Stoic logic

Stoic logic is an ancient Greek system that analyzes propositions and the ways they combine into arguments. It includes a propositional logic distinct from Aristotle’s emphasis on terms and categories.

Proposition: A declarative statement that can be true or false. Stoic analysis begins with complete statements rather than isolated terms.
Indemonstrable argument: A basic valid argument form treated as requiring no proof from simpler forms. These foundational patterns anchor the Stoics’ account of propositional inference.
Chrysippus: A third-century BCE Stoic philosopher renowned for developing Stoic logic and doctrine. His extensive logical writings made him the school’s most influential logician.
Aristotelian logic: The logical system associated with Aristotle, centered chiefly on terms, categories, and syllogisms. Its term-centered syllogisms contrast with the Stoics’ focus on whole propositions.
Medieval logic: The study and development of logic by medieval scholars, especially in Latin and Arabic traditions. Ancient Stoic ideas reached medieval debates through selective transmission and reinterpretation.
Logical connective: An expression that combines or modifies propositions to form more complex propositions. Connectives determine how Stoic compound propositions relate their component statements.
Modus ponens: An argument form that affirms a conditional’s antecedent to infer its consequent. It is the first of the traditional Stoic indemonstrable argument forms.
Zeno of Citium: A Greek philosopher who founded the Stoic school in Athens around the early third century BCE. The school’s early framework began with Zeno, before Chrysippus systematized its logic.
Megarian school: An ancient Greek philosophical school known for dialectical puzzles and work on logic and modality. Megarian dialecticians supplied close interlocutors and influential ideas for Stoic logicians.
History of logic: The study of the development of logical theories, methods, and institutions across history. Stoic logic is a major ancient alternative to Aristotelian accounts in this history.

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