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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 some ways it’s a bit like our efforts to construct the ruliad. The whole continuum of all real numbers is “from the outside” in many ways a simple construct.

Physics 122
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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. WHAT ARE YOUR PROUDEST CAREER ACHIEVEMENTS SO FAR? In these reports, companies are required to disclose their major suppliers and customers.

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

Stephen Wolfram

For three centuries theoretical models had been based on the fairly narrow set of constructs provided by mathematical equations, and particularly calculus. Sometimes they have been based on constructing programs to reproduce behavior. 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

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. But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century.

Energy 88
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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

It turns out that it’s possible to construct such a function. Later, we’ll talk about how such a function can be constructed, and the idea of neural nets. And the nontrivial scientific fact is that for an image-recognition task like this we now basically know how to construct functions that do this.

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

Stephen Wolfram

When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.