洪尚电影网剧情介绍:In passing from the rationals to the reals, we are moving from one set to another of higher cardinality as mathematicians put it. Two sets have the same cardinality if their members can be paired off,one against the other. What can be shown using the Cantor argument is that any set has a smaller cardinality than the set formed by taking all of its subsets. This is obvious fornite collections:indeed, in Chapter 5 it was explained that if we have a set of n members then there are 2n subsets that can be formed in this way. But how large is the set S of all subsets of the innite set of natural numbers,﹛1,2,3,﹜?…This question is not only interesting in itself but also in the manner in which we arrive at the answer, which is that S is indeed uncountable.相关影视:洪尚电影网