Is infinity minus infinity zero?

From a layman's perspective, imagine that I have an infinite number of hotel rooms, each numbered 1, 2, 3, 4, ... Then I give ... Perhaps an uninteresting way of speaking about infinity, but one you surely will understand, the first one I was taught and which is at the level of Introductory Calculus. ..... That's infinity minus infinity. read more

At first, you may think that infinity subtracted from infinity is equal to zero. After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number. read more

Say your hotel has x rooms and x guests. x minus x is 0; it doesn’t matter whether x is 1, infinity, negative 5, or i; x/x = 1, so there is one guest per room (assuming x is a real, non-zero number). read more

No, infinity minus infinity is the empty product, the number one (infinity - infinity = zero * infinity = zero / zero = 1). read more