Natural deduction is a system of logical inference that aims to emulate human reasoning. It uses introduction and elimination rules…
Monotonic logic ensures that adding new information never invalidates existing conclusions. This property guarantees that derived truths remain valid as…
Model-theoretic consequence is a fundamental concept in logic, defining logical implication through the interpretation of formulas in models. It ensures…
A model in logic and mathematics interprets the symbols of a formal language, satisfying the axioms and theorems of a…
Modal logic is a branch of logic that formally explores concepts like necessity, possibility, and obligation. It uses modal operators…
The middle term connects the major and minor terms in a syllogism. It appears in both premises but is excluded…
A metatheorem is a theorem that describes properties of a formal system, such as consistency or completeness. It operates on…
The major term is the predicate of the conclusion in a syllogism. It is crucial for determining the subject and…
A specialized field of logic focusing on the properties, composition, and inversion of relations, and their interplay with logical operators.…
Erotetic logic, also known as the logic of questions and answers, formalizes the study of interrogatives and their answers. It…