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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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The Math Revolution You Haven’t Heard About

ED Surge

Over the summer, the professor from the University of California at Santa Cruz, spent a week at Harvard to learn how to redesign the mathematics for life sciences courses his institution offers. A room of educators gets schooled on the rigors of mathematical modeling in the life sciences.

Math 362
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Two Main Branches of Mathematics That Kids Need to Learn

STEM Education Guide

A well-organized world without the use of mathematics is unimaginable. Therefore, it’s no surprise that a wealth of mathematical branches exists in the world today. Nowadays, a mathematics study from the basics to advanced levels that contribute to technology, medicine, engineering, and more. What Is Mathematics?

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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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How to Think Computationally about AI, the Universe and Everything

Stephen Wolfram

Mathematics. And one of the stunningly beautiful things—at least for a physicist like me—is that the same phenomenon that in physical space gives us gravity, in branchial space gives us quantum mechanics. It’s because we’re observers like us that we perceive the laws of physics we do. These are all ways to formalize the world.

Computer 135
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How can first-year STEM university students be better supported?

Futurum

At the University of Pittsburgh at Greensburg in the US, biologists Barbara Barnhart and Dr Olivia Long are using their Science Seminar programme to ease this transition for first year students studying biology, chemistry and biochemistry degrees. This results in students becoming more focused and engaged with their learning.

Biology 81
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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