A question about infinity

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If I take infinity and subract one from it,then I'll get infinity, but what if i take that result and subtract one again and I repeat that process an infinite number of times. Shouldn't I get infinity. but isn't that equal to $\infty-\infty $ which isn't defined?

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Infinity isn't a number. You can't add or subtract it, and you can't subtract something from it either.

It is a concept involved in the notion of limit, which is more subtle than you think, because you can tend to infinity at very different speeds.

It is also involved in counting the number of elements in a set, but then again there are many different sizes an infinite set can be, and you still need to be careful when manipulating them.