
Hypophora, also referred to as anthypophora or antipophora, is a figure of speech in which the speaker poses a question and then answers the question. ==History== The word anthypophora is present in Ancient Greek and is mentioned by the Roman orator Quintilian in his book Institutio Oratoria. In Institutio Oratoria, Quintilian merely identifies an...
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http://en.wikipedia.org/wiki/Hypophora

statement of an opponent's probable but as yet unstated objection
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http://phrontistery.info/h.html

When a speaker asks aloud what his/her adversaries have to say for themselves or against the speaker, and then proceeds to answer the question
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https://en.wikipedia.org/wiki/Glossary_of_rhetorical_terms
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