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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. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

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

Futurum

Numbers and networks: how can we use mathematics to assess the resilience of global supply chains? At Brigham Young University in the US, Dr Zach Boyd is using his mathematical skills to determine how best to protect our supply chains. BUILDING MATHEMATICAL MODELS. FIELD OF RESEARCH: Mathematics. Published: July 13, 2022.

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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. Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). Experiencing the Ruliad.

Physics 116
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Behind the screens: the crystals that flow like rain down a windowpane

Futurum

Mathematically, a sphere is the shape that minimises the surface area of a fixed volume, explaining why small water droplets on a flat surface take the shape of a spherical cap. JOSEPH’S MATHEMATICAL MODELS. Joseph builds mathematical models for the height of rivulets, based on mathematical equations. Applied Mathematics.

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Indoor STEM Activities for Kids

STEM Sport

Focusing on STEM (science, technology, engineering, and mathematics) activities can be an excellent strategy to keep students engaged in winter. Below are five engineering activities that use everyday items: Popsicle Stick Bridges: Use popsicle sticks and glue to construct bridges.

STEM 52
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How can we make STEM subjects more engaging for students?

Futurum

This usually means a university student who is in training to become a teacher Self-learning — an approach to learning where students teach themselves by following instructions and figuring out answers on their own STEM — subjects related to science, technology, engineering and mathematics When did you last make something in school?

STEM 81
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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. From mathematics. Mathematical physics. By the late 1970s, though, there were other initiatives emerging, particularly coming from mathematics and mathematical physics. Synergetics.