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Lawrence D’Oliveiro
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Comments by "Lawrence D’Oliveiro" (@lawrencedoliveiro9104) on "Music And Measure Theory" video.
6:19 But that already applies to the trivial solution, doesn’t it? Since the open interval doesn’t include its endpoints, its length must be strictly less than the distance between those endpoints. Therefore the open interval (0, 1) has a length infinitesimally, yet strictly, less than 1. QED. So what the rest of your construction is doing is proving that the length can be even less than that.
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