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Argument sphere
From Debatepedia
According to Discovering the World through Debate, an "argument sphere" is "A community within which arguments are made" (246).
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"Works Cited"
Trapp, Robert, et al. Discovering the World through Debate: A Practical Guide to Educational Debate for Debaters, Coaches, and Judges. Third Edition. New York: IDEA Press Books, 2005.