Mark and Pete

Successful Minds

What on earth is going on? Mark & Pete have a few thoughts. A weekly British podcast about news, politics, culture, faith and the peculiar things people do. Mark and Pete tackle the big headlines and the smaller stories that probably tell us rather more about ourselves than we’d like. Theme music : Title Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 4.0 https://creativecommons.org/licenses/by/4.0/

  1. 1d ago

    OpenAI Cracks 90-Year-Old Maths Problem

    OpenAI may have cracked one of the most famous unsolved problems in mathematics. In this episode of Mark & Pete, we look at the extraordinary claim that an OpenAI research system has solved a 90-year-old problem connected to the Navier–Stokes equations, the equations used to describe how fluids move. That means water, air, blood flow, turbulence, weather systems, aircraft, oceans and quite a lot of the physical world around us. The Navier–Stokes equations themselves are not new. Mathematicians and engineers have used them for generations. The problem was something much deeper: nobody knew whether, in three dimensions, a perfectly smooth fluid flow could eventually develop a singularity, effectively a mathematical blow-up where velocity becomes unbounded in finite time. That question became one of the Clay Mathematics Institute’s famous Millennium Prize Problems, with a $1 million prize attached. OpenAI now says its system has produced a proof showing that such a finite-time singularity can occur under permitted smooth forcing. And this is where the story gets really interesting. This was not simply ChatGPT being asked a clever maths question and producing a dazzling answer in thirty seconds. OpenAI reportedly used a huge coordinated system involving thousands of AI agents, all exploring different mathematical routes, checking ideas, discarding failures and sharing useful results. In effect, it was like putting thousands of mathematicians into one vast virtual research department and allowing them to work continuously, at speed, for days. The result was then translated into Lean, a formal proof-checking system designed to verify mathematical logic step by step. So has AI finally become better than human mathematicians? Not quite. Human researchers had already developed much of the underlying mathematical framework. The striking thing is that AI may now be able to push through enormous numbers of possibilities, combine ideas from existing research and test routes that no human team could practically explore at the same scale. That is perhaps the real breakthrough. We ask what exactly has been cracked, why Navier–Stokes matters, whether this really counts as a historic mathematical discovery, and what it says about the future of artificial intelligence in science. And there is a deeper question too. If mathematics describes an ordered universe, are we inventing mathematical truth or discovering something that was already there? Our Bible verse is Proverbs 25:2: “It is the glory of God to conceal things, but the glory of kings is to search things out.” OpenAI may have found something remarkable. But the order was there first.

    OpenAI Cracks 90-Year-Old Maths Problem
  2. 3d ago

    Do we need a Kill Switch, or just kill AI?

    The people building AI say it could destroy humanity, which is an unusually frank product review. In this episode of Mark and Pete, we ask: Do We Need a Kill Switch, or Just Kill AI? As artificial intelligence becomes more powerful, the argument about AI safety is getting rather harder to dismiss. Sam Altman and other industry leaders have raised serious concerns about where the technology could take us. Donald Trump wants America to win the AI race. British parliamentarians want stronger controls. Meanwhile, the rest of us are trying to work out whether the thing helping us write an email should really be allowed to run anything more consequential. It is a fair question. AI could bring enormous benefits: better medical research, useful discoveries, less tedious work. We use it ourselves. So this is slightly awkward, admittedly. Being pleased that a machine has saved you three hours does not settle the question of who should control it, or what happens when something goes badly wrong. And that is where the kill switch comes in. Could somebody outside an AI company actually shut down a dangerous system? Who would have the authority? Would switching off its servers stop everything, including the background tasks and any copies running elsewhere? There is a considerable difference between closing a chat window and knowing that the machinery behind it has stopped. The little cross in the corner is doing quite a lot of reassuring work. We look at independent oversight, emergency shutdown systems, restrictions on autonomous AI and the problem of relying on voluntary promises when vast amounts of money are involved. Companies have expertise we need. They also have investors. Neither fact conveniently cancels the other. There is another complication, of course. If democratic countries slow down while their rivals carry on, have we made the world safer? Or merely handed powerful technology to people whose complaints department is less accommodating? Our Christian perspective begins with the difference between intelligence and wisdom. Scripture recognises the value of prudence: “The prudent sees danger and hides himself, but the simple go on and suffer for it” (Proverbs 27:12). Taking precautions need not mean abandoning invention or living in permanent dread. It means accepting responsibility. So, will AI kill us all? Nobody can honestly give you that prediction as an established fact. But uncertainty is hardly a reason to wave everything through and hope the clever people have remembered the off button. Join Mark and Pete for a thoughtful, occasionally uncomfortable discussion about artificial intelligence, AI regulation, human responsibility and who gets the final say. Preferably while we still do.

