To what extent did the enlightenment philosophers influence the french and american revolutions?

The American Revolution: The Enlightenment ideals had a major impact on The American Revolution. You may be familiar with the phrase, "life, liberty, and the pursuit of happiness," taken from the United States Declaration of Independence. These concepts were rooted in Enlightenment thinking. American statesmen drew on the ideas of John Locke and Baron Montesquieu to gain independence from their British colonizers and to develop their own unique form of a democratic-republic.

French Revolution: The American revolutionaries' founding documents, strongly influenced by John Locke and other Enlightenment philosophers, awoke in the French a hopeful yearning for freedom. French revolutionaries borrowed heavily from the U.S. Declaration of Independence and the U.S. Constitution when crafting their own declaration and design of freedom.  

deists, human beings can know god only via reason and the observation of nature, but not by revelation or by supernatural manifestations

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