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Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Let’s Not Be So Quick to Give Up on Algebra.

Algebra 76
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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Economics. And this seems likely to be related to the origin of “value” in economics (or perhaps more so to the notion of a numéraire). Much like in physics, a reference frame can allow coordinates to be assigned.

Physics 65
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Economics. And this seems likely to be related to the origin of “value” in economics (or perhaps more so to the notion of a numéraire). Much like in physics, a reference frame can allow coordinates to be assigned.

Science 64
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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). Then McCarthy started to explain ways a computer could do algebra. It was all algebra. Richard Feynman and I would get into very fierce arguments. And he says “There’s a problem.

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The Concept of the Ruliad

Stephen Wolfram

The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 122