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

Stephen Wolfram

Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. One new construct added in Version 13.1 —and And now there’s a way to specify that, using Threaded : In a sense, Threaded is part of a new wave of symbolic constructs that have “ambient effects” on lists.

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

Stephen Wolfram

When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.

educators

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Can AI Solve Science?

Stephen Wolfram

A lot of science—and technology—has been constructed specifically around computationally reducible phenomena. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Once again, I had no idea this was “out there”, and certainly I would never have been able to construct it myself.

Science 122
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The heart of the loop: Reattempts without penalty

Robert Talbert, Ph.D.

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!) A misplaced trust in statistics.

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

Stephen Wolfram

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Physics 65
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. It’s not difficult to construct multiway system models. There are multiway Turing machines.

Science 64
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Launching Version 12.3 of Wolfram Language & Mathematica

Stephen Wolfram

has a very flexible way of representing its results, that allows for different numbers of variables, different numbers of solutions, etc. &#10005. Having this as a single function makes it easier to use in functional programming constructs like this: &#10005. Here’s a first example of a new convenience function: SolveValues.