Do Supreme Court Justices debate cases with each other?

Some justices would like the court to be doing even more: http://www.politicsdaily.com/2010/04/29/supreme-courts-right-wing-wants-more-cases/

It was mentioned in some of the articles on the retirement of Stevens that he has been filling that role

And yet several women said they were harassed by him. Clarence Thomas Supreme Court nomination - Wikipedia