Inductive
Summary
An inductive set is a set that can be generated from a base set by repeatedly applying a certain operation, such as the set of natural numbers generated from the number 0 by the successor operation.
An inductive definition is a definition that specifies how to construct members of a set based on members already known to be in the set, often used for defining recursively defined sequences, functions, and structures.
A poset is called inductive if every non-empty ordered subset has an upper bound
Further reading
- Wikipedia, page 43580500, revision 1360947732, Glossary of set theory, section I. adopted
About this page
| Tag | VANEC1ZGAA |
|---|---|
| URI | m2://VANEC1ZGAA |
| 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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