David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Perspectives on Science 12 (3):262-287 (2004)
: Although Galileo's struggle to mathematize the study of nature is well known and oft discussed, less discussed is the form this struggle takes in relation to Galileo's first new science, the science of the second day of the Discorsi. This essay argues that Galileo's first science ought to be understood as the science of matter—not, as it is usually understood, the science of the strength of materials. This understanding sheds light on the convoluted structure of the Discorsi's first day. It suggests that the day's meandering discussions of the continuum, infinity, the vacuum, and condensation and rarefaction establish that a formal treatment of the "eternal and necessary" properties of matter is possible; i.e., that matter as such can be considered mathematically. This would have been a necessary, and indeed revolutionary, preliminary to the mathematical science of the second day because matter itself was thought in the Aristotelian tradition to be responsible for the departure of natural bodies from the unchanging and thus mathematizable character of abstract objects. In addition, the first day establishes that when considered physically, these properties account for matter's force of cohesion and resistance to fracture. This essay closes by showing that this dual style of reasoning accords with the conceptual structure of mixed mathematics
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References found in this work BETA
Daniel Garber (2004). On the Frontlines of the Scientific Revolution: How Mersenne Learned to Love Galileo. Perspectives on Science 12 (2):135-163.
Noretta Koertge (1977). Galileo and the Problem of Accidents. Journal of the History of Ideas 38 (3):389.
N. Jardine (1976). Galileo's Road to Truth and the Demonstrative Regress. Studies in History and Philosophy of Science Part A 7 (4):277-318.
Richard Mckirahan Jr (1978). Aristotle's Subordinate Sciences. British Journal for the History of Science 11 (3):197-220.
A. Mark Smith (1976). Galileo's Theory of Indivisibles: Revolution or Compromise? Journal of the History of Ideas 37 (4):571.
Citations of this work BETA
Sven Dupré (2012). Kepler's Optics Without Hypotheses. Synthese 185 (3):501-525.
Renée Jennifer Raphael (2011). Making Sense of Day 1 of the Two New Sciences: Galileo's Aristotelian-Inspired Agenda and His Jesuit Readers. Studies in History and Philosophy of Science Part A 42 (4):479-491.
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