Final answer:
The most important logical appeal in Thomas Paine's Common Sense is logos (logical appeal), where Paine uses rational arguments and credible evidence to appeal to his readers' intelligence.
Step-by-step explanation:
In my opinion, the most important logical appeal in Thomas Paine's Common Sense is logos (logical appeal). Paine appeals to his readers' intelligence by presenting rational arguments and supporting them with critical thinking and credible evidence. For example, he uses facts and statistics to create logical appeal when he argues that the American colonies have nothing to gain from continued association with Britain. Paine also states his position clearly and uses easy-to-understand language to appeal to his audience's intelligence.