    Do we need a Kill Switch, or just kill AI?
  3. 5d ago

    Warren Buffett: Sixty Years of Getting Rich Slowly

    Warren Buffett spent sixty years proving that patience pays, which is awkward news for everyone selling a six-week millionaire course. In this episode of Mark and Pete, we celebrate Warren Buffett’s investment philosophy, his business ethos and the unfashionable possibility that building something worthwhile might take a while. Quite a while, actually. You may need to sit down. As Buffett steps back from leading Berkshire Hathaway, we look at what made the “Oracle of Omaha” so extraordinary. There are the investment returns, obviously. Those rather startling numbers. But behind them sits an approach to business that sounds almost disappointingly sensible: understand what you own, pay a reasonable price, choose people you trust and give good decisions time to work. Then, apparently, resist the temptation to fiddle with everything. We explore Buffett’s relationship with Benjamin Graham, the influential value investor and author of The Intelligent Investor. Graham taught him to look beyond the share price and examine the underlying business, with a margin of safety for when things go wrong. Because they do. Even when somebody has produced a very reassuring spreadsheet. Charlie Munger helped Buffett develop that approach further, recognising the advantages of buying excellent businesses at sensible prices. Something can be cheap for an excellent reason, as anyone who has bought a suspiciously affordable second-hand car will understand. There is plenty here about long-term investing, compound growth and Berkshire Hathaway’s success. The Coca-Cola investment gives us a particularly striking example of what can happen when a business keeps earning and an investor keeps waiting. Though waiting, we should say, involves rather more judgement than simply forgetting your password. We also discuss Buffett’s famously simple working habits and limited enthusiasm for email. He was never entirely without technology, but he does offer an interesting challenge to the idea that being constantly connected means being useful. Some of us have answered seventeen messages before breakfast and achieved absolutely nothing. Efficiently. For Mark and Pete, long-term thinking has long been something of a motto. Buffett gives us a chance to ask what that means beyond investing: in work, relationships, family life and the things we hope to leave behind. Our Christian perspective comes through Proverbs 13:11: “Wealth gained hastily will dwindle, but whoever gathers little by little will increase it.” Patience, honesty, stewardship and generosity matter. They remain worth practising even if your portfolio is mostly a pension statement you are avoiding opening. Join us for a warm, occasionally wandering conversation about Warren Buffett, Benjamin Graham, value investing and the business principles behind an extraordinary career. Getting rich slowly may lack excitement. There are worse difficulties to have.

    Warren Buffett: Sixty Years of Getting Rich Slowly
  4. Sep 17

    Is Jaguar Landrover Running Out of Road?

