this post was submitted on 02 Oct 2025
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In the end it depends on your definition of "bigger". Traditionally, we use "bigger" to just refer to who has the highest number or count, but neither apply here.
Imagine we have a straight line of skittles. Lines with more are defined as "bigger". Now imagine the line is expanded into another dimension, a square. Is it still "bigger"? Each line has the same count, so it's traditional "bigness" value is unchanged..
The sizes of infinities are about set theory, and including more "dimensions" of number. Not really about which has "more" or "grows faster". Your even v all integers is actually a classic example of two same-size infinities E.g. an infinite stack of one dollar bills and one of ten dollar bills are worth the same