Free Republic

OpenAI says its AI model solved a famous 80-year-old maths problem that puzzled experts for decades, marking a major breakthrough in AI-powered research and reasoning.The artificial intelligence boom is real. Sectors like healthcare, IT, education and many others are rapidly moving towards AI adoption. Now mathematicians have also acknowledged how AI is proving its mettle. OpenAI announced on Wednesday that one of its reasoning models has solved a famous maths problem that humans could not solve in 80 years. Notably, the maths problem, known as the ‘planet unit distance’, was initially proposed in 1946 by legendary mathematician Paul Erdős. Since...

As scientists study Earth's oceans, they come across some intriguing mysteries. Among them are some of the strangest deep-sea discoveries, including a "golden orb" measuring about 4 inches in diameter in the Gulf of Alaska in 2023. Referred to as a "yellow hat" by one of the videographers at the time, researchers were stumped about what it could be; coral, an egg casing, or a dead sponge attachment were some of the initial guesses. Since then, they've been able to determine that it's dead cell remains from a huge deep-sea anemone. The golden specimen was found about 2 miles beneath...

“Progress! Did you ever reflect that that word is almost a new one?” asked an enraptured Woodrow Wilson in 1913. “No words come more often or more naturally to the lips of modern man, as if the thing it stands for were almost synonymous with life itself, and yet men through many thousand years never talked or thought of progress.” Instead, Wilson claims, they thought only of the past as a golden era, a time in which morality and technology were superior. “Now all that has altered,” Wilson believes. “We think of the future, not the past, as the more...

If you believe the governor of California, the state is laying track that it hasn’t bought yet. ================================================================== It was an induced hallucination, happily shared by a crowd of professional journalists, and a useful reminder of Gavin Newsom’s tendency to swagger like a winner on the lightest of pretexts. Back in February, the California governor spoke to the media in a crowded railyard, posing in front of a long line of freight cars and the piles of construction materials they had just delivered while he bragged about the extraordinary new progress the state was making toward a functioning high-speed rail...

Colleges are cutting tuition for MBA programs. But it’s not out of charity or because they got another taxpayer-funded subsidy to “fix” exploding higher education prices. Rather, and perhaps counterintuitively, it’s because Uncle Sam finally capped the previously unlimited federal loans for graduate students. At first blush, this sounds like it would make the problem worse. Fewer borrowing options for students seems like it would shift more of the cost of attendance to today, when students are young with relatively low incomes. But that assumes—unrealistically—that the cost of education is fixed, and that colleges don’t respond to changes in the...

Planet Fitness canceled a woman’s membership — apparently forging her signature to do so — and called the police after the woman expressed discomfort that a large male was using female shower facilities. That “transgender”-identifying male is reportedly Christopher Beaulieu, who is a serial criminal and registered sex offender.The established facts, based on Judy Walcott's testimony, are that Planet Fitness staff not only canceled her membership but later called police on her, claiming trespass after she requested a refund for her unused month of membership. The mentally ill man whose use of female facilities reportedly triggered the incident is tentatively...

Eight killed and 38 trapped following an explosion at a coal mine in northern China... attacking Ukrainian drone starting a fire...oil depot...southern Russia... Three men named as sexual abusers by former Jeffrey Epstein assistant Sarah Kellen... British police appealing for witnesses...possible sexual misconduct by Andrew Mountbatten Windsor... federal judge in Tennessee throwing out...charges leveled against Kilmar Abrego Garcia... New rules announced for foreigners seeking 'green cards'... 40,000 residents ordered to evacuate in Garden Grove, California... Trump holding Iran War discussions...report this evening claiming the President... A Qatari delegation...apparently left Tehran...Iranian Civil Aviation Authority with a notice closing... Ukraine War a...

The warning signs have been there for decades. Back in 1983, American author Barbara Ehrenreich wrote a powerful book — The Hearts of Men: American Dreams and the Flight from Commitment — arguing that a male revolt was underway. Since the 1950s, she suggested, men had begun rebelling against the breadwinner ethic, inspired by Playboy culture, the counterculture and a desire for personal freedom. They were rejecting the cultural ideology that had shamed them into tying the knot and becoming a good provider, lest they be seen as immature, irresponsible and less than a real man.Ehrenreich understood that marriage was...

Mahmoud Khalil's 15 minutes on the national stage are almost over. Way back in January, a panel of judges from the 3rd Circuit Court of Appeals ruled 2-1 that Khalil could be arrested and deported.In a split opinion, two of the three judges on the appeals court, Thomas Hardiman and Stephanos Bibas, found that the New Jersey district judge who oversaw Mr. Khalil’s petition for release was not the proper authority to have ruled on it. The matter should have initially been addressed by an immigration court, the majority said.But a third circuit judge, Arianna J. Freeman, disagreed, saying that...