    Here’s the episode 2 description, keeping the JLR story central but widening into the bigger British-industry and net-zero question. Jaguar Land Rover is cutting around 4,000 jobs, trying to save £1.7 billion and facing fierce competition from China, tariffs, rising costs and the lingering effects of a devastating cyberattack. Britain’s biggest carmaker is not going bust. But something is clearly going wrong. citeturn131080news47 In this episode of Mark & Pete, we ask: is Jaguar Land Rover running out of road? JLR employs about 43,000 people globally, around 34,000 of them in Britain, and is a hugely important part of UK manufacturing. Yet it now plans to remove nearly 10% of its workforce while lowering the number of vehicles it needs to sell just to break even. At the same time, remarkably, it still intends to invest somewhere between £15 billion and £18 billion over five years in electrification, digital technology and manufacturing. citeturn131080news47 Which brings us to the electric elephant in the showroom. Jaguar made the extraordinary decision to end its traditional model range and reinvent itself as an all-electric luxury brand. Was that bold long-term thinking, or did the company move further and faster than customers actually wanted? And JLR is hardly alone. Across Europe, traditional car manufacturers are struggling with the enormous expense of moving towards electric vehicles while Chinese manufacturers pile into the market with cheaper alternatives. Volkswagen, Stellantis, Nissan and others are restructuring as the industry changes at astonishing speed. citeturn131080news36 Britain has another problem too: the wider cost of doing business. There were 1,931 company insolvencies in England and Wales in July 2026, up 5% on the previous month. That is not another 2008-style collapse, and the insolvency rate remains well below the financial-crisis peak, but businesses are plainly operating in a difficult environment. citeturn131080search0 So we widen the discussion. Are net-zero targets, electric-vehicle mandates and high industrial energy costs helping Britain build the industries of the future, or making it harder to keep the industries we already have? Decarbonisation may be desirable. But if British factories close and we simply import cars, steel and manufactured goods made elsewhere, have we reduced emissions or merely exported them along with the jobs? Our Bible verse is Luke 14:28: before building the tower, sit down and count the cost. Perhaps Britain needs to do exactly that.

    Is Jaguar Landrover Running Out of Road?
  5. Sep 15

    The $5000 Vote: Trump Dividend or Trump Bribe?

    Donald Trump is promising Americans a $5,000 payment if Republicans win control of Congress. He calls it a dividend. Critics call it a bribe. And somewhere in the middle sits one of the strangest election promises in recent memory. In this episode of Mark & Pete, we ask whether the proposed $5,000 Trump dividend is actually a reward for American economic success, a spectacular piece of political theatre, or something uncomfortably close to buying goodwill with public money. The numbers are enormous. A payment of $5,000 to every eligible American adult could cost well over a trillion dollars. That immediately raises the obvious question: where does the money come from? Trump points to tariffs, economic growth and increased government revenue, but the sums do not neatly add up. Governments have, admittedly, never regarded that as an insurmountable obstacle. We look at whether the proposal could legally count as bribery. Strictly speaking, probably not. The payment would not depend on how an individual person voted. But politically the message is rather less subtle: return Republicans to power and there is a large cheque waiting. Is that fundamentally different from politicians promising tax cuts, pension increases, subsidies or benefits before an election? Perhaps not. But the sheer size and simplicity of the offer gives it a rather different flavour. Five thousand dollars is not a minor adjustment buried on page 87 of a manifesto. People notice it. We also ask whether the underlying economic claim stands up. Is the US economy really performing strongly enough to justify a national dividend? Is tariff income creating genuinely new wealth, or simply shifting costs around the economy? And what happens to inflation, borrowing and the already enormous US national debt if Congress actually approves the scheme? There is also a deeper question. Democracy depends on voters making judgements about leadership, policy, character and the common good. What happens when politics increasingly becomes transactional: what will you give me if I vote for you? Our Bible verse is Deuteronomy 16:19: “You shall not pervert justice… and you shall not accept a bribe.” Trump dividend or Trump bribe? Economic genius, shameless electioneering, or simply politics with cashback? Mark and Pete discuss.

    The $5000 Vote: Trump Dividend or Trump Bribe?
  6. Sep 11

    Robotaxis: are we ready to sack drivers?

