Identitätsprinzip
The Identitätsprinzip, or Identity Principle, is a fundamental concept in logic and mathematics, particularly in the field of set theory. It states that if two sets have the same elements, then they are the same set. This principle is often expressed in the form: "If A = B, then every element of A is also an element of B, and vice versa."
The Identitätsprinzip is a cornerstone of set theory and is used to define the equality of sets.
The Identitätsprinzip is closely related to the concept of set equality. Two sets are considered equal if
The Identitätsprinzip is also used in the definition of the power set of a set. The power
In summary, the Identitätsprinzip is a fundamental concept in logic and mathematics that states that if two