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from Part I - Let’s Be Independent
Published online by Cambridge University Press: 28 September 2020
There is a natural order on the cardinals, induced from the ordinals. So, for example, 0 < 1 < 2 < … < ω < ω1. Notice that the order on the cardinals can also be defined by saying that κ < λ if there is an injection from κ to λ but not the other way around.
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