argumentation

[ahr-gyuh-men-tey-shuhn]
noun
1.
the process of developing or presenting an argument; reasoning.
2.
discussion; debate; disputation: The lengthy argumentation tired many listeners.
3.
a discussion dealing with a controversial point.
4.
the setting forth of reasons together with the conclusion drawn from them.
5.
the premises and conclusion so set forth.
6.
argument ( def 5 ).

Origin:
1400–50; late Middle English argumentacioun (< Middle French) < Latin argūmentātiōn- (stem of argūmentātiō). See argument, -ation

argumentatious, adjective
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World English Dictionary
argumentation (ˌɑːɡjʊmɛnˈteɪʃən)
 
n
1.  the process of reasoning methodically
2.  argument a less common word for argument

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

argumentation
late 15c., "presentation of formal arguments," from Fr. argumentation (14c.), from L. argumentationem (nom. argumentatio) "the bringing forth of a proof," pp. of argumentari (see argue). Meaning "debate, wrangling, argument back and forth" is from 1530s.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
What you are referring to may be better known as debate and argumentation.
He does so in his book with good argumentation and solid mathematics.
All those who read these posts can learn what type of argumentation you prefer.
Several hours' of argumentation typically fails to resolve political disputes.
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