Fact-Checking Trump’s Speech at the United Nations

President Trump’s remarks about oil reserves, the drug trade and his peace efforts contained falsehoods and exaggerations.People arriving for the United Nations General Assembly in New York on Tuesday.

L Linda Qiu

U.N. Searches for Its Next Leader

António Guterres is stepping down in December after two terms as secretary general. No front-runner to succeed him has emerged so far.António Guterres, 77, is stepping down at year’s end after two terms as the U.N. secretary general.

F Farnaz Fassihi

Trump Officials Eject 750,000 From Obamacare Markets, Claiming Fraud

Vice President JD Vance said the measure would save the government $2.2 billion.Vice President JD Vance at the White House earlier this month. “We’re actually making sure that the people receiving Obamacare subsidies are actually entitled to receive them,” he said on Tuesday.

M Margot Sanger-Katz, Sarah Kliff and Christopher Rowland

Veterans Package Stalls After House’s Swift Departure

A veterans benefits bill that Republicans had hoped to pass ahead of the midterm elections is falling apart amid a battle over its cost.A Memorial Day observance at Arlington National Cemetery in 2024. A sweeping veterans benefits bill is mired in a funding dispute in Congress that has left its fate

O Olivia Diaz

Republicans in Tight Senate Races Call for End to Iran War

Representative Ashley Hinson of Iowa and Mike Rogers of Michigan distanced themselves from President Trump amid concern that high diesel prices could hurt the party in November.The national average for a gallon of regular gasoline is $4.47, up 20 cents from last week, according to AAA Gas Prices.

J John Yoon

F.B.I. Shut Down Inquiry Into Top Ally of Senator Susan Collins

The inquiry was closed last year because senior bureau officials questioned the veracity of a campaign donor’s account, according to current and former officials.Kash Patel, the F.B.I. director, fired many agents in a public corruption unit at the Washington field office that had handled the Kao inv

G Glenn Thrush, Alan Feuer and Devlin Barrett

Trump and Xi to Discuss A.I. Risks and Competition at US-China Summit

Artificial intelligence is on the agenda when leaders from the United States and China meet this week. But with little consensus on a path forward, expectations are limited.President Trump and China’s leader, Xi Jinping, in South Korea, last year. Mr. Trump has relaxed restrictions on providing A.I.

A Ana Swanson

How Paramount Won Warner Bros.

Inside the settlement talks between the media mogul David Ellison and the coalition of states seeking to block his $111 billion deal.David Ellison had acquired Paramount and its iconic movie studio last year.

D David McCabe, Benjamin Mullin and Shawn Hubler

How Unions Are Confronting A.I. Threats in the Workplace

The machinists union shows how workers are negotiating for a say in the ways artificial intelligence is used in their workplaces.Tim Suitter, president of the union that represents ship builders at Bath Iron Works, knows workers must be prepared for the arrival of artificial intelligence.

R Rebecca Davis O’Brien

Anthropic Releases a New A.I. Model, Opus 5.5, Amid Safety Debate

The company released a cheaper, faster model that it said was the strongest performer on its most rigorous internal safety tests to date.Anthropic’s new artificial intelligence model, Opus 5.5, was the first release since the company’s chief executive called for the industry to slow down.

E Emmy Martin

Mathematics Isn’t Just a Game to Let A.I. Solve. History Shows Why.

In our field of applied mathematics, the long, human process of trial and error — not just the solutions themselves — is often what has led to progress.An early computer. After World War II, computers became the tool with which math and engineering moved forward in tandem. Will they now be math’s un

S Steven Strogatz and Alex Townsend

Tech-Utopian Movement Praxis Says It Has Found a Home in Uruguay

After a sprawling world tour, Praxis, a New York-based, crypto-backed “digital nation,” has signed a deal to build a physical city in Uruguay.Construction of apartment buildings as part of the +Colonia city development in Colonia del Sacramento, Uruguay. Praxis said it plans to build its community w

E Emma Bubola and Sarah Pabst