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Holocene
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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?
Werg22 said: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)Holocene said: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".JasonRox said: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)
Infinity minus infinity is a mathematical expression that represents the result of subtracting one infinite value from another. It is often used in discussions about the concept of infinity and its properties.
No, infinity minus infinity is not always equal to zero. In some cases, it may result in zero, but it can also result in other values such as infinity or undefined.
Yes, infinity can be subtracted from infinity. However, the result of this subtraction may vary depending on the type of infinity being used and the mathematical context in which it is being used.
Infinity minus infinity is undefined because it violates the rules of arithmetic. In traditional arithmetic, any number subtracted from itself results in zero. However, infinity is not a number and does not follow the same rules.
There are different types of infinity, such as countable and uncountable infinity, and they can affect the result of infinity minus infinity. For example, subtracting an uncountable infinity from another uncountable infinity may result in an undefined value, while subtracting a countable infinity from an uncountable infinity may result in an uncountable infinity.