A coastline may be infinitely long (coastline paradox) but the area of the ocean is not infinitely large.
Just think about it this way: go close to the coastline while still being 100% certain you are on land. No matter how precise (and therefore long) you measure the coastline, the area of the ocean can never be larger than the area inside of your 100% on land line.
A coastline may be infinitely long (coastline paradox) but the area of the ocean is not infinitely large.
Just think about it this way: go close to the coastline while still being 100% certain you are on land. No matter how precise (and therefore long) you measure the coastline, the area of the ocean can never be larger than the area inside of your 100% on land line.
Thanks for mostly getting the joke.