Consequentia mirabilis, a classical logic principle, asserts that if the negation of a statement leads to a contradiction, the original…
A robust form of reductio ad absurdum, it proves a proposition P by demonstrating that its negation ¬P leads to…
Classical logic, founded on bivalence, non-contradiction, and excluded middle, is the traditional system for propositional and predicate logic. It forms…
Boethius' theses are two formulas in propositional logic: (A → B) → ¬ (A → ¬ B) and (A →…
Bivalence asserts that every proposition is definitively either true or false, a cornerstone of classical logic. It excludes the possibility…
Aristotle's theses, specifically ¬(¬A → A) and ¬(A → ¬A), are key formulas in propositional logic. They are theorems in…
Aristotle's traditional logic, a foundational system in Western thought, centers on syllogisms and the principle of non-contradiction. It provides a…