What is a truth functional connective?

A sentence joined by a connective is a \emph{constituent}. For example, consider the sentence 'P because Q': P is a constituent of this sentence. A \emph{truth functional connective} produces a new sentence whose truth value depends only on the truth values of its constituent sentences. read more

Classical propositional logic is a truth-functional propositional logic, in that every statement has exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every compound statement is a truth function. read more

Chapter 2: Truth-Functional Connectives 33 By way of concluding this section, we introduce terminology that is often used in sentential logic. Simple statements are often referred to as atomic statements, or simply atoms, and by analogy, compound statements are often referred to as molecular statements, or simply molecules. read more