Provability logic, a subset of modal logic, explores the formal properties of provability. It uses modal operators to express concepts…
The philosophy of logic explores the fundamental nature, assumptions, and implications of logical systems. It scrutinizes the very tools we…
An open formula in a formal language is an expression with unbound variables. Its truth value depends on the specific…
An object language is the system or language under examination. It's distinct from the metalanguage, which is used to discuss…
Modal logic is a branch of logic that formally explores concepts like necessity, possibility, and obligation. It uses modal operators…
The minor term is the subject of the conclusion in a syllogism. It's one of the three key components, alongside…
The middle term connects the major and minor terms in a syllogism. It appears in both premises but is excluded…
In philosophy, 'mention' refers to discussing a word or phrase as a linguistic entity, separate from its meaning. This is…
The major term is the predicate of the conclusion in a syllogism. It is crucial for determining the subject and…
The major premise is a foundational element of a syllogism, containing the major term. It sets up the relationship that,…