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BP518 Keywords on the OEBP vs. other Bongard Problem pages.
BP501
BP503
BP504
BP506
BP507
BP508
BP509
BP510
BP511
BP512
BP513
BP514
BP515
BP516
BP517
BP518
BP519
BP520
BP521
BP522
BP534
BP535
BP537
BP539
BP546
BP547
BP549
BP550
BP552
BP553
BP554
BP556
BP563
BP565
BP566

. . .

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

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

CROSSREFS

Adjacent-numbered pages:
BP513 BP514 BP515 BP516 BP517  *  BP519 BP520 BP521 BP522 BP523

KEYWORD

meta (see left/right), links, keyword, oebp, left-self, left-it, feedback, funny

WORLD

bppage [smaller | same | bigger]
zoom in left (keyword)

AUTHOR

Aaron David Fairbanks

BP517 Meta Bongard Problems that sort themselves left vs. meta Bongard Problems that sort themselves right.
BP512
BP518
BP537
BP541
BP542
BP544
BP547
BP561
BP794
BP867
BP902
BP967
BP1000
BP1007
BP1074
BP1075
BP1113
BP1126
BP1150
BP1158
BP508
BP509
BP522
BP539
BP546
BP565
BP821
BP895
BP919
BP950
BP1162
BP1194
BP1242
?
BP517
?
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-self" on the OEBP. Right-sorted BPs have the keyword "right-self."

These keywords are added to pages automatically.


Rhetorical questions: Where does this BP sort itself? Where does this BP sort the flipped version of itself?

CROSSREFS

See BP793 for the version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.


See BP1075 for an example of a BP that is tagged "left-self" but would still be tagged "left-self" after the sides in the title were flipped. (This is unusual; a "left-self" BP after being flipped is typically "right-self" and vice versa.)

Adjacent-numbered pages:
BP512 BP513 BP514 BP515 BP516  *  BP518 BP519 BP520 BP521 BP522

KEYWORD

nice, dual, meta (see left/right), links, keyword, side, metameta, feedback

WORLD

Multiple options:
linksbp [smaller | same | bigger],
bp_in_own_world [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP516 Bongard Problems with a finite number of possible right examples vs. not.
BP244
BP376
BP503
BP504
BP544
BP795
BP854
BP934
BP959
BP962
BP1056
BP1097
BP1219
BP1223
BP1269
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "right-finite" in the OEBP.


BPs are sorted based on how BP515 (left-finite) would sort them were they flipped; see that page for a description.

CROSSREFS

"Right-finite" implies right-narrow.

See right-listable, which is about an infinite right side that can be organized into a neverending list versus infinite right side that cannot be organized into a neverending list.


"Right-finite" BPs are typically precise.


See BP1041 for a version that sorts images of Bongard Problems (miniproblems) instead of links, and which only sorts images of Bongard Problems about numbers.

Adjacent-numbered pages:
BP511 BP512 BP513 BP514 BP515  *  BP517 BP518 BP519 BP520 BP521

KEYWORD

notso, dual, meta (see left/right), links, keyword, side

WORLD

bp [smaller | same | bigger]
zoom in right (bp_infinite_right_examples )

AUTHOR

Aaron David Fairbanks

BP515 Bongard Problems with a finite number of possible left examples vs. not.
BP1
BP244
BP376
BP385
BP504
BP538
BP795
BP854
BP868
BP902
BP920
BP934
BP959
BP962
BP1056
BP1097
BP1156
BP1219
BP1220
BP1223
BP1263
BP1269
BP1197
?
BP1146
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-finite" in the OEBP.


How to distinguish between different examples depends on the Bongard Problem. For example, in BPs about little black dots, examples may be considered the same when they have the same number of dots in all the same positions.


Note that this is not just BP516 (right-finite) flipped.

CROSSREFS

"Left-finite" implies left-narrow.

See left-listable, which is about an infinite left side that can be organized into a neverending list versus infinite left side that cannot be organized into a neverending list.


"Left-finite" BPs are typically precise.


See BP1032 for a version that sorts images of Bongard Problems (miniproblems) instead of links, and which only sorts images of Bongard Problems about numbers.

Adjacent-numbered pages:
BP510 BP511 BP512 BP513 BP514  *  BP516 BP517 BP518 BP519 BP520

KEYWORD

notso, dual, meta (see left/right), links, keyword, side

WORLD

bp [smaller | same | bigger]
zoom in right (bp_infinite_left_examples)

AUTHOR

Aaron David Fairbanks

BP514 Bongard Problems whose right examples could stand alone vs. the left side is necessary to communicate what the right side is.
BP4
BP31
BP328
BP334
BP345
BP347
BP359
BP373
BP829
BP850
BP922
BP924
BP932
BP1049
BP1171
BP1213
BP1216
BP1219
?
BP544
(edit; present; nest [left/right]; search; history)
COMMENTS

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


This sorts Bongard Problems based on how BP513 (left-narrow) would sort them if they were flipped; see that page for a description.

