Metatheorem: Understanding Theorems About Theories
A metatheorem is a theorem that describes properties of a formal system,…
Metamathematics
Metamathematics examines mathematical systems and theories from an elevated viewpoint, employing principles…
Logicism: Reducing Mathematics to Logic
Logicism is the philosophical view that mathematics is a branch of logic.…
Kreisel-Putnam Logic
A logic designed for higher-order quantification and modalities. It emerged from discussions…
Intuitionistic Mathematics
Mathematics built on intuitionistic logic, prioritizing constructive proofs and avoiding non-constructive axioms…
Intuitionistic Logic Explained
Intuitionistic logic, a constructive approach to reasoning, diverges from classical logic by…
Intuitionism
Intuitionism is a philosophy of mathematics that questions the existence of the…
Hume’s Principle
Hume's principle states that two collections have the same number of objects…
Hilbert’s Program
An ambitious project by David Hilbert to formalize all mathematics and prove…