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apocadam

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Exactly, it's completely arbitrary. I like to frame it in terms of fitting n points (the existing data in the problem) to a polynomial of degree n+1, where there's an infinite number of ways to pick a solution and still satisfy the initial data.

If you don't mind, could you share how you overcame that? I think for me at least a lot of it is/was not being able to be comfortable struggling with a hard problem for an extended amount of time, probably due to being used to only solving fairly trivial exercises and thus feeling dumb/the problem feeling impossible if it wasn't clearly solvable under a short timeframe.

What actually hurt young people was the constant reinforcement that "anyone can do anything/anyone can be the best"

I think Ratatouille corrects this idea well - Not everyone can become a great artist, but a great artist can come from anywhere.