Mary Tiles Mary Tiles is a philosopher and historian of mathematics and science. From 2006 until 2009, she served as chair of the philosophy department of the University of Hawaii at Manoa . She retired in 2009.Life At Bristol University , Tiles obtained her B.A. in philosophy and mathematics in 1967 and her Ph .D. in philosophy in 1973, followed by a B.Phil. in philosophy in 1974 at Oxford and a M.A. in 1978 at Cambridge . After positions as lecturer and visiting associate professor at different institutions , Tiles became associate professor of philosophy at University of Hawaii at Manoa in 1989 and full professor in 1992.Work Tiles' area of work is primarily philosophy and history of logic , mathematics and science, with a special emphasis on French contributions to this area, e.g. by Gaston Bachelard , Georges Canguilhem , Bruno Latour , Michel Foucault , Pierre Bourdieu , Michel Serres , Jean-Claude Martzloff , Karine Chemla , Catherine Jami , and François Jullien . One of her publications is the 1989 book The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise . As the subtitle suggests, it is an example of a book that treats the philosophy of mathematics as inseparable from historical concerns . Despite some criticisms, for its lack of technical detail and correctness, and for pressing the author's philosophical agenda on its readers , it has been recommended as an introductory textbook for undergraduates interested in the philosophy of mathematics.
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