LATIN DICTIONARYLexicon Latīnum
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“discursive” in Latin

The English word discursive itself goes back to Latin discurrō, through discursus.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

discursive
Roving, etc., instabilis: vagus, etc.
Argumentative; proceeding from premises to conclusions, ratiocinativus (Cic., Quint.). The discursive faculty, ratio: *ea animi pars, qua colligitur aliquid per aliud (after Quint., 5, 10, 11). ☞ Not argumentosus, which is “rich in materials,” etc.; argumentosum opus, Quint.

Quick answer

What is the Latin word for discursive?
The usual Latin words for “discursive” are īnstabilis, vagus, ratiōcinātīvus; also ratiō. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.