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(3) Typically, all the laws constitute an infinite-dimensional affine space which is not a vector space, but the specification of the inertial law provides an origin in this space. Thus we can define the specific force to be the difference between an actual law and the inertial law, and the forces can be added vectorially.
There could be no science or technology without something like feature (3).

F. William Lawvere. Toposes of Laws of Motion, Sept. 27, 1997.

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