Final answer:
The Haitian Revolution was influenced by the Enlightenment ideals of liberty and popular sovereignty expressed in the Declaration of the Rights of Man, aligning most closely with the philosophy of Jean-Jacques Rousseau.
Step-by-step explanation:
The Haitian Revolution was greatly influenced by the Enlightenment principles of liberty, equality, and the sovereignty of the people, as reflected in the passage from the Declaration of the Rights of Man and of the Citizen. Among the thinkers listed, Jean-Jacques Rousseau is the most aligned with these ideas. Rousseau challenged the divine right of kings and advocated for the concept that sovereignty resided in the general will of the people, an idea directly echoed in the declaration. His perspectives underpin the Haitian Revolution's fight against slavery and colonial oppression, as the revolutionaries sought to apply the ideals of equality and popular sovereignty to their own struggle for freedom and autonomy.