Infinity is an adjective used to describe any number whose magnitude is larger than that of all finite numbers. Infinity represents something that is boundless or endless, or else something that is larger than any real or natural number. It’s the second transfinite cardinal number, and our first example of a bigger infinity than the ℵ 0 infinity we know and love. Infinity (symbol: ∞) is a concept describing something without any bound, or something larger than any natural number. It is often denoted by the infinity symbol ∞.. ex) infinity plus one is still equal to infinity There are a number of different kinds of infinity. So at last we have finally found a larger infinity than ℵ 0! Perhaps not surprisingly, this new infinity—the cardinality of the set of real numbers ℝ—is called ℵ 1. For example, in modern mathematics, a line is viewed as the set of all its points, and their infinite number (the cardinality of the line) is larger than the number of integers. 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