Introduction / Geoffrey Gorham, Benjamin Hill, and Edward Slowik -- Reading the book of nature : the ontological and epistemological underpinnings of Galileo's mathematical realism / Carla Rita Palmerino -- "The marriage of physics with mathematics" : Francis Bacon on measurement, mathematics, and the construction of a mathematical physics / Dana Jalobeanu -- On the mathematization of free fall : Galileo, Descartes, and a history of misconstrual / Richard T.W. Arthur -- The mathematization of nature in Descartes and the first Cartesians / Roger Ariew -- Laws of nature and the mathematics of motion / Daniel Garber -- Ratios, quotients, and the language of nature / Douglas Jesseph -- Color by numbers : the harmonious palette in early modern painting / Eileen Reeves -- The role of mathematical practitioners and mathematical practice in developing mathematics as the language of nature / Lesley B. Cormack -- Leibniz on order and the notion of substance : mathematizing the sciences of metaphysics and physics / Kurt Smith -- Leibniz's harlequinade : nature, infinity, and the |