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Also, there is no spacing defined in sets (like image and preimage) except N, Z, Q, R is used, which is not the case here because the (ordered) collection of ordinal numbers and limit ordinals do are neither existing nor defined on an equidistant scale (or row of points).ω is amidst the interval (0, ω2) because in the image there are as many ordinals in (ω, ω2) as in (0, ω).
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