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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

And later we’ll talk about how the “density of activity” in the branchial graph is the analog of energy in physics, and how it can be seen as “deflecting” the path of geodesics, just as gravity does in spacetime. So how about logic, or, more specifically Boolean algebra ? We’ve looked at axioms for group theory and for Boolean algebra.

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

Stephen Wolfram

In physics, energy (and mass) act as a “source of gravity”. But in our models of physics, energy has a rather simple (and generic) interpretation : it is effectively just the “density of activity” in the multicomputational system—or the number of events in a certain “region of space”. What about phenomena like gravity? There are many.

Physics 64
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

In physics, energy (and mass) act as a “source of gravity”. But in our models of physics, energy has a rather simple (and generic) interpretation : it is effectively just the “density of activity” in the multicomputational system—or the number of events in a certain “region of space”. What about phenomena like gravity? There are many.

Science 64
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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 121
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Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

But at a personal and social level it was still always a lot of fun being around Ed and being exposed to his unique intense opportunistic energy—with its repeating themes but ever-changing directions. 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).