Abstract

This essay addresses the historical role of women’s work in the foundations debate in mathematical logic at the University of Cambridge. Part I gives an overview of the philosophical culture of Cambridge in the interwar era, its significance for women post-graduates, and its vested interests in achievement. Part II assesses the contents of the American logician Alice Ambrose’s post-graduate publications on the foundations debate, her teacher Ludwig Wittgenstein’s denunciation of her work, and Bertrand Russell’s subsequent critique of Ambrose’s remarks on the grammar of mathematical expression. At the center of this investigation is a portrait of Ambrose’s contributions to the Cambridge school of analysis and the elite capture of her ingenuity in elaborating Wittgenstein’s later philosophy. In recovering the historical context of this moment, the essay highlights those oblong dimensions of sociality in the English ancient university that warped women’s position as students and commentators in mathematical logic, giving shape to their later perspectives as late-twentieth-century professional philosophers.