Search: ex:EX8134
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BP793 |
| Image of a Bongard Problem that would sort itself on its own left versus image of a Bongard Problem that would sort itself on its own right. |
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COMMENTS
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Rhetorical question: Where does this Bongard Problem sort an image of itself?
See BP999 and BP1004 for similar paradoxes.
Bongard Problems fitting left here evidently come in three categories: 1) would sort all Bongard Problems with the same solution left, 2) would sort all Bongard Problems with the same solution right, or 3) would sort some Bongard Problems with the same solution left and some right. See BP927. |
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CROSSREFS
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See BP517 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).
See BP954, which is about Bongard Problems not only sorting themselves, but moreover fractally appearing in themselves as panels.
Adjacent-numbered pages:
BP788 BP789 BP790 BP791 BP792  *  BP794 BP795 BP796 BP797 BP798
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KEYWORD
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hard, nice, abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, experimental
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WORLD
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boxes_bpimage_sorts_self [smaller | same | bigger] zoom in left (boxes_bpimage_sorts_self_left) | zoom in right (boxes_bpimage_sorts_self_right)
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AUTHOR
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Aaron David Fairbanks
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BP927 |
| Image of Bongard Problem whose self-sorting depends on examples in it vs. image of Bongard Problem that will sort any Bongard Problem with its solution on either its left or right regardless of examples chosen. |
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COMMENTS
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All examples are Bongard Problems fitting left or right in BP793.
All examples here are in the conventional format, i.e. white background, black vertical dividing line, and examples in boxes on either side.
Border cases are Bongard Problems that always self-sort one way given their particular visual format (e.g. fixed number of boxes), but self-sort a different way in another slightly different format.
Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.
It is interesting to think about how this Bongard Problem sorts itself. The only self-consistent answer is that it fits right. |
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CROSSREFS
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See BP793 "sorts self left vs. sorts self right".
See BP944 "sorts every BP on one side vs. doesn't".
Adjacent-numbered pages:
BP922 BP923 BP924 BP925 BP926  *  BP928 BP929 BP930 BP931 BP932
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KEYWORD
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hard, solved, presentationinvariant, visualimagination
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WORLD
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boxes_bpimage_sorts_self [smaller | same | bigger] zoom in left (boxes_bpimage_sorts_self_incarnation_dependent) | zoom in right
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AUTHOR
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Aaron David Fairbanks
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BP944 |
| Image of Bongard Problem that would sort ANY image of a valid Bongard Problem on one of its sides vs. image of Bongard Problem whose categorization of a BP image would depend on the solution or examples in it. |
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COMMENTS
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"Any" here means any image of a Bongard Problem in the relevant format, i.e. with white background, black vertical dividing line, and examples in boxes on either side.
All examples shown in this Problem clearly sort themselves on the left or right.
A self-referential but maybe simpler solution is "would sort all examples in this whole Bongard Problem on one of its sides vs. not so." Users adding examples please try to maintain this: for any example you add to the right of this Bongard Problem, make sure it does not sort all the other examples in this Bongard Problem on just one of its sides. - Aaron David Fairbanks, Aug 26 2020 |
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CROSSREFS
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Adjacent-numbered pages:
BP939 BP940 BP941 BP942 BP943  *  BP945 BP946 BP947 BP948 BP949
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KEYWORD
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hard, challenge, presentationinvariant
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WORLD
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boxes_bpimage_sorts_self [smaller | same | bigger] zoom in left | zoom in right
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AUTHOR
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Jago Collins
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BP952 |
| Images of Bongard Problems about images of Bongard Problems about images of Bongard Problems vs. images of Bongard Problems not including images of Bongard Problems including images of Bongard Problems. |
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BP987 |
| Solution could appear in a Bongard Problem featuring an image of itself on either of its sides vs. solution can appear in a Bongard Problem featuring an image of itself on a certain side only. |
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COMMENTS
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All examples are Bongard Problems fitting left in BP954.
This is very close to BP927, specialized to Bongard Problems fitting left in BP954. The difference is that a Bongard Problem solution would fit left in BP927 but right here if it can sort images of it on both sides, but it is impossible to make an image of it fractally including itself on a certain side. An example is EX7997.
Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here. |
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CROSSREFS
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Adjacent-numbered pages:
BP982 BP983 BP984 BP985 BP986  *  BP988 BP989 BP990 BP991 BP992
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KEYWORD
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abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination
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CONCEPT
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fractal (info | search), recursion (info | search), self-reference (info | search)
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AUTHOR
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Leo Crabbe
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