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army1987 comments on What was your biggest recent surprise? - Less Wrong Discussion
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The number of parameters you need to label each element (provided the labelling is a continuous function, otherwise you can label points of R^2 with a single parameter e.g. (3.1415..., 2.7182...) -> 32.174118...)
To make this precise, you need the idea of "charts" and "atlases" that witzvo references.