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…
The Aristotelian comprehension schema, represented as (∃x)Φ → (∃Y)(∀x)(Yx ↔ Φ) in second-order logic, defines the existence of a property…
An antilogism is a syllogism with three premises that lead to a contradiction. It demonstrates the inconsistency of the initial…
The anti-extension of a concept or predicate includes all objects that do not fall under its definition. It's the complement…
Alethic modal logic explores modalities of truth, focusing on concepts like necessity and possibility. It provides a formal framework for…
A logical fallacy where an argument incorrectly assumes the antecedent is true because the consequent is true. It's a common…
An affirmative proposition asserts the truth of a statement, affirming a quality or relation. It contrasts with a negative proposition,…
The addition rule in formal logic allows inferring a disjunction from a single proposition. It states that if P is…
An accessibility relation in modal logic defines the connections between possible worlds in a model. It dictates which worlds are…