### What does **set theory** mean?

# Definitions for set theory

set the·o·ry

#### Here are all the possible meanings and translations of the word **set theory**.

### Princeton's WordNet

set theorynoun

the branch of pure mathematics that deals with the nature and relations of sets

### Wiktionary

set theorynoun

The mathematical theory of sets.

### Freebase

Set theory

Set theory is the branch of mathematical logic that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects. The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known. Set theory is commonly employed as a foundational system for mathematics, particularly in the form of Zermelo–Fraenkel set theory with the axiom of choice. Beyond its foundational role, set theory is a branch of mathematics in its own right, with an active research community. Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals.

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of set theory in Chaldean Numerology is:

**9**Pythagorean Numerology

The numerical value of set theory in Pythagorean Numerology is:

**9**

## Translations for **set theory**

### From our Multilingual Translation Dictionary

- teorie množinCzech
- mængdelæreDanish
- Mengenlehre, MengentheorieGerman
- θεωρία των συνόλωνGreek
- teoría de conjuntosSpanish
- joukko-oppiFinnish
- théorie des ensemblesFrench
- teoiric na dtacar, tacartheoiricIrish
- תורת הקבוצותHebrew
- halmazelméletHungarian
- ensemblo-teorioIdo
- mengjafræðiIcelandic
- teoria degli insiemi, insiemisticaItalian
- 集合論Japanese
- 집합론Korean
- ratio coniunctorumLatin
- teori setMalay
- verzamelingenleerDutch
- mengdelæreNorwegian
- teoria mnogościPolish
- teoria dos conjuntos, teoria de conjuntosPortuguese
- теория множествRussian
- теорија скупова, teorija skupovaSerbo-Croatian
- mängdläraSwedish
- ทฤษฎีเซตThai

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### Translation

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"set theory." *Definitions.net.* STANDS4 LLC, 2021. Web. 29 Jul 2021. <https://www.definitions.net/definition/set+theory>.