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The Role of Mathematics in Education

Ask a Tech Teacher

Or perhaps, amidst a particularly challenging calculus problem, you’ve questioned how this abstract world of numbers and symbols could possibly influence your future career? College and Mathematics: Challenges The Complexity Cliff Remember the first time you looked at a calculus problem in college? Well, you’re not alone.

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How to Think Computationally about AI, the Universe and Everything

Stephen Wolfram

It’s a new paradigm—that actually seems to unlock things not only in fundamental physics, but also in the foundations of mathematics and computer science , and possibly in areas like biology and economics too. You know, I talked about building up the universe by repeatedly applying a computational rule. But what about AIs?

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Can machine learning cope with the erratic and uncertain nature of the real world?

Futurum

However, in the last decade, the capabilities of artificial intelligence have been expanding at break-neck speed. ALGORITHM – a sequence of well-defined rules that allows computers to make calculations and solve problems. ALGORITHM – a sequence of well-defined rules that allows computers to make calculations and solve problems.

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

Stephen Wolfram

For that was a time when the concepts of computing were first being worked out—and through approaches like cybernetics and the nascent area of artificial intelligence, people started exploring the broader scientific implications of computational ideas. It’s important, by the way, to distinguish this from computer science.

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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. As we mentioned above, one can always think of a neural net as computing a mathematical function—that depends on its inputs, and its weights.

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Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). “Lick” Licklider —who persuaded Ed to join BBN to “teach them about computers”. Ed was assigned to an airbase in Arizona , and by the summer of 1955 he had qualified as a fighter pilot.