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Launching Version 13.0 of Wolfram Language + Mathematica—Stephen Wolfram Writings

More than 600 new functions in Version 13 plus loads of updates covering: symbolic integration, mathematical functions, PDE modeling, video creation, image stitching, tree constructs, graph coloring, subgraph isomorphism, spatial fields, leap seconds, maps, geometric regions, chemical formulas & reactions, bio sequences, flight data, multiaxis plots, dates as coordinates, infinite plot scales, visualization types, content detectors, machine learning visualization & diagnostics, controller tracking, Wolfram|Alpha notebooks, quizzes, persistent expressions, Function Repository, paclet creation, context aliases, symbolic webpage construction, NFTs. ....

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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science—Stephen Wolfram Writings

Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science—Stephen Wolfram Writings
stephenwolfram.com - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from stephenwolfram.com Daily Mail and Mail on Sunday newspapers.

Fred Meinberg , Roger Germundsson , Max Piskunov , Christopher Wolfram , Etienne Bernard , Axel Thue , Elise Cawley , Jonathan Gorard , Nik Murzin , Taliesin Beynon , Monte Carlo , Xerxes Arsiwalla , Terry Sejnowski , Hatem Elshatlawy , Alonzo Church , Bob Nachbar , James Boyd , Ernst Zermelo , Arthur Cayley , Network Systems , Wolfram Summer School , Introducing Multicomputation , Fourth General Paradigm , Physics Project , Computational Equivalence , Second Law ,

How Inevitable Is the Concept of Numbers?—Stephen Wolfram Writings


How Inevitable Is the Concept of Numbers?
May 25, 2021
Everyone Has to Have Numbers… Don’t They?
The aliens arrive in a starship. Surely, one might think, to have all that technology they must have the idea of numbers. Or maybe one finds an uncontacted tribe deep in the jungle. Surely they too must have the idea of numbers. To us numbers seem so natural and “obvious” that it’s hard to imagine everyone wouldn’t have them. But if one digs a little deeper, it’s not so clear.
It’s said that there are human languages that have words for “one”, “a pair” and “many”, but no words for specific larger numbers. In our modern technological world that seems unthinkable. But imagine you’re out in the jungle, with your dogs. Each dog has particular characteristics, and most likely a particular name. Why should you ever think about them collectively, as all “just dogs”, amenable to being counted? ....

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