Sometimes people (including me) say it "goes on and on" which sounds like it is growing somehow. The Concept of 1 First the value of the whole number 1 as it compares to 0 is infinit… “Googolplex”. Perhaps not surprisingly, this new infinity—the cardinality of the set of real numbers ℝ—is called ℵ 1. “Noooo”, he said, “It’s a number larger than infinity”. There's only one and that's infinity, right? The symbol for infinity is ∞, a horizontal 8. Although it has no width, it contains an infinite number of points. Infinity does not grow. The concept of infinity is just a general concept, and the real mathematics is the study of transfinite numbers. Infinity is an adjective used to describe any number whose magnitude is larger than that of all finite numbers. Infinity is well, infinite, so it never finishes. Wrong. I am most ready to listen to rebuttal but please hear me out. It was invented by John Wallis (1616–1703) who could have derived it from the Roman numeral M for 1000. So at last we have finally found a larger infinity than ℵ 0! So a transfinite number is one that's beyond the finite. Is there a largest number? It turns out there are many transfinite numbers. What is infinity plus infinity? Numbers Bigger Than Infinity The prefix "trans" means "beyond". What is infinity plus one? What is infinity? “Daddy, what number is bigger than infinity?” “Nothing”, I replied. “Yes there is”, he said. I am not convinced there is a number larger than the whole number (∞). “Nooooo”, I said to him. So I looked towards my wife and she confirmed it is in fact a number. 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. No, there isn't a number bigger than infinity. Is there anything bigger than infinity? “A Google-plex is the name of the Google headquarters”. Infinity is not a real 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. Take a one dimensional line as an example. Most people have sort of an intuitive idea of what infinity is - it's a quantity that's bigger than any number. Infinity is not a number; it is the name for a concept. It’s the second transfinite cardinal number, and our first example of a bigger infinity than the ℵ 0 infinity we know and love. But infinity does not do anything, it just is. Infinity is not a real number, it is an idea.