Rethinking Newton's $\textit{Principia}$

@inproceedings{Saunders2016RethinkingN,
  title={Rethinking Newton's \$\textit\{Principia\}\$},
  author={Simon Saunders},
  year={2016}
}
It is widely accepted that the notion of an inertial frame is central to Newtonian mechanics and that the correct space-time structure underlying $\text{Newton's}$ methods in $\textit{Principia}$ is neo-Newtonian or Galilean space-time. I argue to the contrary that inertial frames are not needed in $\text{Newton's}$ theory of motion, and that the right space-time structure for $\text{Newton's}$ $\textit{Principia}$ requires the notion of parallelism of spatial directions at different times and… CONTINUE READING

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