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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. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.

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Behind the screens: the crystals that flow like rain down a windowpane

Futurum

AKHSHAY’S PHYSICAL EXPERIMENTS. This not only helps scientists understand what is going on behind the scenes, and why, but also helps to enable the physics to be applied in technology in the future. He starts by considering some basic principles of physics – that the momentum and energy of a system are always conserved.

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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. But by the mid-1600s the idea was emerging that there could be more explicit and mechanical explanations for phenomena in the natural world.

Energy 88
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On the frontline of the biomedical revolution

Futurum

It is likely you can answer yes to both questions because biomedical science is booming – and for good reason. Diagnostics, imaging, materials science – people now realise how important it is.” Into the light Jin specialises in using photonics – the science of light – within biomedicine. “We

Biology 98
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Exploring the Nature with Children: How to Become Their Mentor

Science and Steamteam

If you have read our other posts, Our Walkabout Experience in the Blue Mountains: The Benefits of Nature , Encouraging a Sense of Wonder is Important , or some of our other posts, you know that we believe in spending time among nature. ” Ask questions that nudge children to big ideas like the local flow of energy and matter.

Science 98
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Imaging the invisible: how can research software and imaging techniques help scientists study the things we can’t see?

Futurum

From miniscule sub-atomic particles to gargantuan black holes, the world of science deals with a dramatic range of sizes. Research computing is a sub-discipline of computer science. Funder : Engineering and Physical Sciences Research Council (EPSRC). Synchrotron — a type of particle accelerator. billion lightyears.

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How do bacteria help and harm crops?

Futurum

Soybean is a high-energy, high-protein crop that is indispensable as animal feed. I also enjoy meeting my laboratory members every morning to discuss our research projects and science in general.” In my free time, I like reading and watching videos about physics, astronomy and philosophy. Jong’s top tips 1.