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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. It left an impression.

Math 362
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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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Guide Review: Best Math Manipulatives in 2023

STEM Education Shopping

Math manipulatives are hands-on tools that allow children to visualize and engage with mathematical concepts. They provide a tangible way for children to explore and understand abstract mathematical ideas. By physically manipulating the cubes, children can develop a better understanding of numbers and their relationships.

Math 52
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Mastering Math with Saxon Math 2 Manipulatives and Make It Fun

STEM Education Shopping

These hands-on tools are designed to help your child understand and master mathematical concepts in a fun and interactive way. These tools also allow your child to practice addition, subtraction, and even basic algebra concepts in a way that is both engaging and effective. Look no further than Saxon Math 2 manipulatives!

Math 52
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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 to Master Math Wooden Manipulatives Get Your High Score

STEM Education Shopping

By physically manipulating these blocks, you can practice counting, addition, and subtraction. Each block represents a specific number, allowing you to visually understand mathematical operations. By placing them side by side, you can physically see that when you combine 2 and 3, you get 5.

Math 52