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Use "protreptic" in a sentence
"The “protreptic” mode is that which convinces hearers, singly or in groups, to care about philosophical study as a means toward personal ethical development."
"Plato's attempt to argue for the split between the intelligible and sensible world in Books VI and VII of the Republic may well be a protreptic directed at Archytas, who refused to separate numbers from things."
"Book One, On the Pythagorean Life, has biographical aspects but is primarily a detailed description of and a protreptic for the Pythagorean way of life."