Logicism is the philosophical view that mathematics is a branch of logic. Proponents believe all mathematical truths can be derived…
Löb's theorem in mathematical logic states that if a system can prove that a statement implies its own provability, then…
Linear logic treats logical operations as resource-consuming, unlike classical logic's reusable assumptions. It's a subfield of logic focusing on resource…
A formal system for computation based on function abstraction and application. It uses variable binding and substitution to express computation,…
A logic designed for higher-order quantification and modalities. It emerged from discussions on the foundations of mathematics by Kreisel and…
Intuitionism is a philosophy of mathematics that questions the existence of the mathematical infinite and the completeness of mathematical truth.…
A theorem stating that if A implies B is provable, a formula C exists using only common symbols. Both A…
Intermediate logic systems bridge the gap between intuitionistic and classical logic. They offer greater expressive power than intuitionistic logic while…
Explore infinitary concepts, dealing with expressions of infinite length in logic, languages, and operations. Essential for advanced theoretical computer science…
An indirect proof, also known as proof by contradiction, involves assuming the opposite of what you want to prove. If…