Footnotes to Plato from the foothills of the Superstition Mountains

Ceteris Paribus Laws and Miracles

Here is a passage from a paper by Nancy Cartwright, In Favor of Laws that are not Ceteris Paribus After All, for you to break your eager heads against:

Turn now to what Earman, Roberts, and Smith call “special force laws”, like the law of universal gravitation (A system of mass M exerts a force of size GMm/r^2 on another system of mass m a distance r away) or Coulomb’s law (A system with charge q1 exerts a force of size ε0q1q2/r^2 on another system of charge q2 a distance r away). These are not strict regularities. Any system that is both massive and charged presents a counterexample. Special forces behave in this respect just like powers. This is reflected in the language we use to present these laws: one mass attracts another; two negative charges repel each other. Attraction and repulsion are not among what Ryle called ‘success’ verbs. Their truth conditions do not demand success: X can truly attract Y despite the fact that Y is not moved towards X. But perhaps, as with the delights of our universe or the Ratman’s desire for the death of his father, the requisite effects are really there after all. Earman, Roberts, and Smith feel that the arguments against this position are not compelling. I think they are: the force of size GMm/r^2 does not appear to be there; it is not what standard measurements generally reveal; and the effects we are entitled to expect –- principally an acceleration in a system of mass m a distance r away of size GM/r^2 – are not there either.



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