The Hidden Workings of Machine LearningWhy does machine learning work at all? Neural networks power everything from image recognition to language models, yet the science behind their success remains strangely elusive. In this essay, Stephen Wolfram strips machine learning down to its barest forms—minimal models built from simple rules—and shows that even at this level, systems can learn. What emerges is a surprising picture: machine learning doesn't rely on careful...

Nobody expected this—not even its creators: ChatGPT has burst onto the scene as an AI capable of writing at a convincingly human level. But how does it really work? What's going on inside its "AI mind"? In this short book, prominent scientist and computation pioneer Stephen Wolfram provides a readable and engaging explanation that draws on his decades-long unique experience at the frontiers of science and technology. Find out how the success of ChatGPT brings together the latest neural net...

Through his pioneering work in science, technology and language design, Stephen Wolfram has developed his own signature way of thinking about an impressive range of subjects. In this lively book of essays, Wolfram takes the reader along on some of his most surprising and engaging intellectual adventures.From science consulting for a Hollywood movie, solving problems of AI ethics, hunting for the source of an unusual polyhedron, communicating with extraterrestrials, to finding the f...

This book of thoroughly engaging essays from one of today's most prodigious innovators provides a uniquely personal perspective on the lives and achievements of a selection of intriguing figures from the history of science and technology. Weaving together his immersive interest in people and history with insights gathered from his own experiences, Stephen Wolfram gives an ennobling look at some of the individuals whose ideas and creations have helped shape our world today.From his ...

In a world where jobs are continually being outsourced to machines and algorithms, the question of how best to educate the next generation becomes more important with every year. Stephen Wolfram, author of A New Kind of Science and Idea Makers and creator of Wolfram|Alpha, says the answer is computational thinking. Wolfram defines computational thinking as "formulating things with enough clarity that one can tell a computer how to do them." Computational thinking provides...

Stephen Wolfram is the creator of Mathematica and Wolfram|Alpha and the author of A New Kind of Science and An Elementary Introduction to the Wolfram Language. In this short ebook, Dr. Wolfram dives into his theories of computation and the universe.Take a look at this short excerpt from the ebook Computation and the Future of the Human Condition:“In traditional engineering, one starts with some purpose in mind, then explicitly tries t...

What is time, really—and why does it seem to flow?In this short essay, Stephen Wolfram explores time not as a coordinate or backdrop but as something generated by the ongoing computation of the universe itself. Drawing on ideas from his Physics Project, he explains how the passage of time—our experience of one moment giving way to the next—arises from the limits of what observers like us can compute. We can't see the future all at once; we have to compute it step b...

A Metamodel for Foundations of MedicineWhat would a general theory of medicine look like? Stephen Wolfram proposes one grounded in computation. By evolving simple programs as model organisms, he shows how perturbations can stand in for disease and how counter-perturbations can mimic treatment, with genetic diversity reflected in variant rules. The results mirror core challenges of medical science: the wide range of outcomes, the difficulty of prognosis and the unev...

Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can m...

Wolfram discusses the history of computation from its earliest beginnings to current applications and the emergence of computable knowledge. Notable figures include: Pythagoras, Archimedes, Isaac Newton, Galileo, Gottfried Leibniz, Carl Linnaeus, John von Neumann, and many others.

Students and research workers in mathematics, physics, engineering and other sciences will find this compilation invaluable. All the information included is practical, rarely used results are excluded. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Learn key formulas and tables Study quickly and more effect...

The instant New York Times bestseller about humanity's place in the universe—and how we understand it.“Vivid...impressive....Splendidly informative.”—The New York Times“Succeeds spectacularly.”—Science“A tour de force.”—SalonAlready internationally acclaimed for his elegant, lucid writing on the most challenging notions in modern physics, Sean Carroll is emerging as one of t...