[[Aristotle]] was the first to formalize the practice of reasoning. In particular, Aristotle developed a formalization of the [[syllogism]] and the Square of Opposition. While Modus ponens and its complement [[Modus tollens]] were known to the Medievals, it is not clear when these central laws of deduction were first formalized. | [[Aristotle]] was the first to formalize the practice of reasoning. In particular, Aristotle developed a formalization of the [[syllogism]] and the Square of Opposition. While Modus ponens and its complement [[Modus tollens]] were known to the Medievals, it is not clear when these central laws of deduction were first formalized. |