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Channel: Stephen Wolfram Writings
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In Memory of My Wife, Elise Cawley (1961–2026), with Thanks for 36 Wonderful...

Something terrible just happened. My wife, Elise Cawley, was recovering from heart surgery and had just attended virtually a celebration for one of our children when she had a freak, vast...

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Towards a Theory of Bugs: The Ruliology of the Unexpected

“My Program Did the Wrong Thing!” Bugs are a ubiquitous phenomenon in the software world. And—essentially by definition—each one of them is somehow unique and unexpected. But—particularly given their...

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Launching Version 15 of Wolfram Language & Mathematica: Built-in (Useful) AI...

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Games between Programs: The Ruliology of Competition

The Basic Setup Whether one’s dealing with biology, economics, politics or a host of other fields, it’s common to encounter situations that can be modeled as involving two agents that repeatedly...

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Making Wolfram Tech Available as a Foundation Tool for LLM Systems

Foundation Models Need a Foundation Tool LLMs don’t—and can’t—do everything. What they do is very impressive—and useful. It’s broad. And in many ways it’s human-like. But it’s not precise. And in the...

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What Ultimately Is There? Metaphysics and the Ruliad

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P vs. NP and the Difficulty of Computation: A Ruliological Approach

Empirical Theoretical Computer Science “Could there be a faster program for that?” It’s a fundamental type of question in theoretical computer science. But except in special cases, such a question has...

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What Is Ruliology?

Ruliology is taking off! And more and more people are talking about it. But what is ruliology? Since I invented the term, I decided I should write something to explain it. But then I realized: I...

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Instant Supercompute: Launching Wolfram Compute Services

To immediately enable Wolfram Compute Services in Version 14.3 Wolfram Desktop systems, run RemoteBatchSubmissionEnvironment["WolframBatch"]. (The functionality is automatically available in the...

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What’s Special about Life? Bulk Orchestration and the Rulial Ensemble in...

Towards a Theory of Bulk Orchestration It’s a key feature of living systems, perhaps even in some ways the key feature: that even right down to a molecular scale, things are orchestrated. Molecules...

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The Ruliology of Lambdas

Click any diagram to get Wolfram Language code to reproduce it. What Are Lambdas? It’s a story of pure, abstract computation. In fact, historically, one of the very first. But even though it’s...

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“I Have a Theory Too”: The Challenge and Opportunity of Avocational Science

Theories of the World Several often arrive in a single day. Sometimes they’re marked “urgent”. Sometimes they’re long. Sometimes they’re short. Sometimes they’re humble. Sometimes they’re...

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New Features Everywhere: Launching Version 14.3 of Wolfram Language &...

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What If We Had Bigger Brains? Imagining Minds beyond Ours

Cats Don’t Talk We humans have perhaps 100 billion neurons in our brains. But what if we had many more? Or what if the AIs we built effectively had many more? What kinds of things might then become...

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What Can We Learn about Engineering and Innovation from Half a Century of the...

Metaengineering and Laws of Innovation Things are invented. Things are discovered. And somehow there’s an arc of progress that’s formed. But are there what amount to “laws of innovation” that govern...

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Towards a Computational Formalization for Foundations of Medicine

A Theory of Medicine? As it’s practiced today, medicine is almost always about particulars: “this has gone wrong; this is how to fix it”. But might it also be possible to talk about medicine in a more...

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Launching Version 14.2 of Wolfram Language & Mathematica: Big Data Meets...

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Who Can Understand the Proof? A Window on Formalized Mathematics

Related writings: “Logic, Explainability and the Future of Understanding” (2018) » “The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics” (2022) »...

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Useful to the Point of Being Revolutionary: Introducing Wolfram Notebook...

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Foundations of Biological Evolution: More Results & More Surprises

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