The injury has not completely severed your spinal cord and some neural circuits between the brain and body still exist! With incomplete paraplegia, you'll likely have some degree of sensation and/or movement control in the affected regions of your body.
The injury has led to being unable to use both legs and may experience other issues, such as a loss of bladder/bowel control. This is common with complete spinal cord injuries in the thoracic and lumbar regions of the spine.
An “incomplete quadriplegic” is different from a complete paraplegic in that they may still retain some function and/or sensation in their arms or legs. This may be the case with incomplete or "partial" SCI, some TBIs, and some inherited conditions that cause quadriplegia.
This is characterized by a complete loss of control over the arms and legs. This is a near-total form of paralysis where a person is wholly unable to move their extremities aside from their head.