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BP509 Bongard Problems that sort all relevant examples vs. Bongard Problems that would leave some unsorted.
BP1
BP3
BP31
BP103
BP312
BP321
BP322
BP329
BP334
BP376
BP384
BP386
BP389
BP390
BP527
BP557
BP559
BP560
BP564
BP569
BP576
BP788
BP820
BP856
BP863
BP891
BP897
BP898
BP905
BP922
BP934
BP935
BP937
BP945
BP949

. . .

BP292
BP508
BP509
BP961
BP1073
BP1208
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Bongard Problems have the keyword "allsorted" on the OEBP.


A Bongard Problem is labelled "allsorted" when the type of thing it sorts is partitioned unambiguously and without exception into two groups.


Similarly to using the precise and fuzzy keywords, calling a Bongard Problem "allsorted" is a subjective/intuitive judgment. The collection of all relevant potential examples is not clearly delineated anywhere.

(Sometimes it's ambiguous whether to consider certain examples that are ambiguously sorted relevant.)


The solution to an "allsorted" Bongard Problem can usually be re-phrased as "___ vs. not so" (see the keyword notso).

But not every "___ vs. not so" Bongard Problem should be labelled "allsorted"; there could be ambiguous border cases in a "___ vs. not so" Bongard Problem.


Bongard Problems in which the two sides are so different that there is no middle ground between them (keyword gap) are sometimes still labelled "allsorted", since the intuitive pool of all relevant examples just amounts to the two unrelated sides. But some "gap" Bongard Problems are not like that; for example sometimes there are more related classes of examples besides the two shown.


Sometimes the class of all examples in a Bongard Problem is imprecise, but, despite that, the rule sorting those examples is precise. Say, for some potential new example, it is unclear whether it should be included in the Bongard Problem at all, but, if it were included, it would be clear where it should be sorted. A Bongard Problem like this can still be tagged "allsorted".

On the other hand, sometimes the class of all examples is very clear, with an obvious boundary. (Keyword preciseworld.)



In deciding where to sort an example, we think about it until we come to a conclusion; an example isn't here considered ambiguous just because someone might have a hard time with it (keyword hardsort).

However, sometimes the way a Bongard Problem would sort certain examples is an unsolved problem in mathematics, and it may be unknown whether there is even a solution. Whether or not such a Bongard Problem should be labelled "allsorted" might be debated.

(See the keyword proofsrequired.)

One way to resolve this ambiguity is to redefine "allsorted" as meaning that once people decide where an example belongs, it will be on one of the two sides, and they will all agree about it.



There is a distinction to be made between a non-"allsorted" Bongard Problem that could be made "allsorted" by making (finitely many) more examples sorted (thereby modifying or clarifying the solution of the Bongard Problem) and one such that this is not possible while maintaining a comparably simple solution. The former kind would often be labelled precise, in particular when these border cases have been explicitly forbidden from being sorted in the Bongard Problem's definition.

For instance, discrete Bongard Problems that are not allsorted usually fall into the former category.

CROSSREFS

See BP875 for the version with pictures of Bongard Problems instead of links to pages on the OEBP.

"Allsorted" implies precise.

"Allsorted" and both are mutually exclusive.

"Allsorted" and neither are mutually exclusive.

Adjacent-numbered pages:
BP504 BP505 BP506 BP507 BP508  *  BP510 BP511 BP512 BP513 BP514

KEYWORD

fuzzy, meta (see left/right), links, keyword, right-self, sideless, right-it, feedback

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP519 Meta-BPs that indicate a specific concept appearing in a BP's solution.
BP526
BP578
BP579
BP580
BP581
BP582
BP583
BP584
BP585
BP586
BP587
BP588
BP589
BP590
BP591
BP592
BP593
BP594
BP595
BP596
BP597
BP598
BP599
BP600
BP601
BP602
BP603
BP604
BP605
BP606
BP607
BP608
BP609
BP610
BP611

. . .

BP518
BP519
BP1073
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COMMENTS

Left examples have the keyword "metaconcept" on the OEBP.


These are used under-the-hood by the OEBP system to display the concepts featured in a Bongard Problem; that is the main reason these pages exist.

CROSSREFS

"Metaconcept" implies sideless.

