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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?

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Can we unlock the secrets hidden deep within the nucleus of an atom?

Futurum

Understanding the nucleus and its substructure is at the heart of nuclear physics. Full of exotic-sounding particles, and existing on a scale billions of times smaller than the width of a human hair, the world of nuclear physics can be daunting and bewildering. This is where nuclear physics starts to get more complex.

Physics 52
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How can smart contact lenses monitor and treat eye conditions?

Futurum

Wearable sensors can be tailored to monitor a range of physical (e.g., They developed a ‘peeling technique’, whereby the electronic components are constructed on conventional fabrication substrates that can withstand high temperatures and corrosive chemicals but can then be thinly peeled off and transferred elsewhere.

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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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Expression Evaluation and Fundamental Physics

Stephen Wolfram

And it’s all based on ideas from our Physics Project —and on a fundamental correspondence between what’s happening at the lowest level in all physical processes and in expression evaluation. And this is where we can start making an analogy with physics. And now there’s a deep analogy to physics.

Physics 108
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Career Exploration: Mathematics

PCS Edventures

Whether you agree with the theory that mathematics exists for humans to discover or that it is a man-made tool, numeric systems designed to measure the world around us serve as the foundation for scientific and technological advancement. Calculus , which calculates rates of change and infinites. What is Math?

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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 should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Experiencing the Ruliad.

Physics 122