A person with an amputated arm is feeling phantom pain originating in the missing limb. Is it true or false that giving them a painkilling medicine like tylenol, which works on the central and peripheral nervous systems, would relieve their pain?

The answer is partly true.

Sometimes injecting pain-killing medications or local anesthetics can provide relief of phantom limb pain and it is minimally invasive therapy.

There is no medications specifically for phantom pain and no single drug works for everyone. Primary used drugs for treatment are antidepressants, narcotics, anticonvulsants ...