Categorical logics are a set of principles that deal with the relationships between categories and are used in mathematical contexts. Synonyms for categorical logics include category theory, which is the study of abstract mathematical structures and their relationships, and logical semantics, which deals with the meaning of logical expressions. Other synonyms include syntactic category theory, which is concerned with the structure of language, and philosophical logic, which examines the nature of truth and reasoning. Overall, the term categorical logics refers to a wide range of concepts and frameworks that are used to model complex problems in a logical and systematic way.