I don't really understand this. "Infinity" just means without finite quantity, doesn't it? I can, theoretically, count for infinity - there are no end to the th

I don't really understand this. "Infinity" just means without finite quantity, doesn't it? I can, theoretically, count for infinity - there are no end to the theoretical numbers. If I can prove a value can be reduced arbitrarily close to a limit, we can say something is equal to that limit for any finite resolution (for any resolution of "closeness to the limit" there is a precision in the calculation capable of delivering within that resolution) Hence, I can say "F(x) = 3 for any finite resolution", so if no infinities exist, then none are needed for mathematics. They are a calculation artifact that represents a single function over arbitrary levels of resolution.