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Why do you need infinite space? The number line of real numbers is basically a 1d space, and we can simulate finite N dimensional spaces with finite real number
by ralusek 7y ago
Why do you need infinite space? The number line of real numbers is basically a 1d space, and we can simulate finite N dimensional spaces with finite real numbers.
- IanSanders 7y agoLet's say you want to represent 1cm*1cm 2d space in 1d. There is infinite number of points in both dimensions of this space. While you can completely represent one of its "slices" with a 1cm segment of 1d space, for a complete model you will need infinite number of 1cm segments stacked, thus requiring infinite 1d space.