New York's new mayor Zohran Mamdani tells Trump'I have four words for you' in blistering victory speech quoting his socialist hero, bragging about'toppling a dynasty' and promising a'new dawn' Driver screaming'Allahu Akbar' ploughs in to pedestrians'trying to hit everyone he encountered' on French holiday island leaving ten injured This Leftist election landslide was caused by the same vile disease that's triggered a GOP civil war. Why Mamdani's socialist revolution in New York has sparked a civil war for Democrats... and Trump is secretly loving it Simone Biles details all the plastic surgery she's had after her boob job this summer Kim Kardashian's new TV show All's Fair is SAVAGED by critics as it's branded'the worst drama ever', 'existentially terrible' and'a crime against television' while debuting at 0% on Rotten Tomatoes Putin orders increased drone'incursions' in Europe as Russia ramps up'hybrid war' - with Belgium's biggest airport forced to close overnight Inside Kate and William's forever home: Princess is kitting out Forest Lodge in her preferred'classic contemporary style' to create a'lovely but absolutely inoffensive' look REVEALED: Fattest states in America ranked... including region where three-quarters of residents are obese I was so desperate for a baby I stole sperm from my husband's condom: It's the most shocking confession. Now for the first time LIZ JONES tells what happened next... and the consequence no one saw New footage reveals the moments before football manager collapsed and died mid-match, leaving his players in disbelief, as it emerges he'complained about fish he had eaten' hours before Hollywood A-listers may be blacklisted for'antisemitism' under Paramount's new anti-woke leadership Texas teen'tears masterpiece from wall at the Met in unhinged meltdown' before being handed in by his MOTHER Is this how the world will end? Scientists have revealed a grim prospect for humanity's future, as they warn Earth will eventually be consumed by the sun. In roughly five billion years, our star will burn the last of its hydrogen fuel and begin expanding into a monstrous red giant.

New York's new mayor Zohran Mamdani tells Trump'I have four words for you' in blistering victory speech quoting his socialist hero, bragging about'toppling a dynasty' and promising a'new dawn' Driver screaming'Allahu Akbar' ploughs in to pedestrians'trying to hit everyone he encountered' on French holiday island leaving ten injured This Leftist election landslide was caused by the same vile disease that's triggered a GOP civil war. Why Mamdani's socialist revolution in New York has sparked a civil war for Democrats... and Trump is secretly loving it Simone Biles details all the plastic surgery she's had after her boob job this summer Kim Kardashian's new TV show All's Fair is SAVAGED by critics as it's branded'the worst drama ever', 'existentially terrible' and'a crime against television' while debuting at 0% on Rotten Tomatoes Putin orders increased drone'incursions' in Europe as Russia ramps up'hybrid war' - with Belgium's biggest airport forced to close overnight Inside Kate and William's forever home: Princess is kitting out Forest Lodge in her preferred'classic contemporary style' to create a'lovely but absolutely inoffensive' look REVEALED: Fattest states in America ranked... including region where three-quarters of residents are obese I was so desperate for a baby I stole sperm from my husband's condom: It's the most shocking confession. Now for the first time LIZ JONES tells what happened next... and the consequence no one saw New footage reveals the moments before football manager collapsed and died mid-match, leaving his players in disbelief, as it emerges he'complained about fish he had eaten' hours before Hollywood A-listers may be blacklisted for'antisemitism' under Paramount's new anti-woke leadership Texas teen'tears masterpiece from wall at the Met in unhinged meltdown' before being handed in by his MOTHER Bizarre TikTok trend sees Gen Z'rawdogging boredom' to fix their attention spans - so, does it really work? READ MORE: Mark Zuckerberg's'rawdog' routine that made him a billionaire A bizarre new trend has emerged on TikTok, in which Gen Z put themselves in timeout to try to fix their attention spans. Dubbed'rawdogging boredom', users set a timer and simply sit there without any distractions.

