Newton had other postulates by which he could get the law of angular momentum, but Newtonian laws were wrong. There's no forces, it's all a lot of balony. The particles don't have orbits, and so on.
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Richard Feynman, "[http://www.youtube.com/watch?v=M9ZYEb0Vf8U The Relation of Mathematics to Physics]," The Character of Physical Law, Messenger Lectures (1964)