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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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Grades 7-10: Register by Mar. 5 for MIT SPARK (Mar. 16-17)

Newton STEM

The registration lottery is open now through 11:59PM on March 5 , and until that deadline all course preferences will be treated equally in the lottery. After that, any remaining seats will be open first-come/first-served. Students may choose from about 100 courses and must register on their own. Digging Deeper: 4.65

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Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT

Stephen Wolfram

But while ChatGPT is a remarkable achievement in automating the doing of major human-like things, not everything that’s useful to do is quite so “human like”. Put another way, it’d take “fixing” an almost infinite number of “bugs” to patch up what even an almost-infinitesimal corner of Wolfram|Alpha can achieve in its structured way.

Computer 145
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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
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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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Why Choose a STEM Career?

CTE Learning

stands for Science, Technology, Engineering, and Mathematics. On the other hand, physical and biological sciences, mathematics, science technology, and agricultural sciences pay around $50,400 on average. With STEM, customary gender roles are broken, and it gives way to equality in every possible way. The acronym “S.T.E.M.”

STEM 52
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Why Choose a STEM Career?

CTE Learning

” stands for Science, Technology, Engineering, and Mathematics. Mathematics is typically in every activity or occupation we do in life. On the other hand, physical and biological sciences, mathematics, science technology, and agricultural sciences pay around $50,400 on average. So what exactly is a STEM based career?

STEM 52