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BP506 Bongard Problems whose solutions are hard to put into words vs. Bongard Problems whose solutions are easy to put into words.
BP524
BP956
BP964
BP998
BP1130
BP1142
BP1148
BP1149
BP1155
BP1157
BP1161
BP1181
BP1242
BP1246
BP1247
BP1248
BP1250
BP1251
BP2
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COMMENTS

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


"Unwordable" does not just mean convoluted, that is, involving a long description. "Unwordable" also does not just mean hard. Unwordable Bongard Problems are instead those Bongard Problems whose solutions tend to occur to people nonverbally before verbally. The typical "unwordable" Bongard Problem solution is not too difficult to see, and may be easy to describe vaguely, but hard to pin down in language.


The solution title given on the OEBP for "unwordable" pages is often something vague and evocative, further elaborated on in the comments. For example, the title for BP524 is "Same objects are shown lined up in both 'universes' vs. the two 'universes' are not aligned." If someone said this, it would be clear they had seen the answer, even though this is not a clear description.



Bongard Problems have been sorted here based on how hard they are to put into words in English. (See keyword culture.) It may be interesting to consider whether or not the same choices would be made with respect to other languages.

CROSSREFS

Adjacent-numbered pages:
BP501 BP502 BP503 BP504 BP505  *  BP507 BP508 BP509 BP510 BP511

KEYWORD

notso, subjective, meta (see left/right), links, keyword, sideless

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
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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

BP866 Bongard Problems that admit examples fitting the solution in various creative ways vs. not so.
BP200
BP335
BP344
BP346
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP361
BP362
BP372
BP373
BP380
BP548
BP792
BP793
BP796
BP802
BP803
BP805
BP827
BP828
BP829
BP831
BP833
BP834
BP835
BP836
BP843
BP845
BP846

. . .

BP1
BP4
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COMMENTS

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

Be encouraged to contribute new interesting examples to Bongard Problems with this keyword.


There is much overlap with the keyword hardsort.



This is what it usually means to say examples fit on (e.g.) the left of a Bongard Problem in various creative ways: there is no (obvious) general method to determine a left-fitting example fits left.


There is a related idea in computability theory: a "non recursively enumerable" property is one that cannot in general be checked by a computer algorithm.

But keep in mind the tag "creativeexamples" is supposed to mean something less formal. For example, it requires no ingenuity for a human being to check when a simple shape is convex or concave (so BP4 is not labelled "creativeexamples"). However, it is not as if we use an algorithm to do this, like a computer. (It is not even clear what an "algorithm" would mean in this context, since it is ambiguous both what class of shapes the Bongard Problem sorts and how that would be encoded into a computer program's input. There are usually many options and ambiguities like this whenever one tries to formalize the content of a Bongard Problem.)

CROSSREFS

Adjacent-numbered pages:
BP861 BP862 BP863 BP864 BP865  *  BP867 BP868 BP869 BP870 BP871

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1142 Bongard Problems where there is no way to turn an example into any other sorted example by adding black OR white (not both) vs. Bongard Problems where some example can be altered in this way and remain sorted.
BP285
BP304
BP328
BP329
BP342
BP801
BP934
BP1017
BP1056
BP1104
BP1145
BP1155
BP1156
BP859
BP962
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted problems have the keyword "finishedexamples" on the OEBP.


The addition does not have to be slight.


Left-sorted Problems usually have a very specific collection of examples, where the only images sorted all show the same type of object.


Any Bongard Problem where all examples are one shape outline will be sorted left, and (almost) any Bongard Problem where all examples are one fill shape will be sorted right.

CROSSREFS

See BP1144 for the version about both additions and erasures, and only slight changes are considered.


See BP1167 for a stricter version, the condition that all examples have the same amount of black and white.

Adjacent-numbered pages:
BP1137 BP1138 BP1139 BP1140 BP1141  *  BP1143 BP1144 BP1145 BP1146 BP1147

KEYWORD

unwordable, notso, meta (see left/right), links, keyword, sideless, problemkiller

AUTHOR

Leo Crabbe

BP1158 Bongard Problems in which each example communicates a rule vs. other Bongard Problems.
BP346
BP349
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP361
BP362
BP365
BP372
BP379
BP380
BP393
BP792
BP805
BP839
BP841
BP843
BP845
BP846
BP848
BP849
BP852
BP855
BP870
BP893
BP917
BP951
BP973
BP975
BP979

. . .

