirical law, and partly as something abstractly constructed on the basis of the idea of molecules, that nobody at the time knew for sure existed. The theory of heat will hereafter form one of the most important branches of general physics. physics) in Glasgow—began to be curious about.

Energy 88
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Numbers and networks: how can we use mathematics to assess the resilience of global supply chains?

Futurum

Mathematically, these records make it fairly easy to construct a supply chain network,” says Zach. There are many branches of maths, including algebra, geometry, calculus and statistics. I took a physics class in high school and thought that might be a good application for my interests. Turns out, I was wrong.

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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

And for example the concept of “temperature” is there because exponential distributions familiar from statistical physics happen to be being used, but there’s no “physical” connection—at least so far as we know.) In this particular case, we can use known laws of physics to work it out.

Computer 145