That's tautological, and basically wrong. This is something that they do teach to school children, but then when they get older, they ask, "what force other than gravity causes the ball to go down into the pit"? It's a good question.
As it turns out, I'm actually taking an advanced course on it right now, so I can explain. The actual force of gravity isn't a force at all. It's a fictitious force that only appears when you're in a 'weird' reference frame. Standing on the surface of the Earth is one such 'weird' frame. The proper frames for gravity are actually spacetime geodesics, and in these frames, ignoring tidal forces, you don't feel gravity at all. Now, because these are paths in space AND time, this involves movement, and hence this is why things fall. Or, in other words, in curved spacetime, being "at rest" is falling.




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