In the context of the text, Burke means "uncivilized" or "primitive" by the word "rude" in the first sentence of paragraph 2.
He is referring to the state of society before the establishment of government and laws, where individuals were free to act as they pleased without regard for the common good or the rights of others.
This understanding of "rude" is important to Burke's argument that society is a complex organism that requires careful cultivation and preservation, rather than a simple collection of individuals pursuing their own interests
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Infer What does Burke mean by rude in the first sentence of paragraph 2?