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Does subtracting infinity from infinity leave you with zero?
Or could you subtract infinity from infinity and still have infinity?
Or could you subtract infinity from infinity and still have infinity?
You can't subtract but you can add infinity from infinity.Subtracting infinity from infinity has no mathematical meaning. Unless we are talking about limits and orders of magnitude.
What "infinity" are you talking about? What notion of subtraction are you talking about? Your question really cannot be answered unless these are specified. (Though we can guess at what you meant, in order to give an answer)Does subtracting infinity from infinity leave you with zero?
Or could you subtract infinity from infinity and still have infinity?
But, in order to do that, you have to be talking about "cardinal numbers", not the regular real numbers- which I'm pretty sure is what the OP was talking about. "Infinity", in any sense, is not a real number and so neither addition nor subtraction (nor, for that matter multiplication or division) is defined for "infinity".You can't subtract but you can add infinity from infinity.
Let N be the natural numbers and R be the real numbers. And card(X) denote the cardinality of X.
card(R) + card(N) = card(R)
card(N) + card(N) = card(N)