The rhetoric of algorithmic neutrality is more alive than ever-why? This volume explores key moments in the historical emergence of algorithmic practices and in the constitution of their credibility and authority since 1500. If algorithms are historical objects and their associated meanings and values are situated and contingent-and if we are to push back against rhetorical claims of otherwise-then the genealogical investigation this book offers is essential to understand the power of the algorithm. The fact that algorithms create the conditions (...) for many of our encounters with social reality contrasts starkly with their relative invisibility. More than other artifacts, algorithms are easily black-boxed. Rather than contingent and modifiable, they are widely seen as obvious and unproblematic-without context and without history. As an antidote, this volume keeps a clear focus on the emergence and continuous reconstitution of algorithmic practices alongside the ascendance of modernity. Its essays highlight the trajectory of an algorithmic modernity, one characterized by attitudes and practices that are best emblematized by the modernist aesthetic and inhuman efficacy of the algorithm. The volume moves from early modern algorithmic practices, centered on heuristics for arithmetic operations, emphasizing ruptures, shifts, and variations across times and cultures. By the age of Enlightenment, the term algorithm had come to signify any process of systematic calculation that could be carried out mechanically, but its meaning and implications are still distant from those familiar to us. It's in the nineteenth and twentieth century that the meaning of algorithm is sharpened through a new discipline and by adding sets of specific conditions-such as the condition of finiteness-which acquire new and crucial significance in the age of digital computing. Throughout, the connection between algorithms and modernity is one of our central concerns. Through detailed historical reconstructions of specific moments, thinkers, and cultural phenomena over the last five hundred years, these essays lead us to the definitions of algorithm most legible today and to the pervasiveness of both algorithmic procedures and rhetoric. This volume contributes a multi-faceted exploration of the genealogies of algorithms, of algorithmic thinking, and of the distinctly modernist faith in algorithms as neutral tools that merely illuminate the natural and social world. (shrink)

Maria Gaetana Agnesi is known as the author of a textbook on calculus that appeared in Milan in 1748. For the first time a woman was able to establish herself as a legitimate mathematician and publish her work. This essay reconstructs the religious and scientific culture in which the textbook originated and considers lesser-known aspects of Agnesi's life and thought. It argues that Agnesi was a principal exponent of the "Catholic Enlightenment" in Italy and that her spiritual practice, pious activity, (...) and innovative pedagogical ideas profoundly shaped her approach to mathematics. The study suggests that the reformist culture of the Catholic Enlightenment provided the conditions that enabled a few talented women to access privileged forms of knowledge and social life; it may be one factor that accounts for the unusual presence of learned women in Italian scientific institutions during the early eighteenth century. (shrink)

J. E. Force and S. Hutton , Newton and Newtonianism: New Studies. International Archives of the History of Ideas 188. Dordrecht, Boston and London: Kluwer, 2004. Pp. xvii+246. ISBN 1-4020-1969-6. £67.00 .Rob Iliffe, Milo Keynes and Rebekah Higgitt , Early Biographies of Isaac Newton 1660–1885. Vol. 1: Eighteenth-Century Biography of Isaac Newton: The Unpublished Manuscripts and Early Texts. Vol. 2: Nineteenth-Century Biography of Isaac Newton: Private Debate and Public Controversy. London: Pickering and Chatto, 2006. Pp. lxxii+387 and xliii+420. ISBN 1-85-196778-8. (...) £195.00 .Milo Keynes, The Iconography of Sir Isaac Newton to 1800. Woodbridge: The Boydell Press, 2005. Pp. viii+120. ISBN 1-84383-133-3. £40.00 .John Henry , Newtonianism in Eighteenth-Century Britain. 7 vols. Bristol: Thoemmes Continuum, 2004. ISBN 1-84371-113-3. £595.00 .Mordechai Feingold, The Newtonian Moment: Isaac Newton and the Making of Modern Culture. New York and Oxford: The New York Public Library and Oxford University Press, 2004. Pp. xv+218. ISBN 0-19-517735-5. £25.00 .Margaret C. Jacob and Larry Stewart, Practical Matter: Newton's Science in the Service of Industry and Empire 1687–1851. Cambridge, MA and London: Harvard University Press, 2004. Pp. 201. ISBN 0-674-01497-9. £22.95. (shrink)