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OpenAI has published a post describing its latest progress on artificial intelligence in mathematics, outlining how its models are improving at solving advanced mathematical problems. The update has drawn significant attention among the tech community, with readers debating what the results mean for research, problem-solving, and the broader race to build more capable AI systems.

Mathematician Terence Tao argues that the next era of mathematics, which he calls “Math 2.0”, should measure progress more holistically than traditional metrics allow. His remarks, shared on Mathstodon, have drawn strong engagement, with hundreds of mathematicians and enthusiasts debating how tools like AI-assisted proof and collaborative online work should change what counts as genuine mathematical achievement.

Italian Prime Minister Giorgia Meloni said Vladimir Putin is deliberately provoking Europe because he needs to divert attention from the progress of the war in Ukraine. Her remarks have drawn wide attention as European leaders debate how to respond to Russian provocations while the conflict continues.

Posts on social media are claiming that 'war' has broken out in Italy, demanding to know where the military is and calling on Prime Minister Giorgia Meloni to intervene. No independent details about the location, nature or scale of the alleged violence are available, and the claim has not been confirmed by official sources.

The UN Security Council is holding a live session focused on Libya, which officials describe as making 'encouraging progress'. The meeting comes as the country continues efforts toward political stability and elections. Further details of the discussion, including which officials spoke and what decisions may follow, have not yet been reported.

New analysis from Data for Progress finds that Americans' social activity has fallen sharply over the past three decades, with people spending markedly less time engaging in face-to-face gatherings and community life. The findings have prompted discussion about possible drivers, including technology use, changing work patterns and the lingering effects of the pandemic, and what the decline means for social trust and public health.

The Lyon County Planning and Appeals Board in Kansas has made progress on adjustments to its solar energy regulations, according to local reporting from KVOE. The board is working through rule changes governing solar developments in the county, though details of the specific provisions and remaining steps were not provided.

OpenAI says it has made progress in preventing AI-driven delusions in ChatGPT, addressing cases where the chatbot affirms false or harmful beliefs expressed by users. The Wall Street Journal reported the development, which touches on growing concerns about how AI assistants can reinforce users' mistaken or conspiratorial thinking. Details of the company's methods and results were not included in the available coverage.

A musician shared an FTW session praising century-old harmonic progressions, arguing that aside from Instagram, little has truly changed in music since then. The post adds that Instagram will eventually fade away while these progressions will endure. The remark reflects a common sentiment among players that foundational harmony remains timeless compared to newer platforms and trends.

Los Angeles County District Attorney Nathan Hochman says MacArthur Park will show 'amazing progress' by the time the 2028 Olympic Games arrive. The pledge, reported by LAist, ties improvements at the long-troubled park to the city's preparations for hosting the Games. Details on what specific measures he plans were not given.

An independent game developer has publicly apologised to supporters for going quiet, saying progress on their puzzle game project has been very scarce recently. In a message shared on Mastodon, they say they have started to get things back together and that development should soon pick up pace again. The update appears tied to Wishlist Wednesday, a regular ritual where indie developers promote their upcoming games on Steam.

A progressive Democrat has introduced a bill to eliminate the Department of Homeland Security, arguing reforms should go beyond ICE. The move came a day after a Homeland Security Investigations raid on the home of Representative Ilhan Omar, intensifying criticism of federal immigration enforcement. Supporters say the department has grown into an unaccountable agency, while opponents view the proposal as extreme.

A United States biotechnology company says its efforts to bring back the dodo are moving ahead. The flightless bird, known for its large hooked beak, was driven to extinction in the 17th century. The claim has reignited debate over whether de-extinction science is feasible and how such efforts should be prioritised.

A new argument holds that the outgoing Congress could make real progress on preventing fraud during the lame-duck session before the next Congress takes office. The piece suggests that despite the shortened calendar, lawmakers have a genuine opportunity to advance anti-fraud measures rather than wait for the new session. Discussion centers on whether legislators will use the window to act on oversight and consumer protection.

Peñarol rescued a stoppage-time equaliser against Progreso at the Estadio Centenario in Uruguay's AUF league, avoiding a costly defeat as they fight for the top of the Clausura and the Tabla Anual under coach Diego Aguirre. Coverage focuses on the dramatic late goal and squad news, with Abel Hernández close to returning and updates on injuries and Leo Fernández's situation.

Manhattan's district attorney has outlined the office's strategy for combating retail theft and pointed to progress in addressing the problem. The remarks come as retail crime remains a persistent concern for New York City merchants, and the DA's comments are being covered by local business press with interest in how enforcement is affecting store theft.

The Council of the EU says work is moving forward steadily on the 'One Europe, One Market' roadmap, an initiative aimed at deepening the EU's single market. Beyond the announcement of continued progress, no further details on specific measures, timelines or outcomes were provided, leaving the practical impact of the roadmap unclear for now.

A Masonic funeral is described as an event as significant as a Freemason's progression through the Craft Degrees, marking the end of his earthly journey. The rite is commemorated with a special ritual and the laying of roses across the coffin. The practice highlights the fraternity's ceremonial traditions surrounding death and remembrance.

An artist is working on a new watercolor piece titled "Was heißt hier, Sie fühlen sich beobachtet?" — roughly "What do you mean, you feel watched?" — depicting seagulls and marine life. The work is still in progress, created as a personal project rather than a commission, and will later be offered for sale in the artist's shop once finished.

A Carson City church is making progress on plans to build a new school, the Nevada Appeal reports. The project marks a step forward for the congregation's education ambitions in Nevada's capital, though details on timeline, funding and enrollment have not been released. Local residents are following the development as it moves through planning.

A developer has shared an early look at a work-in-progress content management system written in Rust. The tool is intended to be fully open source and flexible enough to build websites, blogs, personal note collections, or share recipes. The developer says the project is also a way of getting familiar with how the Rust language works. The preview has drawn modest attention from software enthusiasts.

The PKK has carried out what is described as a small step toward disarmament, but the process of ending terrorism in Türkiye remains incomplete. Commentators note that while the gesture signals movement in ongoing efforts, a fully terror-free Türkiye has not yet been achieved, and the process is still very much in progress.

A fitness guide is circulating advice on tracking workout progress beyond the bathroom scale. It highlights methods such as recording strength gains, monitoring endurance over time, taking body measurements, and noting how everyday activities feel. The piece encourages people to use multiple indicators rather than a single number to see whether their training routines are actually working.

An opinion piece in the Ventura County Star argues that local officials should not undo existing measures protecting wildlife in Ventura County, California. The writer contends that progress made on habitat and species safeguards is worth preserving and warns against policy changes that would weaken those protections.

The Port of San Diego is reviewing its progress on a landmark plan aimed at curbing pollution in the region. The review examines how far the port has come in meeting the plan's environmental targets, though details of the findings have not yet been made public.

The UN Security Council is holding a live session on Syria's ongoing transition, focusing on the country's severe economic strain, continued Israeli incursions into Syrian territory, and steps towards holding elections. The meeting highlights growing international concern over stability in Syria and the pace of its political transition following the fall of the previous government.

A new review examines how economists explain why some countries are far richer than others, summarising two decades of research on cross-country income differences. It covers progress on the roles of productivity, institutions, human capital and technology in shaping national living standards, and assesses which explanations have held up. Economists are expected to debate how much of the gap between rich and poor nations remains unaccounted for.