Well, they're pretty if you have a farm ... lovely around the edge of a meadow full of grazing cows ... but in a garden they will spread and spread and spread and form a thick blanket and stop anything else from growing so yes, I dig them out.
“I am not lost, for I know where I am. But however, where I am may be lost.” Winnie the Pooh
Posts
http://www.aphotoflora.com/d_ranunculus_repens_creeping_buttercup.html
Digging out cause they are not desirable?