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Ordinal
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Words: 706
Articles: 29
An ordinal is a transitive set well-ordered by membership and represents the order type of a well-order.
Table of contents
706
29
Successor ordinal
Ordinal
9
Countable ordinal
Ordinal
9
Order type
Ordinal
26
1
Mostowski collapse theorem
Order type
13
Limit ordinal
Ordinal
23
Transfinite recursion
Ordinal
15
Transfinite induction
Ordinal
20
Ordinal addition
Ordinal
61
2
Associativity of ordinal addition
Ordinal addition
17
Commuting ordinal addition
Ordinal addition
32
Ordinal multiplication
Ordinal
28
Ordinal exponentiation
Ordinal
18
Derived-set iteration of a well-order
Ordinal
88
1
Derived sets of an ordinal
Derived-set iteration of a well-order
22
Ordinal interval
Ordinal
17
First uncountable ordinal
Ordinal
26
1
Tail of the first uncountable ordinal
First uncountable ordinal
14
Cantor normal form
Ordinal
122
3
Leading term of an ordinal
Cantor normal form
106
2
Greatest power of omega below an ordinal
Leading term of an ordinal
35
Leading exponent of an ordinal product
Leading term of an ordinal
50
Indecomposable ordinal
Ordinal
156
4
Additively closed ordinal
Indecomposable ordinal
41
Division by an additively indecomposable ordinal
Indecomposable ordinal
49
Multiplicatively closed ordinal
Indecomposable ordinal
56
1
Multiplicative closure criterion for a power of omega
Multiplicatively closed ordinal
40
Hessenberg natural sum
Ordinal
71
2
Shuffle bound for ordinal partitions
Hessenberg natural sum
48
1
Ordinal partition bound
Shuffle bound for ordinal partitions
27
Ancestors
(5)
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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Incoming links
(2)
Solution
Solution
Synonyms
(1)
Ordinal number
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