How to remove text previews from the lock screen in the iPhone 4?

So I just got an iPhone 4S, and discovered the most annoying feature to me is the fact that partial texts are shown on the lock screen.
For privacy reasons I do not at all want this. I don't mind being notified that I've gotten a text, but I don't want any portion of that new text to be visible until one enters the pass code.
I've tried playing with all the settings, but thus far nothing has removed this feature.
Please, someone tell me it is possible to get rid of this stupid feature?

Sadly, you can't.

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