Final answer:
The term that best describes the use of logic, rationality, and critical reasoning to persuade intellectually is logos, which represents logical appeal.
Step-by-step explanation:
The term that best describes the use of logic, rationality, and critical reasoning to persuade, appealing to the mind and seeking to persuade the reader intellectually, is C. Logos. This mode of persuasion, also known as logical appeal, involves the deployment of facts, statistics, and sound reasoning to support one's position. It appeals to the audience's sense of logic and intelligence, encouraging them to consider the argument being presented based on credibility and rationality. For instance, authors might use clear and credible evidence or well-structured arguments to appeal to logos, steering clear of emotional appeals and focusing instead on logical explanations.