: Is the smallest infinity really working on the same principle as the biggest infinity?
In: Mathematics
OP, while infinities can be arranged according to “size” in a sense, you’ll have to explain what you mean by “working on the same principles”
There isn’t actually a “small” and “large” infinity. In fact, there isn’t a range of infinity. Infinity is not a number, but more of a concept.
Infinity means that something goes on forever, there is no end. You can always count one number higher or travel one inch further in space. If there was a limit, then it wouldn’t be “infinite”.
While we can give a meaning to the expression “the smallest infinity” (in terms of cardinality, it would be ℵ_0, the cardinality of natural numbers), I’m pretty sure that there is no reasonable way to define what the “biggest infinity” is.
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