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crustfan comments on The Lifespan Dilemma - Less Wrong
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If you think [0,1] has fewer elements than [0,10], then how come each number x in [0,10] can find a unique partner x/10 in [0,1]?
It might seem unusual that the set [0,10] can be partnered with a proper subset of itself. But in fact, this property is sufficient to define the concept of an "infinite set" in standard axiomatic set theory.