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A Companion to Hobbes


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1916. William Oughtred: A Great Seventeenth-Century Teacher of Mathematics. London and Chicago: Open Court.

      7 Cavalieri, Bonaventura. 1635. Geometria Indivisibilibus Continuorum Nova Quadam Ratione Promota. Bologna: J. Monti.

      8 Clavius, Christopher. 1612. Christophori Clavii Bamburgensis E Societate Jesu Opera Mathematica, 5 vols. Mainz: R. Eltz.

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      10 Descartes, René. 1964–1996. Œuvres de Descartes, edited by Charles Adam and Paul Tannery. Revised edn. 11 vols. Paris: Vrin. cited asAT

      11 Dunlop, Katherine. 2016. “Hobbes’s Mathematical Thought.” In The Oxford Handbook of Hobbes, edited by Aloysius P. Martinich and Kinch Hoekstra, 76–104. Oxford: Oxford University Press.

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      17 Hobbes, Thomas. 2012. Leviathan, 2 vols., edited by Noel Malcolm. Oxford: Clarendon Press. [First published 1651].

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      19 Jesseph, Douglas. 1999. Squaring the Circle: The War between Hobbes and Wallis. Chicago: University of Chicago Press.

      20 Jesseph, Douglas. 2016. “Geometry.” In The Cambridge Descartes Lexicon, edited by Lawrence Nolan, 321–9. Cambridge: Cambridge University Press.

      21 Jesseph, Douglas. 2017. “Hobbes on the Ratios of Motions and Magnitudes: The Central Task of De Corpore, Part III.” Hobbes Studies 30: 59–82.

      22 Jesseph, Douglas. 2018. “Geometry, Religion, and Politics: Context and Consequences of the Hobbes-Wallis Dispute.” Notes and Records of the Royal Society 72: 469–86.

      23 Jesseph, Douglas. 2020. “The Indivisibles of the Continuum: Seventeenth-Century Adventures in Infinitesimal Mathematics.” In The History of Continua: Philosophical and Mathematical Perspectives, edited by Stewart Shapiro and Geoffrey Hellman, 104–22. Oxford: Oxford University Press.

      24 Julien, Vincent. 2016. “Roberval’s Indivisibles.” In Seventeenth-Century Indivisibles Revisited, edited by Vincent Julien, 177–210. Heidelberg, New York, Dordrecht, and London: Springer.

      25 Malcolm, Noel. 2002. “Hobbes and Roberval.” In Aspects of Hobbes, edited by Noel Malcolm, 156–99. Oxford: Oxford University Press.

      26 Mancosu, Paolo. 2008. “Descartes and Mathematics.” In A Companion to Descartes, edited by Janet Broughton and John Carriero, 103–23. Oxford: Blackwell.

      27 Mersenne, Marin. 1644. Cogitata Physico-Mathematica. Paris: Bertier.

      28 Palmieri, Paolo. 2001. “The Obscurity of the Equimultiples: Clavius’ and Galileo’s Foundational Studies of Euclid’s Theory of Proportions.” Archive for History of Exact Sciences 55: 555–97.

      29 Parkin, Jon. 2010. Taming the Leviathan: The Reception of the Political and Religious Ideas of Thomas Hobbes in England (1640–1700). Cambridge: Cambridge University Press.

      30 Peters, Richard. 1956. Hobbes. Harmondsworth: Penguin.

      31 Proclus. 1970. A Commentary on the First Book of Euclid’s “Elements”, edited by Glen R. Morrow. Princeton, NJ: Princeton University Press.

      32 Scott, Joseph F. 1938. The Mathematical Work of John Wallis. London: Taylor and Francis.

      33 Serfati, Michel. 2005. “René Descartes’ Géométrie. ” In Landmark Writings in Western Mathematics, 1640–1940, edited by Ivor Grattan-Guinness, 1–22. Amsterdam: Elsevier.

      34 Serjeanston, Richard. 2006. “Hobbes, the Universities, and the History of Philosophy.” In The Philosopher in Early Modern Europe, edited by Conal Condren, Stephen Gaukroger, and Ian Hunter, 113–39. Cambridge: Cambridge University Press.

      35 Shirley, John W. 1983. Thomas Harriot. Oxford: Oxford University Press.

      36 Viète, François. 1591. In Artem Analyticem Isagoge. Tours: Mettayer.

      37 Wallis, John. 1655. Elenchus Geometriæ Hobbianæ. Oxford: J. Crooke.

      38 Wallis, John. 1693–1699. Johannis Wallis S. T. D. … Opera Mathematica, 3 vols. Oxford: At the Sheldonian Theater.

      39 Ward, Seth. 1654. Vindiciæ Academiarum. Oxford: L. Litchfield.

      MARCUS P. ADAMS

      In the Epistle Dedicatory of De corpore, Thomas Hobbes claimed that in his time natural philosophy was only in its infancy, having been born with work of Copernicus, Galileo, Harvey, Kepler, Gassendi, and Mersenne (EW I.ix). Although he portrayed himself as the progenitor of civil philosophy, Hobbes also saw himself as contributing to the (in his opinion) juvenile disciplines of optics and natural philosophy. For example, he claimed in 1646 in A Minute or First Draught of the Optiques (hereafter Minute) that he would “deserve the Reputation of having beene the first to lay the ground of two Sciences, this of Opticques, the most curious, and that other of naturall Justice, which I have done in my book De cive, the most profitable of all other” (Hobbes 1983 [1646], 622; cf. EW VII.471).

      First, I discuss Hobbes’s statements about the structure of philosophy and suggest that a focus on these reflections – rather than on Hobbes’s explanatory practice – has led some scholars to understand Hobbes as an armchair speculative philosopher, both in his own natural-philosophy endeavors