Removing Remains of a Broken Light Bulb

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This weekend I tried to remove a dead lightbulb from my ceiling fan and it was so brittle, it shattered in my hand.  Now the base of the light bulb is basically stuck in the socket and I don't know how to get it out.  I thought about using pliers, but what part of the bulb am I supposed to grab onto?  The filament (?) is glass and too delicate.