4 ms·
Is the set of all odd numbers smaller than the set of all even and odd numbers together? If not, then if you were to merge the set of all even numbers to the se
by xtagon 4y ago
Is the set of all odd numbers smaller than the set of all even and odd numbers together? If not, then if you were to merge the set of all even numbers to the set of all odd numbers, did you really merge anything since the set didn't grow?
- syzarian 4y agoIntuition tends to breakdown when dealing with infinite sets. This is especially true for uncountable sets. Instead thinking about enlarging or merging sets think of indexing things. The odd numbers can index in a unique way just as many things as the set of all integers.