Zermelo–Fraenkel set theory
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Zermelo–Fraenkel set theory
Summary
Zermelo–Fraenkel set theory is a set theory[1]. It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[2]
Key Facts
- Zermelo–Fraenkel set theory's instance of is recorded as set theory[3].
- Abraham Fraenkel is named after Zermelo–Fraenkel set theory[4].
- Ernst Zermelo is named after Zermelo–Fraenkel set theory[5].
- Zermelo–Fraenkel set theory comprises Zermelo set theory[6].
- Zermelo–Fraenkel set theory's topic's main category is recorded as Category:Zermelo–Fraenkel set theory[7].
- Zermelo–Fraenkel set theory's different from is recorded as Zermelo–Fraenkel set theory with choice[8].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom of extensionality[9].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom of regularity[10].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom schema of specification[11].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom of pairing[12].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom of union[13].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom schema of replacement[14].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom of infinity[15].
- Zermelo–Fraenkel set theory's is the study of is recorded as axiom of power set[16].
- Zermelo–Fraenkel set theory's maintained by WikiProject is recorded as WikiProject Mathematics[17].
Body
Definition and Type
Zermelo–Fraenkel set theory's instance of is recorded as set theory[3].
Origins
Things named after include Abraham Fraenkel[4], a mathematician[18], 1891–1965[19], of German Reich[20], awarded the Israel Prize[21], specialised in set theory[22] and Ernst Zermelo[5], a mathematician[23], 1871–1953[24], of Germany[25], awarded the Ackermann–Teubner Memorial Award[26], specialised in mathematical logic[27].
Use and Application
Zermelo–Fraenkel set theory comprises Zermelo set theory[6].
Why It Matters
Zermelo–Fraenkel set theory has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[2] It is known by 22 alternative names across languages and contexts.[28]