An epimorphism is a right-cancellable morphism in category theory, analogous to a surjective function in set theory. It plays a…
Hilbert's Entscheidungsproblem sought an algorithm to determine the truth of any mathematical statement. Alan Turing and Alonzo Church proved it…
An endomorphism is a structure-preserving function mapping a mathematical object to itself. It's a fundamental concept in abstract algebra, category…
Elementary equivalence signifies that two structures share all the same first-order sentences. This concept is crucial in model theory for…
An effective procedure is a guaranteed method for solving problems in a finite, repeatable sequence of steps. It ensures a…
The downward Löwenheim–Skolem theorem states that if a theory has an infinite model, it has a model of every infinite…
Double negation is the logical principle where applying negation twice to a statement returns the original statement. In classical logic,…
The domain of discourse is the set of all objects under consideration in a logical system. It defines the scope…
The domain defines the set of all permissible inputs for a function or the scope of a logical argument. It's…
Distributivity describes how one binary operation can be applied across another within algebraic structures. It's a fundamental property ensuring consistent…