听众问答:关于偶数与整数一样多和0.9循环不等于1的一个“证明” episode artwork

EPISODE · Jan 22, 2022 · 11 MIN

听众问答:关于偶数与整数一样多和0.9循环不等于1的一个“证明”

from 大老李聊数学(全集)

本期回答的两个问题:1. 为什么正整数集与正偶数集是相等的呢?按对应关系来说1对应2,2对应4……都能一一对应,这个我不太认可,这个属于“人为选择实验数据”了。为什么不是4对应2,8对应4……,这样对应也是全能对应,正整数集还富裕很多数呢。究竟数学上是怎么算出的两集相等呢?按什么规则来判断的呢?2. 关于0.9循环不等于1的一个“证明”,错在哪里?喜马拉雅FM:https://www.ximalaya.com/keji/6310606/  (欢迎加入Ximi团)微信关注:dalaoli_shuxue B站: https://space.bilibili.com/423722633 知乎:https://zhuanlan.zhihu.com/dalaoli-shuxue/ 电邮 :[email protected]   

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听众问答:关于偶数与整数一样多和0.9循环不等于1的一个“证明”

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