Number 19 is a clinker. Banach-Tarski applies only to objects in real-number space, but there are no such objects. For that to work, objects have to be infinitely divisible, but all of our objects are made out of atoms.
Real-numbered space is a good enough approximation to our experience that we hardly ever encounter a model failure like this one.
Real-numbered space is a good enough approximation to our experience that we hardly ever encounter a model failure like this one.