File:Induction, bounding, least number principles.png

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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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Author Jordan Mitchell Barrett

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Date/TimeThumbnailDimensionsUserComment
current05:30, 14 April 2021Thumbnail for version as of 05:30, 14 April 20211,259 × 1,127 (69 KB)Jordan Mitchell Barrett (talk | contribs)Additions and corrections
04:32, 14 April 2021Thumbnail for version as of 04:32, 14 April 20211,259 × 1,020 (62 KB)Jordan Mitchell Barrett (talk | contribs)Cross-wiki upload from en.wikipedia.org

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