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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?

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7 Popular Science Museums

Educators Technology

Science museums from all around the world capture and document this knowledge allowing anyone interested in learning about science, to access this wealth of knowledge and learn about major achievements and milestones that got us where we are today. The Museum of Natural Sciences contains several galleries and sections.

Science 328
educators

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Indoor STEM Activities for Kids

STEM Sport

As winter begins, keeping kids both physically and mentally active becomes a challenging task for parents and educators. Focusing on STEM (science, technology, engineering, and mathematics) activities can be an excellent strategy to keep students engaged in winter.

STEM 52
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On the frontline of the biomedical revolution

Futurum

There’s a lot of exciting science out there, but for it to be useful for society, it needs to be translated into accessible technology that can be commercialised,” says Jin. I loved building things, such as with LEGO, and enjoyed mathematics – I was always quite good at it. “I The other potential limitation is people.

Biology 98
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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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How Inevitable Is the Concept of Numbers?

Stephen Wolfram

The history of physics might make one think that numbers would be a necessary part of the structure of any fundamental theory of our physical universe. But the models of physics suggested by our Physics Project have no intrinsic reference to numbers. And some places where we can expect the concept of numbers to be useful.

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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. And so when it came to complexity, it was natural to try to do the same thing. From mathematics. Mathematical physics. The Emergence of a New Kind of Science. Synergetics.