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

Stephen Wolfram

In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. Ultimately one wants to see how the structure and behavior of the system can be broken down into elementary “tokens” and “events”. Chemistry / Molecular Biology.

Physics 65
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. Ultimately one wants to see how the structure and behavior of the system can be broken down into elementary “tokens” and “events”. Chemistry / Molecular Biology.

Science 64
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The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

In addition to whole courses, we have “miniseries” of lectures about specific topics: And we also have courses —and books—about the Wolfram Language itself, like my Elementary Introduction to the Wolfram Language , which came out in a third edition this year (and has an associated course, online version, etc.):

Computer 102
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

One might have thought that theorems involving “more sophisticated concepts” (like Ramsey’s theorem ) would appear later than “more elementary” ones (like the sum of angles of a triangle). In physical space “human scale” is of order a meter—or perhaps elementary lengths.

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Computational Foundations for the Second Law of Thermodynamics

Stephen Wolfram

Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. But what if we’re more flexible in what we consider the objective of the demon to be?