Theories of iterated inductive definitions
Summary
In set theory and logic, Buchholz's ID hierarchy is a hierarchy of subsystems of first-order arithmetic. The systems/theories are referred to as "the formal theories of ν-times iterated inductive definitions". IDν extends PA by ν iterated least fixed points of monotone operators.
Further reading
- Wikipedia, page 68497153, revision 1327123101, Theories of iterated inductive definitions. adopted
About this page
| Tag | 5VNT564Y2W |
|---|---|
| URI | m2://5VNT564Y2W |
| Aliases | buchholzs-id-hierarchy |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| 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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