File:Peano-9.pdf
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Summary
| Description |
English: Nonstandard-model of the Peano axioms, except for axiom 9 (induction). The horizontal vectors at the bottom denote the standard part, i.e. zero (leftmost, shown in glaring red) and its infinitely many -direct and indirect- successors. However, there is an additial nonstandard ("junk") part, viz. the cycle at the top, consisting of 48 members, none of which are reachable from zero via successor application. — See File:Domino effect visualizing exclusion of junk term by induction axiom.jpg for a 3d-graphic of the corrersponding domino effect. — See File:Peano-7.pdf and File:Peano-8.pdf for a nonstandard model violating just Peano axiom 7 and 8, respectively. |
| Date | |
| Source | Own work |
| Author | Jochen Burghardt |
LaTeX source code
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:56, 21 February 2015 |  | 1,770 × 677 (13 KB) | Jochen Burghardt | User created page with UploadWizard |
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