Mathematical logic and foundations Ordinals and cardinals Concept
Cardinal number
Summary
Cardinal numbers measure the size of sets, finite or infinite. They generalize the natural numbers as answers to the question "how many elements?".
Where this leads
19 pages build on this one.
- Ryll-Nardzewski theorem
- Inaccessible cardinal
- Dense linear order
- Löwenheim–Skolem theorem
- Weakly compact cardinal
- Woodin cardinal
- Saturated model
- Singular cardinals hypothesis
- Rank of an abelian group
- Stable theory
- Infinitary logic
- Lindström's theorem
- Measurable cardinal
- Cardinal function
- Categorical theory
- Jensen's covering theorem
- Supercompact cardinal
- Morley's categoricity theorem
- Łoś–Vaught test
Further reading
- Web https://en.wikipedia.org/wiki/Cardinal_number, lead section
About this page
| Tag | 0EBACQFAZW |
|---|---|
| URI | m2://0EBACQFAZW |
| Aliases | cardinal |
| Kind | concept |
| Writing | W1 stated |
| MSC | 03E10 |
| Same as |
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What this page needs for W2
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Instances
Special cases
Used by
- Inaccessible cardinal
- Löwenheim–Skolem theorem
- Weakly compact cardinal
- Woodin cardinal
- Saturated model
- Singular cardinals hypothesis
- Rank of an abelian group
- Stable theory
- Infinitary logic
- Measurable cardinal
- Cardinal function
- Categorical theory
- Jensen's covering theorem
- Supercompact cardinal
- Morley's categoricity theorem
- Łoś–Vaught test