If you have 3 different hypotheses, it’s much more natural to keep generating more hypotheses, and to pivot around in a multiple dimensional space of possibility.
The way I imagine this playing out—though I’m not sure how literal this is—is that three hypotheses plus the starting state generate a three-dimensional vector basis when they’re in general position. A corollary would be that you want neither all three nor two alongside the starting state to be collinear.
The way I imagine this playing out—though I’m not sure how literal this is—is that three hypotheses plus the starting state generate a three-dimensional vector basis when they’re in general position. A corollary would be that you want neither all three nor two alongside the starting state to be collinear.