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.
Yeah. I’m not entirely sure what you mean by the metaphor, but I use a similar metaphor.
I think, ideally, you’ll have at least 3 plans and at least 3 different frames for “what are your plans trying to accomplish”. i.e. the 3 plans are solving somewhat different problems. And this is specifically getting at the “being able to move around freely in 3 dimensions” thingy.
The actual top-level blogpost I plan to write is probably going to be called “3 plans, 2 frames, and a crux”, which is based on what actually feels reasonable to ask of people in most circumstances. i.e:
Come up with at least 3 different plans.
At least two of them should looking at the problem differently.
If it’s obvious which plan is your favorite, figure out what observations you could make later on that might change your mind towards one of the other two.
When you’re fluent at this sort of thing, you should have lots of different plans and backup plans in mind such that you have way more than 3, but, this felt like a reasonable bid given that people will probably find all these steps cumbersome and annoying at first.
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.
Yeah. I’m not entirely sure what you mean by the metaphor, but I use a similar metaphor.
I think, ideally, you’ll have at least 3 plans and at least 3 different frames for “what are your plans trying to accomplish”. i.e. the 3 plans are solving somewhat different problems. And this is specifically getting at the “being able to move around freely in 3 dimensions” thingy.
The actual top-level blogpost I plan to write is probably going to be called “3 plans, 2 frames, and a crux”, which is based on what actually feels reasonable to ask of people in most circumstances. i.e:
Come up with at least 3 different plans.
At least two of them should looking at the problem differently.
If it’s obvious which plan is your favorite, figure out what observations you could make later on that might change your mind towards one of the other two.
When you’re fluent at this sort of thing, you should have lots of different plans and backup plans in mind such that you have way more than 3, but, this felt like a reasonable bid given that people will probably find all these steps cumbersome and annoying at first.