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The algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. The web page lists the fundamental identities, duality principle, and additional laws of set algebra, but does not answer the query directly.
Learn how natural numbers can be constructed in set theory using different methods, such as von Neumann ordinals, equinumerosity, and cardinals. Compare the advantages and disadvantages of each approach and the related axioms and paradoxes.
A class is a collection of sets or other mathematical objects that share a property. Learn about the types, examples, paradoxes, and formalizations of classes in set theory and its applications.
Learn how the Dewey Decimal Classification (DDC) system organizes knowledge into ten main classes, each with ten divisions and ten sections. Find out the topics covered by each class, division, and section, and see examples of books and publications.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Learn about its origins, basic notation, operations, paradoxes, and applications in mathematics and other fields.
A set is a collection of different things, called elements or members, that can be any mathematical objects. Learn how to define, describe, and classify sets using roster, set-builder, and semantic notation, and how to compare sets using inclusion and equality.
Learn about the different ways to classify and represent numbers, from natural and integer to complex and hypercomplex. Find out the properties and examples of various number systems, such as decimal, binary, ternary, and Roman numerals.
Learn the definition, properties, and notation of the union of sets, one of the fundamental operations in set theory. The union of a collection of sets is the set of all elements in the collection.
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