There are several synonyms that can be used to replace the term "refuse to consider." One such term is "reject," which means to refuse to accept, believe, or consider something. Another term that can be used is "disregard," which means to ignore or pay no attention to something. A third option could be "dismiss," which means to reject or refuse to consider something as being worthy of attention or action. Other possible synonyms could include "discard," "turn down," or "spurn." Ultimately, the choice of synonym will depend on the specific context and meaning being conveyed in the sentence or phrase.