Tag: computability

Provability Logic

Provability logic, a subset of modal logic, explores the formal properties of…

Bossmind
Bossmind

Monadic First-Order Logic

Monadic first-order logic simplifies first-order logic by using only predicates with a…

Bossmind
Bossmind

Metalogic: Understanding the Foundations of Logic

Metalogic explores the inherent properties of formal logical systems and languages. It…

Bossmind
Bossmind

Löb’s Theorem

Löb's theorem in mathematical logic states that if a system can prove…

Bossmind
Bossmind

Löb’s Paradox

Löb's paradox, a puzzle in modal logic, questions the formalization of provability…

Bossmind
Bossmind

Limitation Result

A limitation result defines the boundaries of what can be achieved in…

Bossmind
Bossmind

Kleene’s Three-Valued Logic (K3)

Explore Stephen Cole Kleene's three-valued logic system, K3. It introduces an 'undefined'…

Bossmind
Bossmind

Intuitionistic Mathematics

Mathematics built on intuitionistic logic, prioritizing constructive proofs and avoiding non-constructive axioms…

Bossmind
Bossmind

Intuitionism

Intuitionism is a philosophy of mathematics that questions the existence of the…

Bossmind
Bossmind

Infinitary: Understanding Infinite Expressions in Logic and Computation

Explore infinitary concepts, dealing with expressions of infinite length in logic, languages,…

Bossmind
Bossmind