BBC RADIO 4 - In our time

Melvyn Bragg and guests discuss the ideas and life of one of the greatest mathematicians of the 20th century, Emmy Noether. Noether’s Theorem is regarded as one of the most important mathematical theorems, influencing the evolution of modern physics. Born in 1882 in Bavaria, Noether studied mathematics at a time when women were generally denied the chance to pursue academic careers and, to get round objections, she spent four years lecturing under a male colleague’s name. In the 1930s she faced further objections to her teaching, as she was Jewish, and she left for the USA when the Nazis came to power. Her innovative ideas were to become widely recognised and she is now considered to be one of the founders of modern algebra. With Colva Roney Dougal Professor of Pure Mathematics at the University of St Andrews David Berman Professor in Theoretical Physics at Queen Mary, University of London Elizabeth Mansfield Professor of Mathematics at the University of Kent Producer: Simon Tillotson

Melvyn Bragg and guests discuss one of the jewels of medieval English poetry. It was written c1400 by an unknown poet and then was left hidden in private collections until the C19th when it emerged. It tells the story of a giant green knight who disrupts Christmas at Camelot, daring Gawain to cut off his head with an axe if he can do the same to Gawain the following year. Much to the surprise of Arthur's court, who were kicking the green head around, the decapitated body reaches for his head and rides off, leaving Gawain to face his promise and his apparently inevitable death the following Christmas. The illustration above is ©British Library Board Cotton MS Nero A.x, article 3, ff.94v95 With Laura Ashe Professor of English Literature at Worcester College, University of Oxford Ad Putter Professor of Medieval English Literature at the University of Bristol And Simon Armitage Poet Laureate and Professor of Poetry at the Universities of Leeds and Oxford Producer: Simon Tillotson

Melvyn Bragg and guests discuss the philosophy of hope. To the ancient Greeks, hope was closer to self-deception, one of the evils left in Pandora's box or jar, in Hesiod's story. In Christian tradition, hope became one of the theological virtues, the desire for divine union and the expectation of receiving it, an action of the will rather than the intellect. To Kant, 'what may I hope' was one of the three basic questions which human reason asks, while Nietzsche echoed Hesiod, arguing that leaving hope in the box was a deception by the gods, reflecting human inability to face the demands of existence. Yet even those critical of hope, like Camus, conceded that life was nearly impossible without it. With Beatrice Han-Pile Professor of Philosophy at the University of Essex Robert Stern Professor of Philosophy at the University of Sheffield And Judith Wolfe Professor of Philosophical Theology at the University of St Andrews Producer: Simon Tillotson

Melvyn Bragg and guests discuss the planet Venus which is both the morning star and the evening star, rotates backwards at walking speed and has a day which is longer than its year. It has long been called Earth’s twin, yet the differences are more striking than the similarities. Once imagined covered with steaming jungles and oceans, we now know the surface of Venus is 450 degrees celsius, and the pressure there is 90 times greater than on Earth, enough to crush an astronaut. The more we learn of it, though, the more we learn of our own planet, such as whether Earth could become more like Venus in some ways, over time. With Carolin Crawford Public Astronomer at the Institute of Astronomy and Fellow of Emmanuel College, University of Cambridge Colin Wilson Senior Research Fellow in Planetary Science at the University of Oxford And Andrew Coates Professor of Physics at Mullard Space Science Laboratory, University College London Produced by: Simon Tillotson and Julia Johnson

Melvyn Bragg and guests discuss the works of Wharton (1862-1937) such as The Age of Innocence for which she won the Pulitzer Prize and was the first woman to do so, The House of Mirth, and The Custom of the Country. Her novels explore the world of privileged New Yorkers in the Gilded Age of the late C19th, of which she was part, drawing on her own experiences and written from the perspective of the new century, either side of WW1 . Among her themes, she examined the choices available to women and the extent to which they could ever really be free, even if rich. With Dame Hermione Lee Biographer, former President of Wolfson College, Oxford Bridget Bennett Professor of American Literature and Culture at the University of Leeds And Laura Rattray Reader in North American Literature at the University of Glasgow Producer: Simon Tillotson