Hume’s Principle
Hume's principle states that two collections have the same number of objects…
Homomorphism: Preserving Structure in Algebraic Systems
A homomorphism is a structure-preserving map between algebraic structures of the same…
Hilbert’s Program
An ambitious project by David Hilbert to formalize all mathematics and prove…
Higher-Order Logic
Higher-order logic extends first-order logic by enabling quantification over predicates and other…
Understanding Hierarchy: Concepts, Types, and Applications
A hierarchy ranks entities based on criteria, seen in organizational structures and…
Hereditary Property
A hereditary property in mathematics and logic is a characteristic that, if…
Henkin Sentence
A Henkin sentence is a self-referential statement that asserts its own provability…
Gödel’s Second Incompleteness Theorem
Gödel's second incompleteness theorem states that no consistent formal system strong enough…
Gödel’s First Incompleteness Theorem
Gödel's First Incompleteness Theorem states that any consistent formal system capable of…
Gödel Sentence
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems…