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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. 2017; Stein et al.,

Algebra 76
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Empowering Educators: Online Workshops for Aspiring STEM Teachers – Comprehensive Guide

STEM Education Shopping

Online workshops for aspiring STEM teachers ( 1 ) offer accessible platforms to enhance teaching skills and engage with modern methodologies. Firstly, one major benefit is the flexibility they provide. Unlike traditional workshops, online workshops allow you to access materials and participate in activities at your own convenience.

STEM 52
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ChatGPT Gets Its “Wolfram Superpowers”!

Stephen Wolfram

And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. There’s a big example of this historically, in mathematics. But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences.

Computer 145
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Why Should You Consider STEM Programs for High School Students?

STEM Education Guide

Nearly all facets of life depend on science, technology, engineering, and mathematics. As an acronym for science, technology, engineering, and mathematics, stem education is essential as it permeates every aspect of your life. Lastly, they must be able to access virtual educational resources for research opportunities.

STEM 52
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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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Launching Version 13.1 of Wolfram Language & Mathematica ??????

Stephen Wolfram

Now “characters” could be 16-bit constructs, with nearly 65536 possible “glyphs” allocated across different languages and uses (including some mathematical symbols that we introduced). Needless to say, you can do this computationally—though the “calculus” of what’s been defined so far in Unicode is fairly bizarre: &#10005.

Calculus 114