“Nooooo”, I said to him. “Daddy, what number is bigger than infinity?” “Nothing”, I replied. Infinity is an adjective used to describe any number whose magnitude is larger than that of all finite numbers. “Yes there is”, he said. Is there a largest number? The concept of infinity is just a general concept, and the real mathematics is the study of transfinite numbers. What is infinity plus one? What is infinity plus infinity? Infinity does not grow. Infinity is not a number; it is the name for a concept. Infinity is not a real number. Numbers Bigger Than Infinity The prefix "trans" means "beyond". The Concept of 1 First the value of the whole number 1 as it compares to 0 is infinit… No, there isn't a number bigger than infinity. There's only one and that's infinity, right? It turns out there are many transfinite numbers. “A Google-plex is the name of the Google headquarters”. So a transfinite number is one that's beyond the finite. Wrong. Sometimes people (including me) say it "goes on and on" which sounds like it is growing somehow. It was invented by John Wallis (1616–1703) who could have derived it from the Roman numeral M for 1000. It’s the second transfinite cardinal number, and our first example of a bigger infinity than the ℵ 0 infinity we know and love. “Googolplex”. So at last we have finally found a larger infinity than ℵ 0! I am most ready to listen to rebuttal but please hear me out. “Noooo”, he said, “It’s a number larger than infinity”. Infinity is well, infinite, so it never finishes. Perhaps not surprisingly, this new infinity—the cardinality of the set of real numbers ℝ—is called ℵ 1. Take a one dimensional line as an example. Is there anything bigger than infinity? Infinity is not a real number, it is an idea. There exists infinite numbers that are odd, infinite numbers which are even, and infinite numbers which are not integers, and these latter values are not even and not odd. An idea of something without an end. What is infinity? Most people have sort of an intuitive idea of what infinity is - it's a quantity that's bigger than any number. Although it has no width, it contains an infinite number of points. I am not convinced there is a number larger than the whole number (∞). So I looked towards my wife and she confirmed it is in fact a number. Infinity is not "getting larger", it is already fully formed. But one thing we know for certain: infinity is a lot bigger than 1000. The symbol for infinity is ∞, a horizontal 8. But infinity does not do anything, it just is.

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