The phrase "to accept this assumption" means to agree or agree to believe a certain idea or statement without requiring strong evidence or proof. Full definition
Global warming due to overpopulation accepts the assumption that human addition of CO2 to the atmosphere is the cause and more people will produce more CO2. (drtimball.com)
As a marriage therapist and couples workshop presenter, I do not expect or insist that my clients accept this assumption. (principleskills.com)
Creating juxtapositions that are at times disorienting, playful, and unexpected, these artists engage with the uncertain and plumb accepted assumptions of meaning in art. (art21.org)