But also, with computers, I get insights into how to fix the problem about twice as often as it actually does, so checking it through to understand why, and check it's really true, actually is worth it.
Also, maybe you pride yourself on your analysis of a problem, because it's a skill you've developed, but "suddenly seeing" feels like luck, even though it's a part of your skill.
so checking it through to understand why, and check it's really true, actually is worth it.
Yes, but that's not quite the same thing. Like an NP-complete problem, there's a world of difference between doing the minimal work to verify the accuracy of a provided candidate solution and doing the exhaustive search required to find a solution from a standing start. Of course I check my insights after I have them, but that's not the thing I'm talking about.
I think your last paragraph is coming close to it, though.
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But also, with computers, I get insights into how to fix the problem about twice as often as it actually does, so checking it through to understand why, and check it's really true, actually is worth it.
Also, maybe you pride yourself on your analysis of a problem, because it's a skill you've developed, but "suddenly seeing" feels like luck, even though it's a part of your skill.
Yes, but that's not quite the same thing. Like an NP-complete problem, there's a world of difference between doing the minimal work to verify the accuracy of a provided candidate solution and doing the exhaustive search required to find a solution from a standing start. Of course I check my insights after I have them, but that's not the thing I'm talking about.
I think your last paragraph is coming close to it, though.