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当同学们看到这个题目,可能会不假思索地说:错了吧!部分怎么会和整体同样多呢?大家都知道,偶数指的是2的倍数的整数,它是整数集合中的一部分。除了偶数以外,整数还包括奇数。照这样看下去,偶数的确应该没有整数多。但是,这个问题实质上问的是偶数集合与整数集合之间的大小关系。集合在数学上指的是一类事物的总称,如,把所有的整数放在一块儿就构成了整数集合,把所有的偶数放在一起就构成了偶数集合。那么,两个集合是如何比较大小的呢?事实上,集合包括有限集合和无限集合。所谓有限集合,就
When students see this topic, may say without hesitation: Wrong! How can the part as a whole? As we all know, even refers to an integer multiple of 2, which is part of the integer set. In addition to even numbers, integers also include odd numbers. As you can see in this way, there should be no even number of even numbers. However, this question essentially asks about the size relationship between even and integer sets. A collection refers to the general term for a class of things in mathematics. For example, putting all the integers together makes up an integer set, and putting all the even numbers together forms an even number set. So, how are the two sets relatively large? In fact, the set includes a finite set and an infinite set. The so-called limited set, on