import a calendar .ics file into Reminders

I downloaded the Red Sox schedule into Calendar. I'd like to import it into Reminders for a variety of reasons. (I understand that I could just as well leave it in Calendar, but I have my reasons.) Anyway, I exported the .ics file to the desktop and then imported it into Reminders to a New List called Red Sox. But the list is empty. Any idea what's going on? Or is it not possible to import a calendar into Reminders?