In Tudor England, the line between mathematics and the mystic arts is vanishingly thin. Straddling both worlds is John Dee, a brilliant scholar and astrologer whose intellect grants him access to the highest circles of power. Dee navigates the politics of the court by making bold prophecies, which win him royal favour. But even correct predictions may come with a price - and laying claim to the future is a dangerous game.

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Mike Lynch was often lauded as Britain's answer to Bill Gates. Born into a working-class family, Lynch's incredible intellect and passion for computers led him to become a billionaire tech entrepreneur. But behind the scenes, Lynch was a bully who couldn't bear criticism and was prone to creative accounting. When computer giant Hewlett Packard bought his company, Autonomy, it triggered one of the biggest fraud scandals in Silicon Valley history. Tim talks to Katie Prescott, Technology Business Editor at The Times and author of the book The Curious Case of Mike Lynch, about the lessons we can take from a story no one could have predicted.

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Dick and Mac are content with their lives: they enjoy making burgers by day and stargazing by night. Ray Kroc is a workaholic chasing success at any cost. When the brothers' relaxed approach to business collides with Kroc's ruthless ambition it will birth one of the world's best-known brands. This is the story of two very different approaches to making hamburgers - and two very different approaches to making money.

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Tim is running the London Marathon on the 26th of April. To give him a week off to finish training, we're playing this running-themed classic from the archives. If you would like to donate to Teenage Cancer Trust, Tim's fundraising page is at tinyurl.com/HarfordMarathon - any support is very much appreciated.

Until the 1960s, it was deemed too "dangerous" for women athletes to run distances longer than 200m - and a marathon would kill them, or leave them unable to have children. Rubbish, of course. But when Kathrine Switzer signed up for the 1967 Boston Marathon, it wasn't the distance that bothered her - it was the enraged race director trying to assault her.

Thanks to pioneers like Kathrine, women have made huge strides in long distance running - and are now challenging the times of men in the very races they were banned from for so very long.

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In 1860, police officer Robert O'Hara Burke plans an expedition to map the mysterious blank in the centre of Australia. Joining him is scientist William Wills, and a ragtag team of hires. Burke falls out with virtually everyone around him, and demonstrates an uncanny ability to make terrible choices - from the equipment he brings to the route he takes. But even as the mission unravels, one final, simple decision could still save him.

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Millionaire-making tech start-ups are most often associated with Silicon Valley. But this software revolution begins on a woman’s kitchen table in rural Britain in the 1960s. Steve Shirley faced extraordinary odds. After escaping Nazi Germany as a child, she later encountered workplace discrimination and endured deep personal tragedy. But she persevered to build a business decades ahead of its time, creating opportunities for hundreds of women.

Tim Harford is joined by Ben Walter, CEO of Chase for Business and host of The Unshakeables podcast, to explore the life, legacy and lessons of an overlooked titan of tech.

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As the Victorian era dawns, modernisation erodes the old ways of life and poverty rises. In the unrest, an unlikely hero emerges, capturing the imagination of the countryside's working class. He claims to be the new Messiah, and promises a better future. Despite his unconventional appearance and strange claims, his message resonates with the people of Kent, many of whom are willing to follow him into bloody battle. For this Cautionary Conversation, Ian Breckon - author of Mad Tom's Rising: The Revolutionary Mystic Sir William Courtenay and the Last Battle Fought on English Soil - joins Tim to discuss a forgotten folk hero and the dangerous power of belief in desperate times.

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In November 1979, Flight 901 departs New Zealand on a sightseeing journey over Antarctica, heading directly towards a volcano. When the plane vanishes, investigators are left with a mystery: how could a seasoned pilot miss a 12,000-foot peak? As they try to piece together the incident, conflicting stories emerge, key evidence disappears, and a troubling picture takes shape - one defined by human error, deceptive illusions, and the hunt for someone to blame.

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