New York's new mayor Zohran Mamdani tells Trump'I have four words for you' in blistering victory speech quoting his socialist hero, bragging about'toppling a dynasty' and promising a'new dawn' This Leftist election landslide was caused by the same vile disease that's triggered a GOP civil war. Why Mamdani's socialist revolution in New York has sparked a civil war for Democrats... and Trump is secretly loving it Simone Biles details all the plastic surgery she's had after her boob job this summer Hollywood A-listers may be blacklisted for'antisemitism' under Paramount's new anti-woke leadership Prince Harry issues defiant statement as he denies claims he was trying to upstage William by announcing pseudo-royal Canada trip at same time as his brother's five-day tour of Brazil Inside Kate and William's forever home: Princess is kitting out Forest Lodge in her preferred'classic contemporary style' to create a'lovely but absolutely inoffensive' look REVEALED: Fattest states in America ranked... including region where three-quarters of residents are obese I was so desperate for a baby I stole sperm from my husband's condom: It's the most shocking confession. Now for the first time LIZ JONES tells what happened next... and the consequence no one saw Texas teen'tears masterpiece from wall at the Met in unhinged meltdown' before being handed in by his MOTHER Amazon signals it's finally fed up with Whole Foods' sluggish sales - and is making sweeping, controversial changes READ MORE: Was IKEA right about the kitchen of 2025? The beloved kettle is among the kitchen appliances that will have vanished in 50 years' time thanks to Gen Z, new research suggests. Today's youngsters will fuel the move away from bulky, wired kitchen appliances favoured by older generations, according to experts.

New York's new mayor Zohran Mamdani tells Trump'I have four words for you' in blistering victory speech quoting his socialist hero, bragging about'toppling a dynasty' and promising a'new dawn' This Leftist election landslide was caused by the same vile disease that's triggered a GOP civil war. Why Mamdani's socialist revolution in New York has sparked a civil war for Democrats... and Trump is secretly loving it Simone Biles details all the plastic surgery she's had after her boob job this summer Hollywood A-listers may be blacklisted for'antisemitism' under Paramount's new anti-woke leadership Prince Harry issues defiant statement as he denies claims he was trying to upstage William by announcing pseudo-royal Canada trip at same time as his brother's five-day tour of Brazil Inside Kate and William's forever home: Princess is kitting out Forest Lodge in her preferred'classic contemporary style' to create a'lovely but absolutely inoffensive' look REVEALED: Fattest states in America ranked... including region where three-quarters of residents are obese I was so desperate for a baby I stole sperm from my husband's condom: It's the most shocking confession. Now for the first time LIZ JONES tells what happened next... and the consequence no one saw Texas teen'tears masterpiece from wall at the Met in unhinged meltdown' before being handed in by his MOTHER Amazon signals it's finally fed up with Whole Foods' sluggish sales - and is making sweeping, controversial changes The biggest supermoon of the year will light up skies around the world this evening - and you don't want to miss it. At its peak, our lunar satellite will appear eight per cent larger and 16 per cent brighter than usual. The phenomenon occurs because the moon's orbit is not perfectly circular around Earth, meaning at times it is slightly closer or slightly further away.

New York's new mayor Zohran Mamdani tells Trump'I have four words for you' in blistering victory speech quoting his socialist hero, bragging about'toppling a dynasty' and promising a'new dawn' This Leftist election landslide was caused by the same vile disease that's triggered a GOP civil war. Why Mamdani's socialist revolution in New York has sparked a civil war for Democrats... and Trump is secretly loving it Simone Biles details all the plastic surgery she's had after her boob job this summer Hollywood A-listers may be blacklisted for'antisemitism' under Paramount's new anti-woke leadership Prince Harry issues defiant statement as he denies claims he was trying to upstage William by announcing pseudo-royal Canada trip at same time as his brother's five-day tour of Brazil Inside Kate and William's forever home: Princess is kitting out Forest Lodge in her preferred'classic contemporary style' to create a'lovely but absolutely inoffensive' look REVEALED: Fattest states in America ranked... including region where three-quarters of residents are obese I was so desperate for a baby I stole sperm from my husband's condom: It's the most shocking confession. Now for the first time LIZ JONES tells what happened next... and the consequence no one saw Texas teen'tears masterpiece from wall at the Met in unhinged meltdown' before being handed in by his MOTHER Amazon signals it's finally fed up with Whole Foods' sluggish sales - and is making sweeping, controversial changes Coffee is something biohacker Bryan Johnson swore off years ago in a bid to improve his health. But it appears a new study has caused the 48-year-old, who claims to be more than a decade younger biologically than his actual age, to rethink his stance on caffeine. In a new video, Johnson highlighted findings from Tulane University in Louisiana that showed coffee drinkers had a 16 percent lower risk of death from any cause and a 31 percent lower risk of cardiovascular disease compared to non-coffee drinkers.

