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Like Descartes and Pascal, Hans Hahn (1879-1934) was both an eminent mathematician and a highly influential philosopher. He founded the Vienna Circle and was the teacher of both Kurt Gödel and Karl Popper. His seminal contributions to functional analysis and general topology had a huge impact on the development of modern analysis. Hahn's passionate interest in the foundations of mathematics, vividly described in Sir Karl Popper's foreword (which became his last essay), had a decisive influence upon Gödel. Like Freud, Musil and Schönberg, Hahn became a pivotal figure in the feverish intellectual climate of Vienna between the two wars.