Some reflections on Newton’s Principia

This article examines the text of Principia Mathematica to discover the extent to which Newton’s claims about his own contribution to it were justified. It is argued that for polemical reasons the General Scholium, written twenty-six years after the first edition, substantially misrepresented the methodology of the main body of the text. The article discusses papers of Wallis, Wren and Huygens that use the third law of motion as set out by Newton in Book 1. It also argues that Newton’s use of induction is quite different from and subtler than the ‘ logical’ and ‘ probabilistic’ notions of induction discussed and then rejected by a number of twentieth-century philosophers.