Final answer:
The Federalist Papers, no. 10, by James Madison, discusses how the Constitution manages the threat of organized interests while preserving liberty by allowing factions to flourish and compete against one another.
Step-by-step explanation:
The discussion of how the Constitution balances the threat posed by organized interests with the need for liberty is addressed in the Federalist Papers, no. 10. In this particular paper, James Madison outlines the dangers of factions, which are essentially groups of individuals who come together to protect and promote their economic and political interests. Madison believed that the best way to handle the threat of factions was not to limit them, as that would infringe on individual freedoms, but to allow a multitude of factions to flourish and compete, thus providing a system of checks and balances within society itself. He argued that the large number of different interests would naturally control each other's influence.
In Federalist No. 10, Madison highlighted that one of the Constitution's strengths is establishing a government capable of controlling the negative impacts of factions. Madison elucidated that while factions may work against the public interest and infringe upon the rights of others, they are a natural outcome of liberty, and the extended republic under the Constitution would help prevent any single faction from gaining too much power.