The syllogistic logic of Aristotle as developed by Boethius in the Middle Ages WordNet 3.0 & Open English WordNet

In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. Wikipedia

An approach to logic that began with Aristotle and that was dominant until the advent of modern predicate logic Wikipedia Disambiguation

An approach to logic that splits propositions into two terms—subject and predicate. Wiktionary