I had been struggling for two months to prove a result I was pretty sure was true. When I was walking up a Swiss mountain, fully occupied by the effort, a very odd device emerged - so odd that, though it worked, I could not grasp the resulting proof as a whole. But not only so; I had a sense that my subconscious was saying, 'Are you never going to do it, confound you; try this.

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Quote text and notes from Wikiquote: John Edensor Littlewood (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.