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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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How can we make STEM subjects more engaging for students?

Futurum

This usually means a university student who is in training to become a teacher Self-learning — an approach to learning where students teach themselves by following instructions and figuring out answers on their own STEM — subjects related to science, technology, engineering and mathematics When did you last make something in school?

STEM 81
educators

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On the frontline of the biomedical revolution

Futurum

I loved building things, such as with LEGO, and enjoyed mathematics – I was always quite good at it. “I Though we work long and sometimes unsociable hours, we have a good degree of flexibility. “I I think I’ve achieved a lot. I started my career as an experimental scientist.

Biology 98
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How we read: the neuroscience behind literacy

Futurum

In goal-based training, individuals set their own goals associated with reading and we design activities to help them achieve them.” There is a lot of ‘tradition’ with regards to ideas and approaches, which I feel can sometimes impede our ability to move science forward efficiently.

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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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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines. It’s just something that’s mathematically simple, and we’re used to the fact that lots of data we measure turns out to be well fit by mathematically simple things.

Computer 145