Archimedes paradox

Archimedes Paradox is a thought experiment created by the Ancient Greek mathematician Archimedes. It's a paradox because it shows that you can' really add up an infinite number of things.

Let's imagine that we have two jars, one filled with sand and the other filled with water. If we pour the sand from one jar into the other, the amount of sand in the water will increase. Now suppose we had an infinite (never-ending) amount of sand. When we pour it into the jar of water, the amount of sand in the water will become infinite too. But this doesn't make sense. It's impossible to have an infinite amount of something in a jar that isn't also infinite. This is the Archimedes Paradox.