von Neumann universe

Summary

von Neumann universe is a proper class^[1]. It draws 270 Wikipedia views per month (proper_class category, ranking #1 of 2).^[2]

Key Facts

• von Neumann universe's instance of is recorded as proper class^[3].
• von Neumann universe's instance of is recorded as cumulative hierarchy^[4].
• John von Neumann is named after von Neumann universe^[5].
• von Neumann universe's said to be the same as is recorded as universal class^[6].
• von Neumann universe's Freebase ID is recorded as /m/029dwt^[7].
• von Neumann universe's Encyclopædia Britannica Online ID is recorded as topic/von-Neumann-universe^[8].
• von Neumann universe's defining formula is recorded as \begin{aligned}V_\alpha&=\begin{cases}\mathcal P(V_\beta)&\exists\beta\colon\alpha=\beta+1\\bigcup_{\gamma<\alpha}V_\gamma&\nexists\beta\colon\alpha=\beta+1\end{cases}\V&=\bigcup_{\alpha\in\operatorname{Ord}}V_\alpha\end{aligned}<sup id="cite-C12" class="cite-ref" title="von Neumann universe — defining formula (P2534): \begin{aligned}V_\alpha&=\begin{cases}\mathcal P(V_\beta)&\exists\beta\colon\alpha=\beta+1\\bigcup_{\gamma<\alpha}V_\gamma&\nexists\beta\colon\alpha=\">[9].
• von Neumann universe's maintained by WikiProject is recorded as WikiProject Mathematics^[10].
• von Neumann universe's in defining formula is recorded as V^[11].
• von Neumann universe's in defining formula is recorded as \beta+1^[12].
• von Neumann universe's in defining formula is recorded as \mathcal P(-)^[13].
• von Neumann universe's in defining formula is recorded as \operatorname{Ord}^[14].

Why It Matters

von Neumann universe draws 270 Wikipedia views per month (proper_class category, ranking #1 of 2).^[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.^[15] It is known by 11 alternative names across languages and contexts.^[16]