<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Ducheyne, Steffen</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Mathematical models in Newton's Principia: a new view of the 'Newtonian Style'.</style></title><secondary-title><style face="normal" font="default" size="100%">International Studies in the Philosophy of Science</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2005</style></year></dates><number><style face="normal" font="default" size="100%">1</style></number><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">1–19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this essay I argue against I. Bernard Cohens influential account of Newtons methodology in the Principia: the Newtonian Style. The crux of Cohens account is the successive adaptation of mental constructs through comparisons with nature. In Cohens view there is a direct dynamic between the mental constructs and physical systems. I argue that his account is essentially hypothetical-deductive, which is at odds with Newtons rejection of the hypothetical-deductive method. An adequate account of Newtons methodology needs to show how Newtons method proceeds differently from the hypothetical-deductive method. In the constructive part I argue for my own account, which is model based: it focuses on how Newton constructed his models in Book I of the Principia. I will show that Newton understood Book I as an exercise in determining the mathematical consequences of certain force functions. The growing complexity of Newtons models is a result of exploring increasingly complex force functions (intra-theoretical dynamics) rather than a successive comparison with nature (extra-theoretical dynamics). Nature did not enter the scene here. This intra-theoretical dynamics is related to the autonomy of the models.&lt;/p&gt;</style></abstract></record></records></xml>