John Venn

Presents a biographical sketch of English logician and man of letters John Venn (1834-1923), compiled as part of the MacTutor History of Mathematics Archive of the School of Mathematics and Statistics at the University of Saint Andrews in Scotland. Notes that Venn compiled a history of Cambridge University.

The first comprehensive history of John Venn’s life and work. John Venn (1834–1923) is remembered today as the inventor of the famous Venn diagram. The postmortem fame of the diagram has until now eclipsed Venn’s own status as one of the most accomplished logicians of his day. Praised by John Stuart Mill as a “highly successful thinker” with much “power of original thought,” Venn had a profound influence on nineteenth-century scientists and philosophers, ranging from Mill and Francis Galton to Lewis Carroll and Charles Sanders Peirce. Venn was heir to a clerical Evangelical dynasty, but religious doubts led him to resign Holy Orders and instead focus on an academic career. He wrote influential textbooks on probability theory and logic, became a fellow of the Royal Society, and advocated alongside Henry Sidgwick for educational reform, including that of women’s higher education. Moreover, through his students, a direct line can be traced from Venn to the early analytic philosophy of G. E. Moore and Bertrand Russell, and family ties connect him to the famous Bloomsbury group. This essential book takes readers on Venn’s journey from Evangelical son to Cambridge don to explore his life and work in context. Drawing on Venn’s key writings and correspondence, published and unpublished, Lukas M. Verburgt unearths the legacy of the logician’s wide-ranging thinking while offering perspective on broader themes in religion, science, and the university in Victorian Britain. The rich picture that emerges of Venn, the person, is of a man with many sympathies—sometimes mutually reinforcing and at other times outwardly and inwardly contradictory.

This is the first book to present a carefully chosen and annotated selection of the unpublished writings and correspondence of the English logician John Venn (1834-1923). Today remembered mainly as the inventor of the famous diagram that bears his name, Venn was an important figure of nineteenth-century Cambridge, where he worked alongside leading thinkers, such as Henry Sidgwick and Alfred Marshall, on the development of the Moral Sciences Tripos. Venn published three influential textbooks on logic, contributed some dozen articles to the then newly-established journal Mind, of which he became co-editor in 1892, and counted F.W. Maitland, William Cunningham and Arthur Balfour among his pupils. After his active career as a logician, which ended around the turn of the 20th century, Venn reinvented himself as a biographer of his University, College and family. Together with his son, he worked on the massive Alumni Cantabrigienses, which is still used today as a standard reference source. The material presented here, including the 100-page Annals: Autobiographical Sketch, provides much new information on Venn's philosophical development and Cambridge in the 1850s-60s. It also brings to light Venn's relation with famous colleagues and friends, such as Leslie Stephen, Francis Galton, and William Stanley Jevons, thereby placing him at the heart of Victorian intellectual life.

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For anyone interested in mathematics or its history, Cogwheels of the Mind is invaluable and compelling reading.