File:Induction, bounding, least number principles.png
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![File:Induction, bounding, least number principles.png](https://upload.wikimedia.org/wikipedia/commons/thumb/f/fe/Induction%2C_bounding%2C_least_number_principles.png/670px-Induction%2C_bounding%2C_least_number_principles.png?20210414053014)
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[edit]DescriptionInduction, bounding, least number principles.png |
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). |
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Source | Own work |
Author | Jordan Mitchell Barrett |
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current | 05:30, 14 April 2021 | ![]() | 1,259 × 1,127 (69 KB) | Jordan Mitchell Barrett (talk | contribs) | Additions and corrections |
04:32, 14 April 2021 | ![]() | 1,259 × 1,020 (62 KB) | Jordan Mitchell Barrett (talk | contribs) | Cross-wiki upload from en.wikipedia.org |
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