in math the coastline of britain can be defined as X in this logarithmic function. the more precise measurements we take, the closer the measusurement will come to approaching X, but never precisely reaching it. in this you could say that the number with more precise measurements will infinitely approach X, but you can't say it's an infinite coastline, because bottom line no matter how precisely you measure it, the coastline of britain is never going to be 25,000 miles.