168 Dear
ematica (Mainz, 1612), 1:3; Francis Bacon, The Advancement of Learning; New Atlantis,
ed. Arthur Johnston (Oxford: Clarendon Press, 1974), Advancement, Bk II, viii, 2
(pp. 96–97); see also Sachiko Kusukawa, “Bacon’s Classifi cation of Knowledge,” in The
Cambridge Companion to Bacon, ed. Markku Peltonen (Cambridge: Cambridge University
Press, 1996), 60; Gregor Horst, Institutionum logicarum libri duo (Wittenberg, 1608), 59.- Ioannis de Guevara, In Aristotelis Mechanicas commentarii (Rome, 1627), esp. 24,
on the question of the “mixed” character of mechanics (between physics and math-
ematics); cf. Moletti, in Laird, Unfi nished Mechanics, 79; other references in Peter Dear,
Discipline and Experience: The Mathematical Way in the Scientifi c Revolution (Chicago:
University of Chicago Press, 1995), 40. See also, on Guevara’s geometrical procedures,
William A. Wallace, “The Problem of Apodictic Proof in Early Seventeenth- Century
Mechanics: Galileo, Guevara, and the Jesuits,” Science in Context 3 (1989): 67–87. - Daniele Cozzoli, “Alessandro Piccolomini and the Certitude of Mathematics,”
History and Philosophy of Logic 28 (2007): 151–71; Paolo Mancosu, Philosophy of Math-
ematics and Mathematical Practice in the Seventeenth Century (New York: Oxford Univer-
sity Press, 1996); Nicholas Jardine, “Epistemology of the Sciences,” in The Cambridge
History of Renaissance Philosophy, ed. Quentin Skinner Charles Schmitt, Eckhard Kessler,
and Jill Kraye (Cambridge: Cambridge University Press, 1988), 685–711; Rivka Feldhay,
“The Use and Abuse of Mathematical Entities: Galileo and the Jesuits Revisited,” in The
Cambridge Companion to Galileo, ed. Peter Machamer (Cambridge: Cambridge Univer-
sity Press, 1998), 80–145, esp. 83–100. - Josephus Blancanus, De mathematicarum natura dissertatio (Bologna, 1615).
See Dear, Discipline and Experience, esp. 32–44; Mancosu, Philosophy of Mathematics,
includes a translation of the dissertatio. - See selections in Stillman Drake and I. E. Drabkin, eds., Mechanics in Sixteenth-
Century Italy: Selections from Tartaglia, Benedetti, Guido Ubaldo, and Galileo (Madison:
University of Wisconsin Press, 1969); see also Rose, Italian Renaissance of Mathematics;
Domenico Bertoloni Meli, Thinking with Objects: The Transformation of Mechanics in the
Seventeenth Century (Baltimore, MD: The Johns Hopkins University Press, 2006), esp.
ch. 1–2; W. R. Laird, “Archimedes among the Humanists,” Isis 82 (1991): 629–38. - Bertoloni Meli, Thinking with Objects, 63–65.
- Johannes Kepler, Epitome astronomiae Copernicanae, in Nicholas Jardine, The
Birth of History and Philosophy of Science: Kepler’s A Defence of Tycho Against Ursus with
Essays on Its Provenance and Signifi cance (Cambridge: Cambridge University Press 1984), - See, among others, J. V. Field, Kepler’s Geometrical Cosmology (London: Athlone,
1988); James R. Voelkel, The Composition of Kepler’s Astronomia Nova (Princeton,
NJ: Princeton University Press, 2001). On the mathematical and physical characters
of astronomy in this period, see also the classic article by Robert S. Westman, “The
Astronomer’s Role in the Sixteenth Century: A Preliminary Study,” History of Science 18
(1980): 105–47. - Albert Van Helden, introduction to Sidereus Nuncius, or, the Sidereal Messenger,
by Galileo Galilei, (Chicago: University of Chicago Press, 1989). - Peter Machamer, “New Perspectives on Galileo,” in New Perspectives on Galileo,
ed. Robert E. Butts and Joseph C. Pitt (Dordrecht: D. Reidel, 1978), 161–80; James G. Len-
nox, “Aristotle, Galileo, and ‘Mixed Sciences,’” in Reinterpreting Galileo, ed. William A.
Wallace (Washington DC: University of America Press, 1986), 29–51; W. Roy Laird,