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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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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Physics 65
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St. Patrick's Day STEM Centers

Carly and Adam

From constructing pixel art and designing clover creations to building bridges and experimenting with physics through catapults, these activities foster critical thinking, creativity, and collaboration among students. The game encourages mathematical thinking, probability, and social interaction, making learning dynamic and interactive.

STEM 97
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Modelling minds: can computers mimic human intelligence?

Futurum

For example, computers can perform thousands of calculations per second, meaning they can solve some mathematical problems far more quickly and accurately than humans. Understanding how the human brain functions so efficiently and flexibly remains one of the greatest mysteries of science. But does this mean they are smarter than us?

Computer 130
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The Science of Summer Camps

PCS Edventures

This challenge has a simple solution — integrate STEAM (Science, Technology, Engineering, Arts and Mathematics) into your summer program! Pairing a flexible learning environment with subject exposure increases learning retention in a manner that’s so invigorating campers won’t even realize they’re learning. Let’s dive in.

Science 92
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Can AI Solve Science?

Stephen Wolfram

Three centuries ago science was transformed by the idea of representing the world using mathematics. A key idea—ultimately supported at a foundational level by our Physics Project —is that we can think of everything that happens as a computational process. The system is doing a computation to determine its behavior.

Science 122
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How can wing design improve aircraft flight?

Futurum

Today, aeronautical engineers are focused on improving the efficiency of aircraft, by designing longer, thinner, more flexible wings. At the University of Bristol , UK, Dr Punsara Navaratna and Dr Alessandro Pontillo are developing new testing and modelling techniques for novel wing design and the added complexities of a flexible aircraft.