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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. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.

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POTU Evolution Part 1: From California to Rio Americano

The Blog of Phyz

We plan to launch our Physics of the Universe (POTU) course in 2021-22. Physics of the Universe is the physics portion of the three-course model for Next Generation Science Standards (NGSS) implementation. California is where I live and work; Rio Americano High School is where I've taught physics since 1986.

Physics 98
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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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Observer Theory

Stephen Wolfram

But what we’ve discovered particularly dramatically in our Physics Project is that the nature of us as observers is critical even in determining the most fundamental laws we attribute to the universe. But the notion of observers—and observer theory—isn’t limited purely to “physical observers”.

Physics 120
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Can AI Solve Science?

Stephen Wolfram

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. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Imagine we’re studying some physical process. So why does this work?

Science 122
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What can stars reveal about galaxies and what can cultures reveal about stars?

Futurum

LIGHT-YEAR – the distance travelled by light in one year (equal to ~9,000,000,000,000 km). I liked all kinds of science when I was at school – biology, chemistry, physics. I was used to solving maths, physics, and chemistry problems, but they were invariably problems that someone had set and, therefore, knew the answer to.

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The Concept of the Ruliad

Stephen Wolfram

It’s yet another surprising construct that’s arisen from our Physics Project. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. And here is a rulial multiway system made from hypergraph rewriting of the kind used in our Physics Project , using all rules with signature : &#10005.

Physics 122