Topos Theory: A Generalized Set Theory
Topos theory generalizes set theory using abstract frameworks. It defines mathematical structures…
Predicate Functor Logic
A powerful logical system merging predicate logic with functors. It enhances the…
Monomorphism in Category Theory
A monomorphism is a left-cancellable morphism in category theory. If f ∘…
Epimorphism in Category Theory
An epimorphism is a right-cancellable morphism in category theory, analogous to a…
Endomorphism: Preserving Structure in Mathematical Objects
An endomorphism is a structure-preserving function mapping a mathematical object to itself.…
Category Theory: A Foundation for Mathematical Structures
A category is a fundamental structure in mathematics and logic, comprising objects…
Categorical Logic
Categorical logic, rooted in category theory, explores object categorization and the logical…