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Explore the fascinating process of how mathematical knowledge is preserved and transmitted across generations in this lecture by Caroline Ehrhardt from Gresham College. Challenge the common assumption that mathematics is inherently permanent by examining the complex heritage-making processes that give mathematical ideas their longevity. Discover how people, institutions, and material objects work together to record and preserve mathematical knowledge through detailed case studies of two distinct types of French nineteenth-century libraries: personal collections of renowned mathematicians and institutional libraries of secondary schools. Investigate how the recording and forgetting of mathematical ideas is shaped by their publishing contexts, political environments, and intellectual frameworks. Gain insights into the deliberate efforts required to maintain mathematical heritage and understand how historical, social, and institutional factors influence which mathematical knowledge survives and which is lost to time.