CROSSREFS

Adjacent-numbered pages:
BP509 BP510 BP511 BP512 BP513  *  BP515 BP516 BP517 BP518 BP519

KEYWORD

dual, meta (see left/right), links, keyword, side

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP513 Bongard Problems whose left examples could stand alone vs. the right side is necessary to communicate what the left side is.
BP1
BP31
BP50
BP328
BP334
BP345
BP356
BP373
BP384
BP386
BP559
BP569
BP850
BP856
BP902
BP922
BP932
BP935
BP937
BP988
BP989
BP999
BP1004
BP1005
BP1006
BP1011
BP1049
BP1080
BP1086
BP1093
BP1098
BP1109
BP1110
BP1145
BP1147

. . .

?
BP544
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Call a rule "narrow" if it is likely to be noticed in a large collection of examples, without any counterexamples provided.


A collection of triangles will be recognized as such; "triangles" is a narrow rule. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.


Intuitively, a narrow rule seems small in comparison to the space of other related possibilities. Narrow rules tend to be phrased positively ("is [property]"), while non-narrow rules opposite narrow rules tend to be phrased negatively ("is not [property]").


Both sides of a Bongard Problem can be narrow, e.g. BP6.

Even a rule and its conceptual opposite can be narrow, e.g. BP20.

A Bongard Problem such that one side is narrow and the other side is the non-narrow opposite reads as the narrow side being a subset of the other. See BP881.


What seems like a typical example depends on expectations. (See the keyword assumesfamiliarity for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.


Typically, any example fitting a narrow rule can be changed slightly to no longer fit. (This is not always the case, however. Consider the narrow rule "is approximately a triangle".) See the keyword stable.


It is possible for a rule to be "narrow" (communicable by a properly chosen collection of examples) but not clearly communicated by a particular collection of examples satisfying it, e.g., a collection of examples that is too small to communicate it.


Note that this is not just BP514 (right-narrow) flipped.



Is it possible for a rule to be such that some collections of examples do bring it to mind, but no collection of examples unambiguously communicates it as the intended rule? Perhaps there is some border case the rule excludes, but it is not clear whether the border case was intentionally left out. The border case's absence would likely become more conspicuous with more examples (assuming the collection of examples naturally brings this border case to mind).

CROSSREFS

See BP830 for a version with pictures of Bongard Problems (miniproblems) instead of links.

Adjacent-numbered pages:
BP508 BP509 BP510 BP511 BP512  *  BP514 BP515 BP516 BP517 BP518

KEYWORD

dual, meta (see left/right), links, keyword, side

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP512 Abstract Bongard Problems vs. concrete visual Bongard Problems.
BP218
BP331
BP360
BP373
BP378
BP379
BP393
BP512
BP543
BP792
BP793
BP795
BP796
BP797
BP801
BP812
BP813
BP824
BP833
BP839
BP847
BP865
BP869
BP871
BP879
BP880
BP881
BP882
BP894
BP917
BP954
BP955
BP957
BP978
BP987

. . .

BP1
BP322
BP334
BP946
BP1123
(edit; present; nest [left/right]; search; history)
COMMENTS

BPs sorted left are tagged with the keyword "abstract" on the OEBP. The solution is not an easily-checked or concretely-defined geometrical or numerical property in pictures.

CROSSREFS

Adjacent-numbered pages:
BP507 BP508 BP509 BP510 BP511  *  BP513 BP514 BP515 BP516 BP517

KEYWORD

abstract, meta (see left/right), links, keyword, left-self, sideless

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP511 Noisy Bongard Problems vs. minimalist Bongard Problems.
BP10
BP25
BP37
BP40
BP42
BP48
BP58
BP60
BP64
BP65
BP66
BP73
BP82
BP98
BP105
BP106
BP109
BP116
BP123
BP127
BP128
BP130
BP131
BP132
BP135
BP136
BP162
BP165
BP174
BP181
BP183
BP192
BP194
BP201
BP202

. . .

BP859
BP962
BP1104
BP1122
BP1156
BP1219
BP1255
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "noisy" on the OEBP. Right-sorted examples have the keyword "minimal."


Noisy Bongard Problems include extra details varying between examples that distract from the solution property; more specifically noise is properties independent of the solution property that vary between examples. Minimalist Bongard Problems only vary details absolutely necessary to communicate the solution.


"Noisy" is different than the kind of distraction mentioned at distractingworld, which means the class of examples is distractingly specific, irrelevant to the solution, rather than that there are extra distracting properties changing between examples.


Bongard Problems have varying degrees of noisiness. Only include here BPs that are very noisy or very minimal.

CROSSREFS

See BP827 for the version with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

See BP845 for noise in sequences of quantity increase.

Adjacent-numbered pages:
BP506 BP507 BP508 BP509 BP510  *  BP512 BP513 BP514 BP515 BP516

KEYWORD

fuzzy, meta (see left/right), links, keyword, sideless

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis, Aaron David Fairbanks

BP510 Bongard Problems that can change the way they sort examples over time vs. other Bongard Problems.
BP503
BP546
BP826
BP943
BP1073
BP1174
BP1194
BP1243
BP1
BP507
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left have the keyword "time" on the OEBP.

CROSSREFS

"Time" implies the culture keyword.

"Time" Bongard Problems tend to be invalid Bongard Problems.

Adjacent-numbered pages:
BP505 BP506 BP507 BP508 BP509  *  BP511 BP512 BP513 BP514 BP515

EXAMPLE

BP504 (the page for the stub keyword) will change the way it sorts Bongard Problem pages over time.

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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

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