Join with fellow FREEPERS to pray for AMERICA: For those in Authority in Government, Family, Military, Business, Agri-Business; End to Sex Slavery; Healthcare, Education, Churches, and the Media.Forum threads labeled [Prayer] are closed to debate of any kind.

We’ve seen plenty of violent anti-ICE action against the agency in Trump’s second term in office, but this episode goes right at or near the top of the “This Is Nuts" list.It happened in Chicago on Oct. 4, 2025, during an enforcement mission targeting criminal illegal aliens — "Operation Midway Blitz” — on the city's Southwest Side.That’s when Diego Emmanuel Reyes, 21, decided not to throw rocks, not to chant obscenities, but to intentionally ram his SUV into an agent’s vehicle. Newly released video shows that after striking the truck, the driver appears to accelerate, not slow down. Talk about...

Mexican Coke tastes different than American Coke; after all, it’s sweetened using cane sugar instead of high-fructose corn syrup. That, at least, was the conventional wisdom until 2011, when a paper published in the journal Obesity found that Mexican Coke contained no cane sugar. Instead, the authors found plenty of glucose and fructose, which are the main ingredients in high-fructose corn syrup.

Rep. Steve Cohen (D-TN) has introduced articles of impeachment against Supreme Court Chief Justice John Roberts, alleging “high crimes and misdemeanors by violating the Constitution, disregarding his statutory obligations as Chief Justice, and breaching his oaths of office.” “I am saddened that the United States Supreme Court, once the most admired federal institution, has now become a political actor. While Chief Justice Roberts may claim otherwise, it has become clear that the Court now routinely favors partisanship, the rich over the poor, and the powerful over the vulnerable. This is a shift that undermines the Constitution of the United States,...

I got 9/10 - Newsroom-worthy That’s editor-level mastery. You clearly keep up with what's going on in the world. Or subscribe to all our newsletters. Either way — well done. That's the same as your average from previous quizzes. ============================================================= I didn't know the one about the 'RAP' star for some reason...........🙄

Kathy Griffin shared a glimpse into her health with an update while recovering from a medical procedure.Kathy Griffin is on the mend. The comedian gave a "TMI" update on her life, sharing that she was hospitalized after undergoing a medical procedure. "I spent the night in the hospital because I had complications from my colonoscopy," Kathy shared in her May 21 Instagram post. "I know, I know, very sexy but I am home now with the doggies where I belong." Alongside the screenshot from her Notes app, the 65-year-old also shared a selfie in good spirits. She captioned the...

Mexican Coca-Cola sold in the USA is touted to contain only cane sugar as a sweetener, but independent lab tests tell a completely different story............... We've been played!............. 3:22 VIDEO at link................

Rep. Thomas Kean Jr., R-N.J., has now confirmed an illness has kept him from voting on Capitol Hill since March 5 and says he plays to return to Washington, D.C., soon. However, neither he nor others have disclosed the details of his condition. In an interview with the New Jersey Globe, Kean said that in the next couple of weeks he will return to voting in the House and hit the campaign trail. “My doctors are confident that I’m on the road to a full recovery,” he also told the newspaper. Kean said the illness doesn't impact his cognitive health,...

PHOENIX (KPHO/Gray News) - A woman in Arizona is accused of killing a man who tried to end a date early after realizing he had been “catfished,” police said. Mikela Antresa Bahe, 30, is facing multiple charges, including second-degree murder, in the death of 52-year-old Norris L. Taft. Police said Taft was found seriously injured in the parking lot of an apartment complex just after 4 p.m. Sunday, May 3, and later died at a hospital. Investigators said surveillance video showed a woman getting into a dark-colored SUV as Taft walked in front of it, apparently trying to get the...

California Sen. Adam Schiff (D) is one of the most insidious Democrats in Congress, and that’s saying a lot these days. He reminds me of former FBI Director James Comey, since they both ooze fake sincerity and piousness even though their hands are dirtier than a kid’s in a mud puddle. When news broke Friday that Director of National Intelligence Tulsi Gabbard was stepping away from her post because her husband had been diagnosed with a rare and serious form of bone cancer, decent people immediately felt for her and prayed for her husband’s recovery. “Decent” isn’t an adjective used...

Somewhere, Ron DeSantis has got to be sitting back, booted feet propped on his desk, laughing and smoking a cigar at what has been playing out in Florida's 20th Congressional District. As RedState readers will recall, at the governor's urging, the Sunshine State redrew its congressional map in late April just as the Supreme Court's ruling in Louisiana v. Callais was being handed down. Republicans hold 20 of Florida's 28 congressional seats. The new map, if it survives the current court challenges, could potentially net them another four seats in the upcoming midterm elections. One of the districts impacted was...