Propositional connectives, also known as logical connectives, are fundamental symbols in logic. They combine simple propositions to form complex ones,…
A proposition is a declarative statement that can be true or false. It's the fundamental building block of logical reasoning,…
An alternative to truth-condition semantics, proof-theoretic semantics emphasizes the role of proof in understanding meaning. It focuses on how propositions…
Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on the structure of proofs within formal systems. It…
Proof theory is a branch of mathematical logic focused on the structure and properties of mathematical proofs. It formalizes reasoning,…
A method of mathematical proof where a statement is divided into several exhaustive cases. The statement is then proven to…
A logical or mathematical argument that demonstrates the truth of a statement or theorem. Proofs rely on axioms, definitions, and…
Probability logic extends classical logic to manage uncertainty. It uses probabilistic elements to represent degrees of belief or likelihood, offering…
The principal connective, also known as the dominant connective, is the logical operator that governs the overall structure of a…
A standardized structure for first-order logic where all quantifiers (universal and existential) are moved to the beginning of the formula,…