    Robotaxis have arrived in London. Uber and British autonomous-driving company Wayve have launched the UK’s first public autonomous ride-hailing service, using specially equipped all-electric Ford Mustang Mach-E cars. You can now request an UberX, Uber Electric or Uber Comfort and, if fate is feeling futuristic, a self-driving car may turn up instead. There is, however, one small detail. There is still a driver. For now, each of London’s first robotaxis carries a qualified human safety driver behind the wheel. The initial fleet is tiny, around 15 cars, and passengers can refuse the autonomous option if they would rather be driven by a person with all the usual British motoring qualifications, including muttering at cyclists and becoming unexpectedly theological at roundabouts. Then BBC technology editor Zoe Kleinman tried one. Most of the journey apparently went perfectly well. And then, near the end, a van door suddenly opened into the robotaxi’s path and the human safety driver intervened. Which is, admittedly, not quite the advertising slogan Silicon Valley was hoping for. Wayve says its autonomous system would itself have reacted safely. That may well be true. But the sight of the human taking control at precisely the moment things became awkward rather neatly illustrates the whole question surrounding robotaxis. Are we actually ready? The argument for autonomous cars is stronger than many people assume. The UK government says drivers contribute to around 88 per cent of reported road collisions, which means removing tiredness, distraction, drink, impatience and simple human stupidity could produce enormous safety benefits. American evidence is encouraging too. UK government analysis cites peer-reviewed research based on 56.7 million fully driverless Waymo miles, showing an 85 per cent reduction in serious-injury crashes compared with human drivers, alongside large reductions in injuries involving pedestrians, cyclists and motorcyclists. Britain’s legal standard is deliberately demanding. Under the Automated Vehicles Act 2024, approved self-driving vehicles must eventually perform at least as safely as a careful and competent human driver, not merely the rather more alarming statistical creature known as the average driver. And yet driving is not merely following lanes and recognising traffic lights. It is dealing with delivery vans, roadworks, emergency vehicles, cyclists appearing from nowhere, pedestrians doing something inexplicable and a bloke in a white Transit deciding that the pavement is temporarily a loading bay. That is where the doubts begin. Mark and Pete ask whether self-driving taxis really will make Britain’s roads safer, what happens to taxi drivers, who carries the blame when artificial intelligence gets it wrong and whether people will ever trust machines with their lives. Because perhaps the biggest obstacle is not technology. It is us. If a human driver crashes, we call it an accident. If a robotaxi crashes, we call for Parliament.

    Robotaxis: are we ready to sack drivers?
  7. Sep 11

    Victoria Beckham: Posh has Finally Turned Profit.

    Victoria Beckham Holdings has finally made a profit. After 18 years of fashion shows, beauty launches, celebrity cachet, private investment, substantial losses and, one assumes, quite a lot of very expensive beige, Victoria Beckham’s fashion and beauty business has posted its first operating profit. And not a tiny one either. For 2025, Victoria Beckham Holdings reported revenue of £129.8 million, up 15 per cent from £112.7 million the year before. Operating profit came in at £7.3 million, compared with a £1.6 million operating loss in 2024. EBITDA rose more than fivefold to £12.1 million. It was also the company’s fifth consecutive year of double-digit revenue growth. So, has Posh finally done it? Well, yes. But there is quite a lot of history sitting behind that £7.3 million. Victoria Beckham launched the label in 2008, debuting her ready-to-wear collection at New York Fashion Week. The beauty arm followed in 2019. For years, though, the business lost money. By 2022 it was reportedly nearly £54 million in debt, while accumulated losses over the longer period have gone beyond £66 million. Which raises the slightly impolite question Mark and Pete are asking in this episode: was this always a genuinely good business waiting to come right, or a terrible business kept alive because Victoria Beckham happened to be married to a very rich former footballer and had access to investors most struggling fashion designers can only dream about? The answer, annoyingly, may be both. Because the turnaround now looks real. Beauty has become enormously important and reportedly makes up around two-thirds of group revenue. Products such as the Satin Kajal eyeliner have become strong sellers, while fashion has performed well in tailoring, occasion wear, denim and jersey. Better cost control, stronger direct-to-consumer sales and international expansion have all helped. And that changes the story. Keeping a loss-making company alive for years using outside money looks foolish right up until the moment it begins generating sustainable profits. Then somebody will inevitably write a business-school case study explaining that it was visionary patience all along. Mark and Pete look at the numbers behind Victoria Beckham’s first profit, the historic losses, the role of David Beckham and outside investors, the rise of Victoria Beckham Beauty and the uncomfortable but interesting question of whether celebrity businesses get chances ordinary entrepreneurs never would. Is this finally a great British business success story? Or merely the first year in which an extremely expensive hobby has remembered it is supposed to make money? Either way, after 18 years, Posh is in the black. You have to admire the persistence. Even if the accountant needed rather more convincing.

