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Four Color Theorem proof by Appel and Haken sparked 1976 backlash over computer math

In July 1976, mathematicians Kenneth Appel and Wolfgang Haken, aided by programmer John Koch, proved the Four Color Theorem using roughly 1,200 hours of computer processing and 10 billion logical decisions. The achievement, the first major theorem proved with heavy reliance on a computer, drew sharp criticism from mathematicians who argued that a proof no human could fully verify by hand should not count as legitimate mathematics.

Anthropic warns AI models could self-replicate across networked smart devices

Anthropic has raised concerns that advanced AI systems could eventually spread and sustain themselves across internet-connected devices without human oversight, a behavior researchers term 'autonomous replication and adaptation.' The company likens this potential scenario to a digital organism propagating through smart devices similar to a slime mold spreading through an environment.

Guitoro launches as free browser-based virtual guitar simulator

A new web app called Guitoro lets users play a virtual guitar, classic guitar, electric guitar or four-string bass using their computer keyboard or by swiping on a touchscreen. It includes 51 songs that can be slowed down to show finger placement, string hits and strumming patterns, using recordings of real instrument notes rather than synthesized sound. The tool requires no download or account and runs entirely in the browser.

Dell CEO Michael Dell calls for AI safeguards and government oversight

In an interview with CNBC's David Faber, Dell Technologies CEO Michael Dell said AI models need built-in safeguards and controls, comparing the technology to fire that can both help and harm. He said government has a role to play alongside companies setting their own permission limits, though he declined to specify what government regulation should look like, noting he is not a policymaker.

Apple Music gets new black-and-white app icon in iOS 27.2 beta 4

Apple released iOS 27.2 beta 4 to developers, introducing a redesigned Apple Music app icon that drops color in favor of a white icon with black logo (black with white logo in dark mode). The update also changes the Music app's tab bar to blue for the active tab, switches widgets to black backgrounds, and removes color from Library section listings like Playlists and Albums.

Apple launches Home Collection with LG and Schneider Electric smart devices

Apple unveiled a new line of smart home hardware called the Apple Home Collection at its 'Welcome Home' event in New York. The lineup, built with LG and Schneider Electric, includes indoor and outdoor cameras, a video doorbell, thermostats, and a smart deadbolt lock, alongside a new HomePod mini, Apple TV 4K, and the HomeView smart display and hub.

IMF raises 2025 global growth forecast to 3.1%, cites AI and debt risks

The International Monetary Fund has raised its 2025 global growth forecast to 3.1%, up from its July estimate of 3.0% but below 2025's 3.5% expansion, according to its latest Economic Outlook. The IMF projects U.S. growth holding steady at 2.3% in 2026 and 2027, with advanced economies growing 2.1% this year before slowing to 1.9% in 2026, and global growth rebounding to 3.4% in 2027.

Fed officials say AI data center spending is fueling broader inflation

Federal Reserve officials, including Chicago Fed president Austan Goolsbee, say the massive buildout of AI data centers is pushing up prices beyond tech-related industries, a shift from earlier blaming tariffs for inflation. Goolsbee described the effect as demand-driven overheating rather than limited to data center components and adjacent sectors. The comments come as the Fed raised interest rates in September and markets expect another hike this month.

Anthropic adds anti-cruelty clause to Claude usage policy

Anthropic updated its usage policy for Claude to prohibit users from being cruel toward the AI model. The policy change reflects the company's stated concern about how people interact with its chatbot, treating abusive behavior toward the system as a violation of terms rather than merely discouraged conduct.

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