You have hit on my pet peave here..lol NO! Please do not remove the dewclaws! Why would you? Some idiot vet that knows nothing of the breed, or some well intending person is saying "they may catch on something and get torn"..  So let me give you some facts from the other side of the coin and you decide.
First off, double dew-claws are an indication of a pure-bred. Second off they have a purpose. The experts are not sure what they are but Im going to offer my opinion here. They help stablize the foot when they push off from something or make a wider foot for tramping through the snow (remember your dogs history, they are a mountain dog and a working dog). Second off, removing the dew claws is a major surgery. And your dog will go through a lot of pain. And thirdly, I have raised strictly Pyrs for 20 years now and have yet to see one torn and my dogs are working dogs.
Hope this input helps you decide.
Jackie
I'm with Jackie 110% here!!!!....I made the mistake that I regret daily of having Samson's hind dewclaws removed at the advise of my vet...IT IS NOT A SIMPLE SURGERY!!!!...Samson ended up with EIGHT stitches on each foot & I don't mean tiny little stitches either!!!...The site was huge!!!...My brother called him "Frankendog"
It was truley horrendous!!!...I only wish I'd taken pictures but, when I saw what I had done to my poor baby, I just wanted it to go away!!!!!!!!!!!...The dewclaws on a Great Pyr are more attached & a bony protrubance...
They aren't just hanging there!...Ann saw what it looked like because I was so upset I took him over to her house & I will ask her to chime in here on what she saw...Dewclaw removal should never be done after a pup is 3 days old as before that (they say) the central nervous system is not developed enough for th pups to feel it...Same theroy as a male child's circumcision..
.PLEASE please do not do this Dyson...I promise, if you do, you will regret it.