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by photochemsyn 1326 days ago
Feynman's Caltech lectures (Symmetry in Physical Law plus a few others) tackle the problem in this manner (at first) before going into vector analysis and vector algebra. For example with respect to rotation:

> "Another example in which the laws are not symmetrical, that we know quite well, is this: a system in rotation at a uniform angular velocity does not give the same apparent laws as one that is not rotating. If we make an experiment and then put everything in a space ship and have the space ship spinning in empty space, all alone at a constant angular velocity, the apparatus will not work the same way because, as we know, things inside the equipment will be thrown to the outside, and so on, by the centrifugal or Coriolis forces, etc. In fact, we can tell that the earth is rotating by using a so-called Foucault pendulum, without looking outside."

https://www.feynmanlectures.caltech.edu/I_52.html