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First, infinity is not a number. Imagine a variable with no formula around it to find out its value. Can you calculate with it? NO! Infinity is like that; it is not a number, ever. Ordinal infinities don't work either. If we get rid of all "infinities", the biggest number that is considered as "number" is the Large Number Garden Number. But its definition is still on verification. So if not considering the Large Number Garden Number, the current biggest number is BIGFOOT. And you might wanna completely disclude an ill-defined number. In that case, the biggest well-defined number is infinite-time Turing machine function's values. If you only consider computable numbers (computable=able to get the result by running a computer), the biggest number is something little bigger or smaller than the Y-sequence number.

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plutfuse

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4y ago

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