Argumentation Biology Calculus Mathematics 
Robert Talbert, Ph.D.
FEBRUARY 10, 2023
In the original article, I gave a list of what computing skills mathematics majors should learn and when they should learn them. If anything, over the past seven years, my feelings about the centrality of computing in the mathematics major have gotten even more entrenched. Instead, bring it in and teach students how to use it well.
Stephen Wolfram
MARCH 7, 2022
1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.
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Stephen Wolfram
JANUARY 31, 2023
But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.
Stephen Wolfram
JANUARY 9, 2024
So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.
Stephen Wolfram
JUNE 29, 2022
You can give Threaded as an argument to any listable function, not just Plus and Times : ✕. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. Now we can use the path function to make a “spiralling” tour video: College Calculus. In Version 13.1
Stephen Wolfram
NOVEMBER 10, 2021
And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). Experiencing the Ruliad.
Stephen Wolfram
SEPTEMBER 9, 2021
Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.
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