As part of the new notification Center in iOS 5, you're given many great customizable features, such as disabling badge notifications. One of the inconsistencies of the new notification Center is that when you clear something off of the notification Center list, the badge on the app icon remains there until you open the app. Whether this is a simple oversight on Apple's part or if there's another explanation, it's can be very frustrating. Have you disabled badge notifications on your iOS 5 device? What is your notification Center set up like? Do you have it organized by time or by the organization?