Why dose Madison say that "Liberty ... is essential to [factions] existence" lines (44) ? Why dose he put forth the idea of destroying liberty to remove faction?

Madison begins perhaps the most famous of the Federalist papers by stating that one of the strongest arguments in favor of the Constitution is the fact that it establishes a government capable of controlling the violence and damage caused by factions. Madison defines factions as groups of people who gather together to protect and promote their special economic interests and political opinions. Although these factions are at odds with each other, they frequently work against the public interest, and infringe upon the rights of others.