I know that all mails already have an inbox label applied, but I want the label exclusive of all my other filters. I want to be able to keep track of all emails that will not otherwise be labeled so that I can simple click on the other label and delete them all at once or view them collectively. Deleting one at a time is a drag. 
Can Gmail apply a default filter to a mail that otherwise has no other filter that will be applied?
gmail;gmail filters