A total function is a mathematical function that is defined for every possible input in its domain. This guarantees an…
A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
A ternary function is a mathematical concept that accepts three inputs or arguments. It's an extension of unary (one input)…
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…
Simple type theory organizes objects into a hierarchy of types, classes, and classes of classes. It contrasts with ramified type…
Self-reference occurs when something points back to itself. This concept is crucial in understanding paradoxes, the nature of logic, and…
Reflexivity means every element in a set is related to itself. This fundamental property is crucial in understanding various mathematical…
A recursive relation defines a relationship based on its own previous terms. This allows for the definition of sequences and…
A recursive definition defines a mathematical object by referring to itself. It requires a base case to stop the recursion…