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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? Graphical Key.

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Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Berry & Larson, 2019; Levitt, 2019).

Algebra 76
educators

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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 88
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Boost Literacy with STEAM

PCS Edventures

While sciences and mathematics may take center stage, literacy skills have always been waiting in the wings, ready to make their debut. Both Discover Digital Video LAB and Traveling Artist kits are flexible for in-person or distance learning. Learners see the challenges characters face time and again as they work to achieve a goal.

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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. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have. Yes, there can be a lot of flexibility in this model. There’s a curious historical resonance to all this.

Science 122
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The New World of LLM Functions: Integrating LLM Technology into the Wolfram Language

Stephen Wolfram

And for example doing a very simple piece of machine learning , we again get a symbolic object which can be used as a function and applied to an argument to get a result: And so it is with LLMFunction. By giving a second argument to LLMFunction you can say you want actual, structured computable output. are symbolic objects.

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Plant polymers as plastic alternatives

Futurum

With these lessons learnt, the team is now setting up a company which will have the resources and flexibility to work with other companies on short timescales. I love mathematics, problem solving and logical thinking. My proudest career achievement is the 10 Million Trees project I undertook with Parisa.

Biology 84