What exactly do you mean by "will not even start"? What exactly happens?
Have you tried deleting Zotero from Applications and reinstalling from the download page? (6.0.8 also isn't the current version, so something seems to be preventing you from receiving automatic updates.)
If it still happens after that, can you look for a crash report in the Console app and paste in the first 100 or so lines?
What exactly do you mean by "will not even start"? What exactly happens?
Have you tried deleting Zotero from Applications and reinstalling from the download page? (6.0.8 also isn't the current version, so something seems to be preventing you from receiving automatic updates.)
If it still happens after that, can you look for a crash report in the Console app and paste in the first 100 or so lines?