The main difference between science and stage magic is that in science you make your mistakes in public. You show them off, so that everybody can learn from them--not just yourself. This way, you get the benefit of everybody else's experience, and not just your own idiosyncratic path through the space of mistakes. This, by the way, is what makes us so much smarter than every other species. It is not so much that our brains are bigger or more powerful, but that we share the benefits that our individual brains have won by their individual histories of trial and error. The secret is knowing when and how to make mistakes, so that nobody gets hurt and everybody can learn from the experience. It is amazing to me how many really smart people don't understand this. I know distinguished researchers who will go to preposterous lengths to avoid having to acknowledge that they were wrong about something--even something quite trivial. What they have never noticed, apparently, is that the earth does not swallow people up when they say, "Oops, you're right. I guess I made a mistake." You will find that people love pointing out your mistakes. If they are generous-spirited, they will appreciate you more for giving them the opportunity to help, and acknowledging it when they succeed, and if they are mean-spirited they will enjoy showing you up. Either way, you--and we all--win.
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