Simply infinite set
Summary
A term sometimes used for infinite sets, i.e., sets equinumerous with N, to contrast them with Dedekind-infinite sets. In ZF, it can be proved that all Dedekind-infinite sets are simply infinite, but the converse – that all simply infinite sets are Dedekind-infinite – can only be proved in ZFC.
Further reading
- Wikipedia, page 43580500, revision 1360947732, Glossary of set theory, section S. adopted
About this page
| Tag | WFNYQEWM4X |
|---|---|
| URI | m2://WFNYQEWM4X |
| Kind | concept |
| Writing | W1 stated |
| Changed | 4 November 2026 |
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What this page needs for W2
- edge defines in: at least one definition (0 of 1)
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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