What did the philosophers of the enlightenment seek to understand

   The natural rights governing human behavior and society

Explanation:  Enlightenment philosophers believed that natural rights governed people and their behavior, relationships, and society. As advocates of religious tolerance, they were not for religious dogma and unchallenged teaching of the Church. They felt that everything should be subjected to human analysis and reason, and solutions should be adopted on the basis of reasoning and inquiry, not on the basis of an unreserved belief in dogmas.

That is why the human reason is put at the center of human interest as the best way to study the natural rights that are inherent to all people. Natural rights are the initiator and guarantor of all other rights to life, liberty, happiness, arising from natural rights. The Enlightenment philosophers encouraged people to be courageous, to use the reason, without fear, to understand the causes of all phenomena in society.

According to them, they will best understand all relationships between people, government, mutual relations if they understand natural rights.

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i hope this your understandings.