Iteration involves repeating a set of operations multiple times, using the output of each step as the input for the…
Irreflexivity defines a relation where no element is related to itself. This fundamental property is crucial in various mathematical and…
An inner model is a substructure of a larger model of set theory. It's a fundamental concept for understanding the…
An injective function, also known as an injective or one-to-one function, maps distinct elements of its domain to distinct elements…
Indefinite extensibility describes collections, like the set of all sets, that cannot be fully listed. Any enumeration attempt can always…
An impredicative definition defines an object in terms of a totality to which the object itself belongs. This can lead…
The image of a function represents the set of all possible output values derived from its input domain. It's a…
A formal system is a set of symbols and rules for manipulating them, used to derive statements or theorems in…
A formal language is a set of strings built using specific rules. It's crucial in mathematics, computer science, and logic…
A falsemaker is an entity or condition that makes a proposition false. It's the metaphysical opposite of a truthmaker, which…