Sarah Hart, Professor emerita of mathematics at the University of London, intertwines mathematics with music and literature in a fascinating discussion. She explores how mathematical structures influence musical compositions, enhancing our auditory experiences. Hart also delves into the patterns and rhythms that connect numbers with narratives, highlighting Lewis Carroll's playful use of logic and the creative potential within mathematical constraints. Listeners are invited to appreciate the beauty found in the harmony of math, music, and storytelling.

Sarah Hart, Professor Emerita of Geometry and Mathematics at Birkbeck, dives into the fascinating world of coincidences. She explains how what we consider random occurrences are grounded in mathematical principles. Hart discusses the probability behind events like matching PINs and the surprising frequency of coincidences in social networks. She addresses misconceptions about luck, using lottery wins as an example, and even delves into the allure of psychic predictions, revealing the math that demystifies these phenomena.

Steve is on a mission to reform math education, and Sarah Hart is ready to join the cause. In her return visit to the show, Sarah explains how patterns are everywhere, constraints make us more creative, and literature is surprisingly mathematical.