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Yet Another Ruliological Surprise Integers. Addition. Subtraction. Maybe multiplication. Surely that’s not enough to be able to generate any serious complexity. In the early 1980s I had made the very surprising discovery that very simple programs based on cellular automata could generate great complexity. But how widespread was this phenomenon? At the beginning of the […]
5 months ago

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More from Stephen Wolfram Writings

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 general, more abstract way—and perhaps to create a framework in which one can study its essential features without […]

a month ago 21 votes
Launching Version 14.2 of Wolfram Language & Mathematica: Big Data Meets Computation & AI

The Drumbeat of Releases Continues… Notebook Assistant Chat inside Any Notebook Bring Us Your Gigabytes! Introducing Tabular Manipulating Data in Tabular Getting Data into Tabular Cleaning Data for Tabular The Structure of Tabular Tabular Everywhere Algebra with Symbolic Arrays Language Tune-Ups Brightening Our Colors; Spiffing Up for 2025 LLM Streamlining & Streaming Streamlining Parallel Computation: […]

a month ago 36 votes
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) » “Computational Knowledge and the Future of Pure Mathematics” (2014) » The Simplest Axiom for Logic Theorem (Wolfram with Mathematica, 2000): The single axiom ((a•b)•c)•(a•((a•c)•a))c is a complete axiom system for Boolean algebra (and […]

2 months ago 75 votes
Useful to the Point of Being Revolutionary: Introducing Wolfram Notebook Assistant

Note: As of today, copies of Wolfram Version 14.1 are being auto-updated to allow subscription access to the capabilities described here. [For additional installation information see here.] Just Say What You Want! Turning Words into Computation Nearly a year and a half ago—just a few months after ChatGPT burst on the scene—we introduced the first […]

3 months ago 86 votes
Foundations of Biological Evolution: More Results & More Surprises

This is a follow-on to Why Does Biological Evolution Work? A Minimal Model for Biological Evolution and Other Adaptive Processes [May 3, 2024]. Even More from an Extremely Simple Model A few months ago I introduced an extremely simple “adaptive cellular automaton” model that seems to do remarkably well at capturing the essence of what’s […]

3 months ago 71 votes

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Robotaxis Are Here

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9 hours ago 1 votes
Flipping the switch on far-UVC

We’ve known about far-UVC’s promise for a decade. Why isn't it everywhere?

2 days ago 4 votes
Why Do Researchers Care About Small Language Models?

Larger models can pull off greater feats, but the accessibility and efficiency of smaller models make them attractive tools. The post Why Do Researchers Care About Small Language Models? first appeared on Quanta Magazine

2 days ago 2 votes
Stem Cells for Parkinson’s Disease

For my entire career as a neurologist, spanning three decades, I have been hearing about various kinds of stem cell therapy for Parkinson’s Disease (PD). Now a Phase I clinical trial is under way studying the latest stem cell technology, autologous induced pluripotent stem cells, for this purpose. This history of cell therapy for PD […] The post Stem Cells for Parkinson’s Disease first appeared on NeuroLogica Blog.

2 days ago 2 votes
‘Next-Level’ Chaos Traces the True Limit of Predictability

In math and computer science, researchers have long understood that some questions are fundamentally unanswerable. Now physicists are exploring how even ordinary physical systems put hard limits on what we can predict, even in principle. The post ‘Next-Level’ Chaos Traces the True Limit of Predictability first appeared on Quanta Magazine

5 days ago 3 votes