Formal logic is the study of inference based solely on logical form, disregarding the interpretation of terms. It focuses on…
A formal language is a set of strings built using specific rules. It's crucial in mathematics, computer science, and logic…
A formal fallacy is a flaw in the structure or form of an argument, distinct from errors in its content.…
A formal consequence is a conclusion derived solely from the logical form of propositions, independent of their content. It contrasts…
A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships between individuals, properties, and relations, forming the foundation…
A theory is finitely axiomatizable if it can be completely defined by a finite collection of fundamental statements or axioms.…
A finitary formal system uses only finite operations, proofs, and expressions. It relies on objects constructible in a finite number…
Erotetic logic is the formal study of questions. It examines question structures, their logical relationships with answers, and the principles…
A specialized field of modal logic focusing on formalizing reasoning about knowledge and belief. It uses modal operators to represent…
An elimination rule in logic simplifies formulas by removing connectives or quantifiers. It's crucial for deriving conclusions from premises, forming…