The strength of a magnetic field (as with anything else which spreads out evenly in 3 dimentions) operates on an inverse square proportion. As you halve the distance to the origin of the magnetic field, you quadruple the strength of the field. But as you can only take a fraction of the total distance, you can never reach the origin and the strength of the field continues to increase. Surely this would result in a magnetic field of infinite strength, the closer you go? Or if it does not then why is this so?

This argument can also be applied to other things, for example gravitational attraction. if this was so, then every mass point in the universe would instantly collapse into a black hole of infinite strength. Thankfully, this does not happen. however, why does it not?

Any opinions welcome