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Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory — as a branch of mathematics — is mostly concerned with those that are relevant to mathematics as a whole.
- Set (Mathematics)
Sets are ubiquitous in modern mathematics. Indeed, set...
- Zermelo–Fraenkel Set Theory
Zermelo–Fraenkel set theory. In set theory, Zermelo–Fraenkel...
- Set (Mathematics)
8. Okt. 2014 · Set Theory. Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. Pure set theory deals exclusively with sets, so the only sets under consideration are those whose members are also sets.
Set theory is a branch of mathematics that studies sets, which are essentially collections of objects. For example \ {1,2,3\} {1,2,3} is a set, and so is \ {\heartsuit, \spadesuit\} {♡,♠}.
Basic Set Theory. Sets are well-determined collections that are completely characterized by their elements. Thus, two sets are equal if and only if they have exactly the same elements. The basic relation in set theory is that of elementhood, or membership.
11. Juli 2002 · Set Theory. First published Thu Jul 11, 2002. Set Theory is the mathematical science of the infinite. It studies properties of sets, abstract objects that pervade the whole of modern mathematics.