Now he's dead, here's the full story of what happened that day... and the ghastly aftermath no one knows about Wake up and see he's the master of the dark arts: MEGYN KELLY blows the lid on the REAL Mamdani... how are they missing this? 'Screaming' Sydney Sweeney'hates' that she was caught hiding in ex-fiancé's car: Now insiders spill truth about backseat rendezvous and lingering'frustrations' Mom is an Oscar winner who has acted with Selena Gomez and Nicole Kidman, who is this nepo kid who came out last year? Bella Thorne continues swimsuit season as she works sexy bikini for Los Cabo trip with her'love' Mark Emms Experts pinpoint typical life expectancy from initial dementia diagnosis - and there's a huge variation between different subtypes Diddy's male prison protector unmasked: How disgraced mogul has repaid him... and turned to God for repentance Teachers threatened over bloody'Problem Solved' T-shirts over claims they mocked murder of Charlie Kirk Astonishing moment Miss Universe winner storms out of this year's event after pageant president reprimands Miss Mexico and tells security to remove her for not showing'respect' Mystery of the'golfer's curse' is SOLVED: Scientists pinpoint why golf balls'lip out' after appearing to enter the hole READ MORE: Golf balls are a'product of colonial exploitation', exhibition says Experts have finally solved the mystery of one of the most infuriating occurrences in golf - the dreaded lip out. The phenomenon occurs when the golf ball appears to enter the hole, only to immediately pop back out again. Scientists have finally pinpointed the physics behind the'curse', which has plagued everyone from amateur hobbyists to PGA professionals. Best of all, they've revealed the best way to avoid it - keeping your score intact.

AI'godmother' Fei-Fei Li says she is'proud to be different' The'godmother' of AI, Professor Fei-Fei Li has told the BBC that being the only woman amongst seven pioneers of artificial Intelligence being presented with a top engineering prize by the King today makes her proud to be different. The King will present the 2025 Queen Elizabeth Prize for Engineering to Prof Li and six others during a ceremony at St James's Palace. Those honoured alongside her are Prof Yoshua Bengio, Dr Bill Dally, Dr Geoffrey Hinton, Prof John Hopfield, Nvidia founder Jensen Huang and Meta's Chief AI Scientist Dr Yann LeCun. They are being recognised for their contributions to the development of modern machine learning, a field that underpins the rapid advancement of AI. Who are the Godparents of AI? Dr Hinton, Prof Bengio and Yann LeCun, currently Chief AI Scientist at Meta have widely been recognised as the Godfathers of AI since they were jointly awarded the 2018 Turing Award.

Artificial Intelligence (AI) is a powerful new language of science as evidenced by recent Nobel Prizes in chemistry and physics that recognized contributions to AI applied to those areas. Yet, this new language lacks semantics, which makes AI's scientific discoveries unsatisfactory at best. With the purpose of uncovering new facts but also improving our understanding of the world, AI-based science requires formalization through a framework capable of translating insight into comprehensible scientific knowledge. In this paper, we argue that logic offers an adequate framework. In particular, we use logic in a neurosymbolic framework to offer a much needed semantics for deep learning, the neural network-based technology of current AI. Deep learning and neurosymbolic AI lack a general set of conditions to ensure that desirable properties are satisfied. Instead, there is a plethora of encoding and knowledge extraction approaches designed for particular cases. To rectify this, we introduced a framework for semantic encoding, making explicit the mapping between neural networks and logic, and characterizing the common ingredients of the various existing approaches. In this paper, we describe succinctly and exemplify how logical semantics and neural networks are linked through this framework, we review some of the most prominent approaches and techniques developed for neural encoding and knowledge extraction, provide a formal definition of our framework, and discuss some of the difficulties of identifying a semantic encoding in practice in light of analogous problems in the philosophy of mind.

