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

  1. set theorynoun

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

Wiktionary

  1. set theorynoun

    The mathematical theory of sets.

Freebase

  1. 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

How to pronounce set theory?

  1. Alex
    US English
    Daniel
    British
    Karen
    Australian
    Veena
    Indian

How to say set theory in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of set theory in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of set theory in Pythagorean Numerology is: 9

Images & Illustrations of set theory

  1. set theory


Translations for set theory

From our Multilingual Translation Dictionary

Get even more translations for set theory »

Translation

Find a translation for the set theory definition in other languages:

Select another language:

  • - Select -
  • 简体中文 (Chinese - Simplified)
  • 繁體中文 (Chinese - Traditional)
  • Español (Spanish)
  • Esperanto (Esperanto)
  • 日本語 (Japanese)
  • Português (Portuguese)
  • Deutsch (German)
  • العربية (Arabic)
  • Français (French)
  • Русский (Russian)
  • ಕನ್ನಡ (Kannada)
  • 한국어 (Korean)
  • עברית (Hebrew)
  • Gaeilge (Irish)
  • Українська (Ukrainian)
  • اردو (Urdu)
  • Magyar (Hungarian)
  • मानक हिन्दी (Hindi)
  • Indonesia (Indonesian)
  • Italiano (Italian)
  • தமிழ் (Tamil)
  • Türkçe (Turkish)
  • తెలుగు (Telugu)
  • ภาษาไทย (Thai)
  • Tiếng Việt (Vietnamese)
  • Čeština (Czech)
  • Polski (Polish)
  • Bahasa Indonesia (Indonesian)
  • Românește (Romanian)
  • Nederlands (Dutch)
  • Ελληνικά (Greek)
  • Latinum (Latin)
  • Svenska (Swedish)
  • Dansk (Danish)
  • Suomi (Finnish)
  • فارسی (Persian)
  • ייִדיש (Yiddish)
  • հայերեն (Armenian)
  • Norsk (Norwegian)
  • English (English)

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Discuss these set theory definitions with the community:

0 Comments

    Citation

    Use the citation below to add this definition to your bibliography:

    Style:MLAChicagoAPA

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

    Are we missing a good definition for set theory? Don't keep it to yourself...

    Browse Definitions.net

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Quiz

    Are you a words master?

    »
    a textile machine for weaving yarn into a textile
    • A. rumpus
    • B. loom
    • C. emanate
    • D. abhor

    Nearby & related entries:

    Alternative searches for set theory: