James Franklin (philosopher) James Franklin is an Australian philosopher , mathematician and historian of ideas .Life and career Franklin was educated at St. Joseph's College, Hunters Hill, New South Wales . His undergraduate work was at the University of Sydney , where he attended St John's College and he was influenced by philosophers David Stove and David Armstrong . He completed his PhD in 1981 at the University of Warwick , on algebraic groups . Since 1981 he has taught in the School of Mathematics and Statistics at the University of New South Wales . His research areas include the philosophy of mathematics and the 'formal sciences', the history of probability , Australian Catholic history , the parallel between ethics and mathematics, restraint, the quantification of rights in applied ethics , and the analysis of extreme risk . Franklin is the literary executor of David Stove. His 2001 book, The Science of Conjecture: Evidence and Probability Before Pascal , covered the development of thinking about uncertain evidence over many centuries up to 1650. Its central theme was ancient and medieval work on the law of evidence , which developed concepts like half-proof , similar to modern proof beyond reasonable doubt , as well as analyses of aleatory contracts like insurance and gambling . His polemical history of Australian philosophy , Corrupting the Youth , praised the Australian realist tradition in philosophy and attacked postmodernist and relativist trends. In the philosophy of mathematics, he defends an Aristotelian realist theory, according to which mathematics is about certain real features of the world, namely the quantitative and structural features. The theory stands in opposition to both Platonism and nominalism , and emphasises applied mathematics and mathematical modelling as the most philosophically central parts of mathematics. He is the founder of the Sydney School in the philosophy of mathematics. In 2008 he set up the Australian Database of Indigenous Violence. He is the editor of the Journal of the Australian Catholic Historical Society , and is a Fellow of the Royal Society of New South Wales .Publications Franklin has written several books and articles: 1996 and 2011, ', originally published as Introduction to Proofs in Mathematics , in 1988. 2001, repr. 2015, ', ; 2003, ', ; 2006, ', ; 2007, ', 2009, ' 2014, ', 2015, ', Articles : 1982, , Quadrant 26 :51–60. 1994, ', in: Studies in History and Philosophy of Science , Volume 25, No. 4, 513–533, Elsevier Science Ltd . 2000,, in: The New Criterion , Volume 18, No. 10, June 2000. 2000, ', in: 1543 and All That: Image and Word, Change and Continuity in the Proto-Scientific Revolution , ed. G. Freeland & A. Corones, Dordrecht: Kluwer, 53–115. 2003, in: Law, Probability and Risk 2 , 191–199. 2006, , in: Cambridge History of Eighteenth Century Philosophy , ed. K. Haakonssen, Cambridge, 2006, 817–853. 2010, The postmodern calculus, New Criterion 29 , 75-80. 2016, , Journal of the Australian Catholic Historical Society 37 , 45-68.
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