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|Noun||1.||logical system - a system of reasoning|
system of rules, system - a complex of methods or rules governing behavior; "they have to operate under a system they oppose"; "that language has a complex system for indicating gender"
Aristotelian logic - the syllogistic logic of Aristotle as developed by Boethius in the Middle Ages
formal logic, mathematical logic, symbolic logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity
extrapolate - gain knowledge of (an area not known or experienced) by extrapolating
induce - reason or establish by induction
elicit - derive by reason; "elicit a solution"