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BP1159 Bongard Problems where examples are only sorted left if nothing indicates that they would be sorted right vs. vice-versa.
BP250
BP333
BP525
BP823
BP1230
BP1183
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "right-couldbe".


In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "left-couldbe" BPs sound like "Could be a ___ vs. definitely not a ___" (and vice versa for "right-couldbe" BPs.)



To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.


Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords left-narrow and right-narrow), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.

REFERENCE

Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely an image of a circle, but they fit left because nothing indicates that they are not an image of a circle. A more pedantic solution to this Bongard Problem would be "There is a way of cropping a circle that gives this image vs. there isn't."

CROSSREFS

See also the keyword seemslike, where neither side can be confirmed.


Either "left-couldbe" or "right-couldbe" implies notso.


Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to left-unknowable and right-unknowable, they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.


"Left-couldbe" is usually left-narrow and "right-couldbe" usually right-narrow.

Adjacent-numbered pages:
BP1154 BP1155 BP1156 BP1157 BP1158  *  BP1160 BP1161 BP1162 BP1163 BP1164

KEYWORD

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

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
(edit; present; nest [left/right]; search; history)
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; likely just one example wouldn't get the answer across.

On the other hand, in BP1157 for example, each intended rule is communicated by just one example; these rules have to be particularly simple and intuitive, and the individual examples have to be complicated enough to communicate them.

Often, each rule is communicated by showing several examples of things satisfying it. (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.


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 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

BP1157 The order in which the objects in the top half are combined to make the object in the lower half matters vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Operations depicted in right-sorted examples are called "commutative".


"Order matters" here means that if the objects in the top half were to switch places, the output would look different.

REFERENCE

https://en.wikipedia.org/wiki/Commutative_property

CROSSREFS

Adjacent-numbered pages:
BP1152 BP1153 BP1154 BP1155 BP1156  *  BP1158 BP1159 BP1160 BP1161 BP1162

KEYWORD

nice, abstract, unwordable, notso, structure, rules, miniworlds

CONCEPT function (info | search)

AUTHOR

Leo Crabbe

BP1156 Centred vs. not.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1151 BP1152 BP1153 BP1154 BP1155  *  BP1157 BP1158 BP1159 BP1160 BP1161

KEYWORD

precise, minimal, boundingbox, left-finite, left-full, perfect, pixelperfect, finishedexamples, preciseworld, absoluteposition

CONCEPT center (info | search)

AUTHOR

Leo Crabbe

BP1155 Shapes are sorted according to a simple rule that uniquely determines where everything goes vs. shapes are sorted according to some other rule (or lack thereof).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1150 BP1151 BP1152 BP1153 BP1154  *  BP1156 BP1157 BP1158 BP1159 BP1160

KEYWORD

abstract, unwordable, creativeexamples, right-unknowable, traditional, finishedexamples, rules

AUTHOR

Leo Crabbe

BP1154 Visual Bongard Problems about Bongard Problems vs. other visual Bongard Problems.
BP805
BP1151
BP1153
BP961
(edit; present; nest [left/right]; search; history)
COMMENTS

This Problem is mostly concerned with categorising BPs whose examples aren't necessarily formatted as traditional Bongard Problems.

CROSSREFS

Adjacent-numbered pages:
BP1149 BP1150 BP1151 BP1152 BP1153  *  BP1155 BP1156 BP1157 BP1158 BP1159

KEYWORD

meta (see left/right), links

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1153 Valid multi-sided Bongard Problems vs. invalid multi-sided Bongard Problems.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is a generalisation of Bongard Problems that allows them to have any number of sides. There is a sense in which this problem is about valid vs. invalid ways of partitioning a set of examples into equivalence classes.

CROSSREFS

https://en.wikipedia.org/wiki/Equivalence_class

Adjacent-numbered pages:
BP1148 BP1149 BP1150 BP1151 BP1152  *  BP1154 BP1155 BP1156 BP1157 BP1158

KEYWORD

abstract, teach, meta (see left/right), miniproblems, infodense, structure, rules, miniworlds

WORLD

zoom in left

AUTHOR

Leo Crabbe

BP1152 Solution involves discrete quantity vs. solution involves continuous quantity.
BP28
BP29
BP53
BP1044
BP1046
BP2
BP36
BP37
BP38
BP62
BP67
BP79
BP173
BP176
BP196
BP211
BP338
BP1255
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Bongard Problems sorted right have the keyword "continuous".

CROSSREFS

All examples are spectrum Bongard Problems.


See BP873 for the version with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

Adjacent-numbered pages:
BP1147 BP1148 BP1149 BP1150 BP1151  *  BP1153 BP1154 BP1155 BP1156 BP1157

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

BP1151 Section of the image is a Bongard Problem vs. no section of the image is a Bongard Problem.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1146 BP1147 BP1148 BP1149 BP1150  *  BP1152 BP1153 BP1154 BP1155 BP1156

KEYWORD

right-null

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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