Final answer:
Madison believed that a well-constructed government with checks and balances would safeguard liberty and ensure justice.
Step-by-step explanation:
In terms of Madison's hypothesis on the relationship between war and liberty, he believed that a well-constructed government, with checks and balances, would safeguard liberty and ensure justice. Madison argued that justice is the ultimate goal of government and a key aspect of civil society. His political theory was influenced by Montesquieu's ideas in 'The Spirit of the Laws.' Madison's belief in preserving liberty through a strong government contradicted the traditional principles of the Republicans.