The universe of discourse defines the scope of elements relevant to a logical or mathematical discussion. It acts as the…
A total function is a mathematical function that is defined for every possible input in its domain. This guarantees an…
A surjection, or onto function, ensures every element in the target set is reached by at least one element from…
A subtheory is a specialized theory nested within a broader one. It shares some axioms and theorems but focuses on…
Seriality defines a property of relations, ensuring every element in the domain maps to at least one element in the…
The range of a function encompasses all possible output values it can generate from its domain. It's a fundamental concept…
An onto function, also known as a surjective function, maps elements from one set to another, ensuring every element in…
A one-to-one function maps each element from its domain to a unique element in its codomain. This ensures no two…
A model in logic and mathematics interprets the symbols of a formal language, satisfying the axioms and theorems of a…
An injective function, or one-to-one function, ensures that each output value corresponds to a unique input value. This fundamental concept…