Using Black Holes to Understand IFINITY

black holes are a marvel in this spectacular universe of ours; a manifestation of infinity.
a while back, they only existed on paper in the form of numbers.

image source : google.com

black holes are black because they have infinite density at their cores, not even light can escape once it crosses the event horizon.

density of black holes = D = ∞

also,

D = mass/volume = m/v

∞/1 = m/v

comparing gives;

m = ∞ and v = 1

now if the density of black holes is infinite (which it most probably is), then it's mass per unit volume must be infinite (makes sense).

now, there is another way of stating the above.for the black holes to be infinitely dense, they can have a definite mass (say a unit mass) per negligible volume (like zero volume).

D = m/v = ∞

∞ = 1/0

and we have found another expression for infinity, we can also use this method to calculate that:

∞ = ∞/0 where ∞ ≠ ∞ infact ∞ > ∞

note that infinity represents an unimaginably large value and two distinct values can also be unimaginably large.

the point of this article is to demonstrate that the statement 'any number divided by zero results in infinity' is true.