Stephen Wolfram

AUGUST 29, 2024

I had begun my career in the 1970s as a teenager studying the frontiers of existing physics. And at first I couldn’t see how computational rules could connect to what is known in physics. But I didn’t stop thinking “one day I need to get back to my physics project”. But now with the Physics Project I was doing this.

Physics 111

Physics Computer Biology Mathematics 111

Stephen Wolfram

JUNE 28, 2023

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”

Computer 119

Computer Construction Calculus Mathematics 119

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.

Computer 96

Computer Calculus Construction Accessibility 96

Stephen Wolfram

FEBRUARY 3, 2023

The Second Law of thermodynamics is considered one of the great general principles of physical science. Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. But our Physics Project has changed that picture. Why does the Second Law work?

Computer 90

Computer Energy Physics Construction 90

Stephen Wolfram

SEPTEMBER 27, 2024

Beginning about five years ago—particularly energized by our Physics Project —I started looking at harvesting seeds I’d sown in A New Kind of Science and before. Our modern Wolfram Language tools—as well as ideas from our Physics Project—provided some new directions to explore. But I still thought I pretty much knew what we’d find.

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Computer Mathematics Argumentation Science 107

Stephen Wolfram

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Despite this, however, fundamental physics always seemed to resist its advance. The Path to a New Paradigm.

Science 60

Science Sciences Physics Mathematics 60

Stephen Wolfram

AUGUST 22, 2023

Indeed, so confident was he of his programming prowess that he became convinced that he should in effect be able to write a program for the universe—and make all of physics into a programming problem. 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).

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

JUNE 29, 2022

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. If we define a month “physically”, it corresponds to a certain fractional number of days: &#10005.

Calculus 113

Calculus Construction Computer Argumentation 113

Stephen Wolfram

DECEMBER 14, 2022

An instantaneous moment (or perhaps a single elementary time from our Physics Project )? In physics textbooks, it’s traditional to carefully distinguish absolute temperatures, measured in kelvins, from temperature scales, like degrees Celsius or Fahrenheit. Calculus & Its Generalizations. A month (whatever that means)?

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Computer Astronomy Construction Algebra 75