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Von Neumann hierarchy
(
V
α
)
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Mathematics
Area of mathematics
Foundations of mathematics
Set theory
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Words: 45
Articles: 1
The von Neumann hierarchy is
V
0
=
∅
,
V
α
+
1
=
P
(
V
α
)
,
V
λ
=
⋃
β
<
λ
V
β
.
(1)
Every level is transitive, the levels are increasing, and every set belongs to some level.
Table of contents
45
1
Rank of a set
Von Neumann hierarchy
19
Ancestors
(5)
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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(1)
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