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← Mathematics: stupid and clever questions for people who understand

delToro87's Avatar Jump to comment 12 by delToro87

Comment 9 by godzillatemple :

How can you possibly have "orders" of infinity? Infinity is not an actual number -- it's a concept that means that there is no end to numbers. So how can you multiply infinity times itself in the first place, and how could the result be anything other than infinity in the second place?

Believe it or not, there are different sizes of infinity! For example, the set of all integers and the set of all real numbers both have infinite cardinalites, but the cardinality of the reals is greater than that of the integers. There are in fact an infinite number of sizes of infinity, the question is - which size of infinity is there an infinite size of infinities?

Mon, 07 May 2012 23:32:57 UTC | #940451