More from Stephen Wolfram Writings
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 […]
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 […]
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 […]
The Computational View of Time Time is a central feature of human experience. But what actually is it? In traditional scientific accounts it’s often represented as some kind of coordinate much like space (though a coordinate that for some reason is always systematically increasing for us). But while this may be a useful mathematical description, […]
More in science
While I've been absolutely buried under deadlines, it's been a crazy week for US science, and things are unlikely to calm down anytime soon. As I've written before, I largely try to keep my political views off here, since that's not what people want to read from me, and I want to keep the focus on the amazing physics of materials and nanoscale systems. (Come on, this is just cool - using light to dynamically change the chirality of crystals? That's really nifty.) Still, it's hard to be silent, even just limiting the discussion to science-related issues. Changes of presidential administrations always carry a certain amount of perturbation, as the heads of many federal agencies are executive branch appointees who serve at the pleasure of the president. That said, the past week was exceptional for multiple reasons, including pulling the US out of the WHO as everyone frets about H5N1 bird flu; a highly disruptive freeze of activity within HHS (lots of negative consequences even if it wraps up quickly); and immediate purging of various agency websites of any programs or language related to DEI, with threatened punishment for employees who don't report their colleagues for insufficient reporting of any continued DEI-related activities. Treating other people with respect, trying to make science (and engineering) welcoming to all, and trying to engage and educate the widest possible population in expanding human knowledge should not be controversial positions. Saying that we should try to broaden the technical workforce, or that medical trials should involve women and multiple races should not be controversial positions. What I wrote eight years ago is still true. It is easier to break things than to build things. Rash steps very often have lingering unintended consequences. Panic is not helpful. Doomscrolling is not helpful. Getting through challenging times requires determination, focus, and commitment to not losing one's principles. Ok, enough out of me. Next week (deadlines permitting) I'll be back with some science, because that's what I do.
The library sorting problem is used across computer science for organizing far more than just books. A new solution is less than a page-width away from the theoretical ideal. The post New Book-Sorting Algorithm Almost Reaches Perfection first appeared on Quanta Magazine
Final article in the series
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics. The post The Jagged, Monstrous Function That Broke Calculus first appeared on Quanta Magazine