Renders insensible is a phrase that means to cause a person to lose consciousness or to become numb to a particular pain or emotion. Synonyms for this phrase include anaesthetize, desensitize, numb, deaden, stun, and paralyze. Anaesthetize refers specifically to the use of drugs to induce loss of feeling or consciousness. Similarly, desensitize refers to the process of gradually making a person less responsive to a particular stimulus. Numb, deaden, stun, and paralyze all refer to the loss of sensation or mobility in a person's body or emotions. Overall, these synonyms all describe a state of being cut off from one's senses or emotions.