I don't quite understand why it is you don't believe a LED can be dimmed?
As mentioned before: The led will be brighter with a higher voltage, dimmer at a lower voltage, therefore, if you put a larger resister in series, or a variable resister, then this would accomplish the task.
If you've ever charged a battery on a submarine you'd see this in action. As the battery voltage goes up, the LED's get brighter and brighter... Then you secure the charge, and the lights get dimmer as voltage drops.