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RE: Infinity and Beyond - Part 2
Although I like the idea of this post I think you can explain it simpler since you are only considering countable infinity. Of course if you add a single element to something which is countable it will still remain countable.
Since the post is aimed at the layman and tries to lay the foundations of the mathematical idea of infinity I felt a thorough explanation/proof was needed. Also I would argue that it is not so obvious. When I first learned about this it took a bit of getting used to.
And psssst... your spoiling things. Just kidding. The next part of this series will be about uncountable sets and diagonalization. After all I haven't even introduced the name "countable infinity" yet, because so far we have only looked at one type of infinity.
I guess it is a matter of taste. But I do think that countability is a natural concept since it essentially corresponds to counting. Countability in a finite setting then gives rise to countability in an infinite setting.
@blackiris wrote a nice post about the basic concept of infinity. If you have free time check it out :) https://steemit.com/mathematics/@blackiris/lamentations-in-a-sanatorium
Well, the title of the post sure does sound promising! :D I will make sure to give it a read.
Thanks for your input! :)