AMANDA PLATELL: Fergie's delusions have reached a new low. I can't believe Beatrice and Eugenie are egging her on. Wake up and see he's the master of the dark arts: MEGYN KELLY blows the lid on the REAL Mamdani... how are they missing this? 'Screaming' Sydney Sweeney'hates' that she was caught hiding in ex-fiancé's car: Now insiders spill truth about backseat rendezvous and lingering'frustrations' Karoline Leavitt warns'short of planes falling out of the sky' Democrats won't reopen government Donald Trump's adopted hometown is set to name its airport after the president Now he's dead, here's the full story of what happened that day... and the ghastly aftermath no one knows about Bella Thorne continues swimsuit season as she works sexy bikini for Los Cabo trip with her'love' Mark Emms Why Tuesday's races aren't as close as you think: White House analyst CRAIG KESHISHIAN reveals what the polls always miss She took my son... now I'm exposing the secrets she's hidden from the world Big Short star Michael Burry's $1BILLION bet against tech giants shakes markets: 'We've seen this movie before' The murder that haunts the Kennedys: Martha Moxley's loved ones reveal their truth in the FREE The Crime Desk newsletter... as accused cousin cleared in killing breaks cover Boy George's vile attack on lesbian banned by LA gym for confronting'transgender patron who stared at her while she was naked in locker room' Diddy's male prison protector unmasked: How disgraced mogul has repaid him... and turned to God for repentance US spy jet spotted patrolling cartel stronghold off Mexico's coast for hours The US Navy's P-8 Poseidon, an aircraft designed for anti-submarine warfare, surveillance, and reconnaissance, was spotted circling a drug-smuggling hub off Mexico's coast. On Tuesday, flight trackers recorded the jet performing multiple loops miles offshore from Tijuana, a city long plagued by violent organized crime and considered a major corridor for cartel operations. The P-8 took off from the Naval Air Station Whidbey Island in Washington, flew through Oregon and through California .

Daughter of man infamously shot by Dick Cheney gives VERY sarcastic tribute to the Daily Mail after former VP died aged 84... and reveals what really happened Why Tuesday's races aren't as close as you think: White House analyst CRAIG KESHISHIAN reveals what the polls always miss Dick Cheney dead: Vice President who served with George W. Bush and took leading role in'war on terror' dies at 84 It's the trendy new diagnosis for everything from fatigue to brain fog... but here's the truth about your gut problem - and how to fix it: DR EMILY LEEMING How Charles reacted when'difficult' William asked if he could do fewer engagements: Biographer ROBERT JOBSON reveals the'tension', secrets of Kate's family life - and how couple are making Prince George'strong' Sydney Sweeney sparks outrage after starring on GQ's Men Of The Year cover... as she breaks silence on American Eagle ad Rapper Young Bleed dead at 51 after suffering brain aneurysm as son reflects on'legend' father'She used it to freshen up... it killed her': My wife died of cancer at 63. She never smoked or drank. My ex is the international fugitive Democrat who's fled to Europe with our nine-year-old son. Here are the disgraceful secrets she'd hate the world to know Woke Gen-Z's revenge: Poll reveals staggering number of under-30s who back Mamdani while their parents are terrified of a return to 1980s New York Erika Kirk reveals her 3-year-old daughter's heartbreaking question in first interview since husband Charlie's assassination Father reveals'radical faith' spiral of American son killed in hail of arrows by reclusive tribe as new believers consider following him to isolated island Revealed: Football manager who died mid-match, leaving players in disbelief on the pitch, 'complained about fish he had eaten' hours before heart attack - as devastated star speaks out Dallas Cowboys agree huge trade for rival's defensive captain just hours before the NFL deadline US to test nuclear missile TODAY to show'readiness' amid arms race fears Warren Buffett's $6billion stock exit is his loudest warning yet AMANDA PLATELL: Fergie's delusions have reached a new low. I can't believe Beatrice and Eugenie are egging her on.