>>13835376>. You interpret them as little arrows which indicate some force in a direction, but you could also just say that the vector is a point in a ‘force space’. And points in ‘force space’ act on points in space. You may even describe a point-vector pair as a point with two components each of which is a point: one from space and the other from force-space.Unless you have a base point chosen for you this is impossible. And if you have an ordered pair of points - whats the difference between that and an arrow?
In physics and geometry the basepoints are given to you by exactly the fact that you localize(or by QM being a thing and saying fuck you, let a state live in an (infinite dimensional) inner product space over C, cuz fuck you)
