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<p>Do all infinite sets have the same size? For example, which set is larger, the natural numbers or the set of subsets of all of the natural numbers ({{}, {1}, {2}, {1,2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}, {4}, …})?</p>
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<p>Do all infinite sets have the same size? For example, which set is larger, the natural numbers or the set of subsets of all of the natural numbers ({{}, {1}, {2}, {1,2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}, {4}, …})?</p>