Wikia

Psychology Wiki

Set theory

Talk0
34,135pages on
this wiki

Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |

Statistics: Scientific method · Research methods · Experimental design · Undergraduate statistics courses · Statistical tests · Game theory · Decision theory


Set theory is the mathematical theory of sets, which represent collections of abstract objects. It encompasses the everyday notions, introduced in primary school, of collections of objects, and the elements of, and membership in, such collections. In most modern mathematical formalisms, set theory provides the language in which mathematical objects are described. It is (along with logic and the predicate calculus) one of the axiomatic foundations for mathematics, allowing mathematical objects to be constructed formally from the undefined terms of "set", and "set membership". It is in its own right a branch of mathematics and an active field of ongoing mathematical research.

In naive set theory, sets are introduced and understood using what is taken to be the self-evident concept of sets as collections of objects considered as a whole.

In axiomatic set theory, the concepts of sets and set membership are defined indirectly by first postulating certain axioms which specify their properties. In this conception, sets and set membership are fundamental concepts like point and line in Euclidean geometry, and are not themselves directly defined.

See alsoEdit

Topology/Set Theory may have more about this subject.


Discrete mathematics:Set theory may have more about this subject.



be:Тэорыя мностваў cs:Teorie množin da:Mængdelære de:Mengenlehre eo:Arteorio fa:نظریه مجموعه‌ها fr:Théorie des ensembles he:תורת הקבוצות id:Teori himpunan io:Ensemblo-teorionl:Verzamelingenleerru:Теория множеств sl:Teorija množic sv:Mängdlära fi:Joukko-oppi th:ทฤษฎีเซต zh:集合论 {

This page uses Creative Commons Licensed content from Wikipedia (view authors).

Around Wikia's network

Random Wiki