File:Induction, bounding, least number principles.png
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Summary
| Description |
English: A schematic diagram of the induction, bounding, and least number principles of first-order arithmetic. Vertical positioning determines logical implication over PA⁻ + IΣ₀ (i.e. strictly higher axioms are strictly stronger). The horizontal lines delimit the classes which are equivalent over the stronger theory PA⁻ + IΣ₀ + exp. It's indicated which principles are provable in RCA₀ (those below the thick dashed line). |
| Date | |
| Source | Own work |
| Author | Jordan Mitchell Barrett |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 06:30, 14 April 2021 | | 1,259 × 1,127 (69 KB) | wikimediacommons>Jordan Mitchell Barrett | Additions and corrections |
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