Abstract
The sign ∈ denotes the membership relation, i.e., x ∈ A means that an element x is a member of a set A. If x is not a member of a set A, this is written as x ∉ A. Two sets A and B are equal if they consist of the same elements. We write A = B if A and B are equal, and A ≠ B otherwise. The sign ⊆ denotes the inclusion relation of sets, i.e. A ⊆ B means that every member of the set A is also a member of the set B. In this case A is called a subset of B, and B is called a superset of A. If A ⊆ B and A ≠ S, then A is called a proper subset of B, and we write A ⊂ B.
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© 2003 Springer Science+Business Media New York
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Lavrov, I., Maksimova, L., Corsi, G. (2003). Set theory. In: Corsi, G. (eds) Problems in Set Theory, Mathematical Logic and the Theory of Algorithms. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0185-5_1
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DOI: https://doi.org/10.1007/978-1-4615-0185-5_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4957-0
Online ISBN: 978-1-4615-0185-5
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