Incompleteness and Undecidability
The Axiom of Infinity is a fundamental principle in set theory that asserts the existence of an infinite set. Specifically, it states that there exists a set that contains the empty set and is closed under the operation of forming the successor of any element in the set, leading to the construction of the natural numbers. This axiom is crucial for developing theories that include the concept of infinity, such as arithmetic and analysis.
congrats on reading the definition of Axiom of Infinity. now let's actually learn it.