Arity defines the number of arguments or operands a function, operation, or relation accepts. In logic, it specifies the number…
Aristotle's theses, specifically ¬(¬A → A) and ¬(A → ¬A), are key formulas in propositional logic. They are theorems in…
Aristotle's sea battle thought experiment delves into future contingents, questioning whether statements about the future are true or false now,…
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 antinomy presents a contradiction between two reasonable beliefs or conclusions, creating a paradox. It highlights the limits of logic…
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…
The antecedent is the 'if' part of a conditional statement, setting the condition that must be met for the consequent…
An analytic statement is true solely based on its meaning, like definitions or logical tautologies. It doesn't require empirical verification,…