    Victoria Beckham: Posh has Finally Turned Profit.
  8. Sep 10

    Keir Starmer: Britain's Worse Ever Prime Minister?

    Keir Starmer resigns as MP, bringing an extraordinary political career to a rather abrupt close. After becoming Labour leader in 2020, winning a huge Commons majority in the 2024 UK general election, becoming Prime Minister and then leaving Downing Street in July 2026, Sir Keir has now decided to leave Parliament as well. So the question rather writes itself: was Keir Starmer Britain’s worst ever Prime Minister? That is the deliberately provocative question Mark and Pete tackle in this episode. Starmer was spectacularly successful at getting Labour into power. He took a party flattened in 2019 and, five years later, put it back in government with 411 MPs. You cannot really call that political incompetence. Yet that 411-seat victory came on only about 34 per cent of the national vote, an enormous parliamentary majority resting on a rather less enormous popular mandate. What happened afterwards, though, is rather more awkward. A premiership of barely two years, collapsing public enthusiasm, internal Labour rebellions, difficult economic choices and, eventually, Andy Burnham taking over as Prime Minister. And then there were the U-turns. Oh, the U-turns. Winter fuel payments. Welfare reform. The grooming gangs inquiry. Digital ID. Earlier promises on tuition fees and green investment. Positions announced firmly, defended firmly and, sometimes with impressive speed, replaced by another firm position. Starmer’s critics came to argue that the problem was not simply that he changed his mind. Governments have to do that occasionally. It was that voters increasingly struggled to work out what the underlying Starmer position actually was. Now comes perhaps the neatest turn of all. After indicating that he intended to remain in Parliament until the next general election, Starmer has resigned as MP for Holborn and St Pancras. The seat he first won in 2015 will now face a by-election, with Green leader Zack Polanski already saying he intends to stand. So what exactly is the Starmer legacy? A highly effective Leader of the Opposition who turned out to be a poor Prime Minister? A decent man trapped by events and impossible expectations? Or the political embodiment of managerial Britain, endlessly reviewing, consulting, recalibrating and then discovering that somebody else has acquired the keys to Number 10? Mark and Pete react to Starmer’s resignation, revisit some of his most memorable political reversals, assess Labour under Andy Burnham, and ask where Sir Keir sits among Britain’s shortest and least successful premierships. Was he really Britain’s worst ever Prime Minister? Liz Truss may reasonably request the right of reply. Politics, power, promises and the peculiar speed with which yesterday’s landslide can become today’s footnote. Psalm 146 offers an older warning: “Put not your trust in princes.” Westminster continues to provide the illustrations.

    Keir Starmer: Britain's Worse Ever Prime Minister?

Ratings & Reviews

5
out of 5
6 Ratings

About

What on earth is going on? Mark & Pete have a few thoughts. A weekly British podcast about news, politics, culture, faith and the peculiar things people do. Mark and Pete tackle the big headlines and the smaller stories that probably tell us rather more about ourselves than we’d like. Theme music : Title Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 4.0 https://creativecommons.org/licenses/by/4.0/

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