logic

Truth-Value Glut

A truth-value glut arises in formal semantics when a theory assigns multiple truth values to a single sentence, often due…

5 days ago

Glivenko’s Theorem

Glivenko's theorem in logic connects classical and intuitionistic systems. It states that any formula provable in classical logic is also…

5 days ago

Generalized Quantifiers: Beyond ‘All’ and ‘Some’

Generalized quantifiers extend logical and linguistic expression beyond basic 'all' or 'some'. They enable nuanced statements about quantities like 'most',…

5 days ago

Geach-Kaplan Sentence

A sentence type probing philosophy of language and logic. It highlights issues of context-dependence, referential opacity, and the boundaries of…

5 days ago

Gap – Truth-Value Gap

A truth-value gap occurs when a statement lacks a definite truth value (true or false). This concept is crucial in…

5 days ago

Game-Theoretic Semantics

Game-theoretic semantics interprets linguistic meaning via games between verifier and falsifier. It focuses on the interactive process used to establish…

5 days ago

Free Variable Explained

A free variable in logic and mathematics is one not bound by quantifiers or assigned a specific value. It represents…

5 days ago

Understanding Formulas in Formal Languages

A formula is a true or false expression in a formal language. It uses variables and logical connectives to construct…

5 days ago

Formation Rules in Formal Languages

Formation rules define the syntax of a formal language, dictating how basic symbols combine to create valid, well-formed formulas. These…

5 days ago

Formal Semantics

Formal semantics explores the connection between formal systems, particularly in logic and linguistics, and their conceptual or referential meanings. It…

5 days ago