Passage: Western atheism has its roots in pre-Socratic Greek philosophy, but atheism in the modern sense was nonexistent or extremely rare in ancient Greece. Pre-Socratic Atomists such as Democritus attempted to explain the world in a purely materialistic way and interpreted religion as a human reaction to natural phenomena, but did not explicitly deny the gods' existence. In the late fifth century BCE, the Greek lyric poet Diagoras of Melos was sentenced to death in Athens under the charge of being a "godless person" (ἄθεος) after he made fun of the Eleusinian Mysteries, but he fled the city to escape punishment. Later writers have cited Diagoras as the "first atheist", but he was probably not an atheist in the modern sense of the word.A fragment from the lost satyr play Sisyphus, which has been attributed to both Critias and Euripides, claims that a clever man invented "the fear of the gods" in order to frighten people into behaving morally. This statement, however, originally did not mean that the gods themselves were nonexistent, but rather that their powers were a hoax. Atheistic statements have also been attributed to the philosopher Prodicus. Philodemus reports that Prodicus believed that "the gods of popular belief do not exist nor do they know, but primitive man, [out of admiration, deified] the fruits of the earth and virtually everything that contributed to his existence". Protagoras has sometimes been taken to be an atheist, but rather espoused agnostic views, commenting that "Concerning the gods I am unable to discover whether they exist or not, or what they are like in form; for there are many hindrances to knowledge, the obscurity of the subject and the brevity of human life."The Athenian public associated Socrates (c. 470–399 BCE) with the trends in pre-Socratic philosophy towards naturalistic inquiry and the rejection of divine explanations for phenomena. Aristophanes' comic play The Clouds (performed 423 BCE) portrays Socrates as teaching his students that the traditional Greek deities do not exist....

Question: how did sextus empiricus have a long impact on later philosophers?
His relatively large volume of surviving works