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How to Think Computationally about AI, the Universe and Everything

Stephen Wolfram

Mathematics. And in our century there’s a new and yet more powerful one: computation. And for nearly 50 years I’ve had the great privilege of building an ever taller tower of science and technology based on that idea of computation. And, yes, it’s computational. These are all ways to formalize the world.

Computer 134
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How is mathematics applied to real world problems?

Futurum

How is mathematics applied to real world problems? Published: Mathematics is essential to our way of life. Professor Anotida Madzvamuse , an applied mathematician at the University of Sussex , in the UK, and the University of British Columbia , in Canada, led the UK-Africa Postgraduate Advanced Study Institute in Mathematical Sciences.

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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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The Math Revolution You Haven’t Heard About

ED Surge

Over the summer, the professor from the University of California at Santa Cruz, spent a week at Harvard to learn how to redesign the mathematics for life sciences courses his institution offers. But there’s also a quieter revolution taking place that applies a different strategy to achieve the same principles.

Math 356
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Could computer programs match the abilities of our brains?

Futurum

Could computer programs match the abilities of our brains? Recreating its behaviour using computer programs is no easy task, but it can be done – by using artificial intelligence hardware that mimics the deeply complex networks of neuron cells in our brains. Published: July 14, 2022. Download the article. Link to the activity sheet.

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Computational Foundations for the Second Law of Thermodynamics

Stephen Wolfram

Computational Foundations for the Second Law of Thermodynamics 2. But back in the 1980s, as I began to explore the computational universe of simple programs, I discovered a fundamental phenomenon that was immediately reminiscent of the Second Law. The key is to think in computational terms. How Did We Get Here?

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Can AI Solve Science?

Stephen Wolfram

At a very practical level, for example, LLMs provide a new kind of linguistic interface to the computational capabilities that we’ve spent so long building in the Wolfram Language. Three centuries ago science was transformed by the idea of representing the world using mathematics. So how does AI stack up?

Science 122