PETER HITCHENS: Cheshire police once boasted how it caught Lucy Letby - but now its chief has quit, with no mention of the controversial case. This is why I think it's all starting to crumble at the force...
What is going on in Cheshire's police force. This bold body once made a boastful film about how they caught Lucy Letby. Now they have suddenly got rid of their Chief Constable, two years early.
Berries and nuts may reverse life-threatening damage caused by heart failure
Research shows that consuming these foods causes the body to produce a natural compound called urolithin A, which has been linked to anti-ageing.
British pupils could learn why Red Riding Hood is Freudian and how to stage school walkouts under controversial EU scheme
The lesson plans are part of the Erasmus+ student exchange scheme, which is due to cost the UK £570million in its first year.
Stop whacking Judy, Mr Punch - it's 2026: Puppeteers back in demand after removing violence from performances
The clue is in the name... Punch and Judy - a knockabout puppet show in which the couple argue and hit each other with sticks to the delight of watching children.
Andrew Mountbatten-Windsor to feature in drama on scandals and cover-ups, his lawyers are warned
Titled The Janitor, it stars Peaky Blinders actor Harry Kirton as a publicist who cleans up the elite's scandals.
Moment jealous killer stalks estranged wife from 'bar to bar' before murdering her outside her home
Raymond Williams, 61, slashed the throat of Tania Williams with a craft knife after seeing her with another man during a night out in Norwich on January 17, 2026.
Violin star Nicola Benedetti reveals Italian father's fear over her 25-year age gap with trumpeter husband
Ms Benedetti, now 39, married multi Grammy Award-winning American trumpeter and composer Wynton Marsalis, now 64, in 2021. They have a two-year-old daughter Elise - his fifth child.
Trump finally TURNS on 'low IQ' Tucker Carlson in blistering takedown after former ally met with ex-MAGA congress members to plot serious threat to the President's legacy
President Donald Trump has turned against his once-ally, Tucker Carlson, calling the former Fox personality a 'loser' with a 'very low IQ.'
'The Maldives? A soggy caravan site on stilts': MARK PALMER gives withering verdict on experiences everyone raves about
There's nothing wrong with heightened expectation. But it's so easy to be let down when the experience doesn't match the hype
How Queen Elizabeth II and the horse whisperer teamed up to rescue trauma-hit soldiers
When Monty Roberts died three weeks ago aged 91, he left a lasting legacy not only at the Royal stables - where he was a regular visitor for 35 years - but in horsemanship around the world.
TALK OF THE TOWN: Sacre Bleu! How Hermès caused a stink at The Hurlingham
Private members' club The Hurlingham has infuriated its loyal members by closing 'for the first time in its history' so that French luxury fashion brand Hermès could use it.
As the elections watchdog is urged to investigate illegal 'family voting'... It saddens me to say it, but the only way we can safeguard our precious democracy is to have police officers at every polling station: MATT GOODWIN
When I was campaigning in the run-up to the Gorton and Denton by-election in February, it became blatantly obvious to me that dark and sinister forces were at work.
Sienna Miller's sister Savannah, 47, welcomes her fourth child as she shares sweet snap of baby boy after 'complicated' fertility journey
Sienna Miller's sister Savannah, 47, welcomed her fourth child as she shared a sweet snap of her baby boy after a 'complicated' fertility journey.
How Will AI Change the Field of Mathematics?
"AI went from being very terrible to seemingly genuinely quite good at a professional level in a very short space of time..." says the Verge's AI reporter.
But AI systems "are still truly, truly terrible at some areas of math... even the days of the week."
If you look at academic math papers, a lot of the time you won't see numbers... So they're still terrible, but they're now also very good at this other part. As to why, at some point you reach a critical mass of what these systems can do. We saw it with writing, we've seen it with programming. They're very good at forging connections between different areas, applying old methods in new ways, those kinds of things. It appears that the newer models they're training have apparently reached that level where it clicks, and now it can do math...
There are areas now where it seems to be producing work that is on par with good mathematicians, alongside other parts where yeah, it can't count. All caught up in that is whether it's going to rewrite employment structures or funding structures... One would hope [math researchers] would branch out into all of these new exciting areas or pose new questions. But AI won't do that, and that's the concern. And then that would leave the field quite sterile, and it will have all of these things that have been done, and maybe nothing left to pursue... [A] lot are scared that it's closing off the field. So by definition, those breakthroughs that lead to something surprising and new that you can say, "Oh, this works here," may not be happening anymore...
There were some bleak responses from graduate students I saw in essays posted online. Where's their place in this as future researchers? Do they have a place in this? Is it as glorified AI proof checkers? That will be quite an unsatisfying career, I imagine. Or maybe not, I don't know. We will see. I think anything used properly will be a net boon.
They also had an interesting response when asked if AI democratizes access to high-level mathematical proofs:
A lot of the mathematicians I spoke to were almost quite weary of this, actually. They love the idea, in theory, of democratizing access. They're also quite fed up with AI-generated or -assisted papers that are flooding every publication imaginable, as well as the pre-print servers that they use in these fields. Some of those I spoke to said things like, "Oh, I got three emails this week alone with people being like, 'Hey, is this legit?'" Because they thought they'd solved something with ChatGPT or with Claude, and they also don't have the mathematical skills to check whether they've actually solved something.
On the flip side, there are parts where they said, "Well, we've got a talented undergrad who's done something that a talented undergrad would probably have never managed, and here they are doing grad-level work and they've produced a paper that is legit." And in the bigger scheme of things, a few I spoke to said, "Well yeah, a lot of these are in the ivory tower. Having access to this kind of thing globally could really boost access to the kind of things here." On the flip side, the cost. These things cost a lot to run.
Read more of this story at Slashdot.
Three-year-old boy left fighting for his life after 'plunging from first-floor window'
Emergency services scrambled to the scene after the youngster plunged to the ground from a property in Spotland Tops, Rochdale, on Saturday afternoon.
Jimmy Carr 'in talks with BBC bosses to host Top Gear reboot' four years after it was shelved following Freddie Flintoff's horrifying crash
The comedian, 53, is reportedly in talks with BBC bosses to front a reboot of Top Gear.
Man, 27, dies days after being punched in 'unprovoked attack' while cycling: Two men and woman are arrested
George Glover died on August 20 following the attack in Leicester which left him with life-threatening injuries three days earlier.
Molly-Mae Hague 'waited to put her engagement ring back on after reconciling with Tommy Fury as she wanted to see if he'd really changed following their shock split'
Molly-Mae Hague reportedly waited to put her engagement ring back on after reconciling with fiancé Tommy Fury as she wanted to see if he'd really changed following their shock split.
Ridley Scott, 88, shares rare insight into his family life by detailing how he kept 'absolute communication' with his children during their childhood despite his packed filming schedule
Ridley Scott has shared a rare insight into his family life as he told how he kept 'absolute communication' with is children during their childhood despite is very busy schedule.
Mastermind contestant is lauded by fans for having the 'most niche specialism ever' after speeding through questions on Transport for London moquettes
Policy researcher Emily Medhurst competed on Friday's episode, and rather than go for a classic topic such as books or TV, she opted to answer questions on Transport for London moquettes.