Adjacent-numbered pages:
BP514 BP515 BP516 BP517 BP518  *  BP520 BP521 BP522 BP523 BP524

EXAMPLE

This BP is a right example for itself because it does not indicate the presence of a particular concept in BP solutions.

KEYWORD

meta (see left/right), links, keyword, metameta, right-it, feedback

WORLD

linksbp [smaller | same | bigger]
zoom in left (metaconcept)

AUTHOR

Aaron David Fairbanks

BP895 Meta Bongard Problems that sort Bongard Problems based on other information than just their solutions (e.g. what format the Bongard Problem is, or what specific examples are shown in it) vs. Meta Bongard Problems that sort Bongard Problems purely based on solution.
BP504
BP793
BP795
BP802
BP803
BP827
BP831
BP834
BP871
BP872
BP894
BP1150
BP200
BP796
BP829
BP830
BP832
BP833
BP835
BP836
BP868
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP895
BP927
BP944
BP948
BP952
BP954
BP987
BP1024
BP1025
BP1026
BP1027
BP1028
BP1029
BP1030
BP1031
BP1032
BP1033

. . .

?
BP828
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COMMENTS

Left-sorted Bongard Problems have the keyword "presentationmatters" on the OEBP.

Right-sorted Bongard Problems have the keyword "presentationinvariant" on the OEBP.


Meta Bongard problems that sort Bongard Problems purely based on their solutions usually have two versions in the database: one that sorts images of Bongard Problems and one that sorts links to pages on the OEBP. If both versions exist, users should make them cross-reference one another. (Meta Bongard Problems that sort images of Bongard Problems have the keyword miniproblems, whereas meta Bongard Problems that sort links to OEBP pages have the keyword links.)


For meta-pages on the OEBP that sort other pages on the OEBP (keyword links), "presentationmatters" means factoring in content like the BP number, the currently uploaded examples, the wording of the title, the description, and so on, rather than just the solution (that is, how the page would sort all potential examples). This is unusual.


"One solution vs. multiple solutions" (BP828) seems like a border-case. It is about solutions, but it only makes sense for images of Bongard Problems with particular examples. - Aaron David Fairbanks, Aug 01 2020

CROSSREFS

See BP1010 (projectionmatters versus 3d) for a similar idea: there 2D representations are to 3D objects as here Bongard Problems are to Bongard Problem solutions.

Adjacent-numbered pages:
BP890 BP891 BP892 BP893 BP894  *  BP896 BP897 BP898 BP899 BP900

KEYWORD

fuzzy, meta (see left/right), links, keyword, right-self, sideless, metameta, right-it, dependence, presentationinvariant

WORLD

metabp [smaller | same | bigger]

AUTHOR

Jago Collins

BP902 This Bongard Problem vs. anything else.
BP902
BP1

becious

(edit; present; nest [left/right]; search; history)
COMMENTS

Although this Bongard Problem is self-referential, it's only because of the specific phrasing of the solution. "BP902 vs. anything else" would also work. The number 902 could have been chosen coincidentally.

CROSSREFS

See BP953, BP959.

Adjacent-numbered pages:
BP897 BP898 BP899 BP900 BP901  *  BP903 BP904 BP905 BP906 BP907

KEYWORD

notso, meta (see left/right), links, left-self, left-narrow, left-finite, left-full, right-null, right-it, invalid, experimental, funny

CONCEPT self-reference (info | search),
specificity (info | search)

WORLD

everything [smaller | same]
zoom in left (bp902)

AUTHOR

Leo Crabbe

BP1150 Even BP number on the OEBP vs. odd BP number on the OEBP.
BP2
BP4
BP6
BP8
BP10
BP12
BP14
BP16
BP18
BP20
BP100
BP1150
BP1
BP3
BP5
BP7
BP9
BP11
BP13
BP15
BP17
BP19
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

This was created as an example for BP1073 (left-it versus right-it).

CROSSREFS

Adjacent-numbered pages:
BP1145 BP1146 BP1147 BP1148 BP1149  *  BP1151 BP1152 BP1153 BP1154 BP1155

KEYWORD

less, meta (see left/right), links, oebp, example, left-self, presentationmatters, right-it, experimental, left-listable, right-listable

CONCEPT even_odd (info | search)

AUTHOR

Aaron David Fairbanks

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