?
BP347
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COMMENTS

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


In the typical "rules" Bongard Problem, it is possible to come up with many convoluted rules that fit each example, but the intended interpretation is the only simple and obvious one.


Since it is difficult to communicate a rule with little detail, "rules" Bongard Problems are usually infodense.

Typically, each example is itself a bunch of smaller examples that all obey the rule. It is the same as how a Bongard Problems relies on many examples to communicate rules; it likely wouldn't get the answer across with just one example.

Often, each rule is communicated just by showing some examples of things satisfying it placed next to each other. (See keywords left-narrow and right-narrow.) Contrast Bongard Problems, which are more communicative, by showing some examples satisfying the rule and some examples NOT satisfying the rule.

BP1157 is an example of a "rules" Bongard Problem in which each intended rule is communicated by just one example of its application; these rules have to be particularly simple and intuitive, and the individual examples have to be complicated enough to communicate them.


A "rules" Bongard Problem is often collective. Some examples may admit multiple equally plausible rules, and the correct interpretation of each example only becomes clear once the solution is known. The group of examples together improve the solver's confidence about having understood each individual one right.

It is common that there will be one or two examples with multiple reasonable interpretations due to oversight of the author.

CROSSREFS

All meta Bongard Problems are "rules" Bongard Problems.

Many of the other Bongard-Problem-like structures seen on the OEBP are also about recognizing a pattern. (See keyword structure.)


"Rules" Bongard Problems are abstract, although the individual rules in them may not be abstract. "Rules" Bongard Problems also usually have the keyword creativeexamples.

Adjacent-numbered pages:
BP1153 BP1154 BP1155 BP1156 BP1157  *  BP1159 BP1160 BP1161 BP1162 BP1163

KEYWORD

fuzzy, meta (see left/right), links, keyword, left-self, rules

AUTHOR

Aaron David Fairbanks

BP1164 Visual Bongard Problems where stretching (or compressing) any sorted example renders the example unsortable vs. visual Bongard Problems where some example can be stretched along some axis and remain sorted.
BP834
BP1062
BP1097
BP1105
BP1138
BP1155
BP95
BP1145
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Problems often have a specific format or deal with specific geometric shapes.


Almost any Problem that sorts the all-white or all-black panels will be sorted right.

CROSSREFS

Adjacent-numbered pages:
BP1159 BP1160 BP1161 BP1162 BP1163  *  BP1165 BP1166 BP1167 BP1168 BP1169

KEYWORD

notso, meta (see left/right), links, problemkiller

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1166 Visual Bongard Problems whose sorted examples all have a nonzero minimum amount of black in them vs. other visual Bongard Problems.
BP301
BP1072
BP1147
BP1149
BP1153
BP1155
BP1156
BP1168
BP1161
(edit; present; nest [left/right]; search; history)
COMMENTS

Not all visual Bongard Problems whose examples all have some amount of black in them are sorted left. In left-sorted BPs, there must be some concrete percentage of black that is exceeded by every sorted example.

CROSSREFS

Adjacent-numbered pages:
BP1161 BP1162 BP1163 BP1164 BP1165  *  BP1167 BP1168 BP1169 BP1170 BP1171

KEYWORD

meta (see left/right), links

AUTHOR

Leo Crabbe

BP1167 Visual Bongard Problems whose sorted examples all have the same amount of black and white in them vs. other visual Bongard Problems.
BP285
BP801
BP934
BP1017
BP1056
BP1155
BP1156
BP284
BP1089
(edit; present; nest [left/right]; search; history)
CROSSREFS

All left BPs would be tagged finishedexamples.

Adjacent-numbered pages:
BP1162 BP1163 BP1164 BP1165 BP1166  *  BP1168 BP1169 BP1170 BP1171 BP1172

KEYWORD

precise, notso, meta (see left/right), links, sideless

AUTHOR

Leo Crabbe

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