Might mean (unverified): Logical reasoning through deductive inference.
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We found 2 dictionaries that define the word syllogismus:

General (1 matching dictionary)
  1. syllogismus: Wiktionary

Art (1 matching dictionary)
  1. Silva Rhetoricae: The Forest of Rhetoric (No longer online)

Definitions from Wiktionary (syllogismus)

noun:  (rhetoric) Omission of the conclusion of a syllogistic argument.

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