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Explore the main themes, entities and connections around Ordinal collapsing function. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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Other similar ordinal collapsing functions
16 related topics
An example leading up to the Bachmann–Howard ordinal
12 related topics
Overview
30 related topics
Variations on the example
1 related topics
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Topics to explore
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.Browse the full topic structure. Each item opens a new analysis centered on that subject.
Overview
- Mathematical logic
- Set theory
- Notations Ordinal notation
- Recursive Recursive ordinal
- Recursively large ordinals Large countable ordinal
- Large cardinals Large cardinal property
- Impredicative Impredicativity
- Bachmann–Howard ordinal
- Ordinal analysis
- Formal systems Formal system
- Second-order arithmetic
- Reverse mathematics
- Kripke–Platek set theory
- Bishop Errett Bishop
- Constructive mathematics Constructivism (mathematics)
- Martin-Löf Per Martin-Löf
- Intuitionistic type theory
- Psi Psi (letter)
- Theta
- Ε 0 {\displaystyle \varepsilon _{0}} Epsilon numbers (mathematics)
- Veblen functions Veblen function
- Feferman–Schütte ordinal
- Ackermann ordinal
- "small" Veblen ordinal Small Veblen ordinal
- "large" Veblen ordinal Large Veblen ordinal
- Natural number
- Cantor normal form Ordinal arithmetic
- Above Ordinal collapsing function
- Well-defined expression
- If and only if
An example leading up to the Bachmann–Howard ordinal
- First uncountable ordinal
- Countable ordinals Countable ordinal
- Church–Kleene ordinal
- Non-decreasing Monotonic function
- Continuous Continuous function
- Diagonal schemes Cantor's diagonal argument
- Cofinality
- Goodstein function Goodstein's theorem
- Integer
- Ackermann function
- TREE Kruskal's tree theorem
- Peano arithmetic
Variations on the example
Other similar ordinal collapsing functions
- Noriko H. Arai
- Church–Kleene ordinal Nonrecursive ordinal
- There exists Existential quantification
- Well-founded Well-founded relation
- Buchholz's ordinal
- Takeuti–Feferman–Buchholz ordinal
- Heinz Bachmann
- Axiom of infinity
- Cantor normal form theorem
- Regular cardinal
- Mutual recursion
- Inaccessible cardinal
- Mahlo cardinal
- Weakly compact cardinal
- Reflection principles Reflection principle
- Indescribable cardinals Indescribable cardinal
Advanced semantic analysis
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Ordinal collapsing function
Nodes64
Edges63
Triples78
Avg. degree1.97
Density0.03125
Components1
How this topic connects Entity context
Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.See the strongest relationship patterns around the current topic before diving into the raw triples.
Ordinal collapsing function
Top relations
related to Collapsing large cardinals · 21
Ordinal collapsing function → As, Delta, Gerhard Jäger, In, KPi, KPM, Kripke, Mahlo, Mahloness, Michael Rathjen, Omega, Pi, Platek, Rathjen, Roughly, Sigma, These, Toshiyasu Arai, Very, Wolfram Pohlers
related to Arai's ψ · 19
Ordinal collapsing function → Arai, Arai's, Church, It, Kleene, KP, Kripke, N-2, Noriko, Omega, One, OT, Pi, Platek, Sigma, Suppose, Then, Throughout, Toshiyasu Arai
related to Buchholz's ψ · 8
Ordinal collapsing function → Buchholz's, Cantor, Define, Let, Omega, On, The, This
related to Bachmann's ψ · 7
Ordinal collapsing function → Bachmann's, Heinz Bachmann, Let, Michael Rathjen, Omega, The, Then
related to Extended Buchholz's ψ · 7
Ordinal collapsing function → Buchholz's, Define, Denis Maksudov, Extended Buchholz Ordinal, Omega, The, This
related to An example leading up to the Bachmann–Howard ordinal · 6
Ordinal collapsing function → Bachmann, Buchholz, Buchholz's, Howard, More, The
related to Madore's ψ · 5
Ordinal collapsing function → Buchholz's, David Madore, Its, Omega, This
related to A "normal" variant · 3
Ordinal collapsing function → Most, The, We
is a · 1
Ordinal collapsing function → sophisticated extension of Buchholz's ψ
Important terminology Word statistics
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Important terminology
displaystyle psi omega ordinal alpha varepsilon ordinals function less sequence delta canonical collapsing functions gamma beta defined bachmann system howard
Entity relationships Subject–Predicate–Object triples
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Ordinal collapsing function | is a | sophisticated extension of Buchholz's ψ | 0.90 | text |
| ω 1 | instance of | represent an uncountable ordinal | 0.80 | text |
| Ordinal collapsing function | related to A "normal" variant | Most | 0.60 | section |
| Ordinal collapsing function | related to A "normal" variant | We | 0.60 | section |
| Ordinal collapsing function | related to A "normal" variant | The | 0.60 | section |
| Ordinal collapsing function | related to An example leading up to the Bachmann–Howard ordinal | The | 0.60 | section |
| Ordinal collapsing function | related to An example leading up to the Bachmann–Howard ordinal | Buchholz | 0.60 | section |
| Ordinal collapsing function | related to An example leading up to the Bachmann–Howard ordinal | More | 0.60 | section |
| Ordinal collapsing function | related to An example leading up to the Bachmann–Howard ordinal | Buchholz's | 0.60 | section |
| Ordinal collapsing function | related to An example leading up to the Bachmann–Howard ordinal | Bachmann | 0.60 | section |
| Ordinal collapsing function | related to An example leading up to the Bachmann–Howard ordinal | Howard | 0.60 | section |
| Ordinal collapsing function | related to Arai's ψ | Arai's | 0.60 | section |
No triples extracted yet.
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Connections between topic areas Semantic bridges
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