much of good design is "do it twelve times and choose the best"
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Exactly!
This is the basis of creativity. For example in science, we take a guess at the possible explanations for something, and then pick the best one.
Such a simple statement, "do it twelve times and choose the best" but the implications are profound.
It implies that science, math, design, or anything creative can never be "solved", because we could never come up with ALL the possible solutions to a problem, and therefore we can never be sure that there isn't an even better solution that we just never thought of.
We can never know that Relativity or Quantum Mechanics are true. We can only know that we haven't come up with anything better.
It's called "Fallibilism", or more simply "Humility".
Going on a rant here but this is why the Moonshots podcast has been driving me nuts lately. I'm bullish on AI, but every time I hear them say that LLMs are going to "solve all math" or "solve all science" I realize that they never read their Popper.