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BP1139 Bongard Problems where, given any example, there is a way to add details to it (without erasing) such that it is sorted on the other side vs. BPs where this is not the case.
BP35
BP50
BP62
BP72
BP322
BP335
BP388
BP391
BP533
BP935
BP937
BP969
BP977
BP986
BP1016
BP1099
BP1100
BP1101
BP1109
BP1
BP2
BP22
BP23
BP70
BP788
BP892
BP920
BP932
BP933
BP949
BP971
BP972
BP1102
BP1136
?
BP966
(edit; present; nest [left/right]; search; history)
COMMENTS

This classification is specifically concerned with changes to examples that leave them sortable, as there are almost always ways of adding details to a BP's examples that make them unsortable.


Right-sorted BPs in this Bongard Problem are often Bongard Problems where there is always a way of adding to left-sorted examples to make them right-sorted, but not the other way around, or vice versa.


Another version of this Bongard Problem could be made about adding white (erasure of detail) instead of black (addition of detail).

Another version could be made about adding either white or black, but not both.


Where appropriate, you can assume all images will have some room in a lip of white background around the border (ignoring https://en.wikipedia.org/wiki/Sorites_paradox ).


You can't expand the boundary of an image as you add detail to it. If image boundaries could be expanded, then any shape could be shrunken to a point in relation to the surrounding whiteness, which could then be filled in to make any other shape.



How should this treat cases in which just a few examples can't be added to at all (like an all-black box)? E.g. BP966. Should this be sorted right (should the one special case of a black box spoil it) or should it be sorted left (should examples that can't at all be further added be discounted)? Maybe we should only sort BPs in which all examples can be further added to. (See BP1143left.) - Aaron David Fairbanks, Nov 12 2021


Is "addition of detail" context-dependent, or does it just mean any addition of blackness to the image? Say you have a points-and-lines Bongard Problem like BP1100, and you're trying to decide whether to sort it left or right here. You would just want to think about adding more points and lines to the picture. You don't want to get bogged down in thinking about whether black could be added to the image in a weird way so that a point gets turned into a line, or something. - Aaron David Fairbanks, Nov 13 2021

CROSSREFS

See BP1139 for Bongard Problems in which no example can be added to, period.

Adjacent-numbered pages:
BP1134 BP1135 BP1136 BP1137 BP1138  *  BP1140 BP1141 BP1142 BP1143 BP1144

KEYWORD

meta (see left/right), links, sideless

AUTHOR

Leo Crabbe

BP1140 Bongard Problems where there is a way of adding details to some example (without erasing) that would sort it on the other side vs. Bongard Problems where there is no way of adding details to examples that would sort them on the other side.
BP1
BP2
BP3
BP4
BP6
BP14
BP15
BP335
BP5
BP8
BP10
BP11
BP12
BP13
BP16
(edit; present; nest [left/right]; search; history)
COMMENTS

This classification is specifically concerned with changes to examples that leave them sortable, as there are almost always ways of adding details to a BP's examples that make them unsortable.


Another version of this Bongard Problem could be made about adding white (erasure of detail) instead of black (addition of detail).

Another version could be made about adding either white or black, but not both.

CROSSREFS

Closely related to gap Problems and stable Problems.

Bongard Problems tagged finishedexamples will fit right.

Adjacent-numbered pages:
BP1135 BP1136 BP1137 BP1138 BP1139  *  BP1141 BP1142 BP1143 BP1144 BP1145

KEYWORD

meta (see left/right), links, sideless, invariance

AUTHOR

Leo Crabbe

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
BP1223
BP1269
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

BP1143 Bongard Problems where a visual addition (not erasing) can be made to any example such that it would still fit in the Bongard Problem vs. Bongard Problems where some example(s) are "maximal" (cannot be added to).
BP1
BP335
(edit; present; nest [left/right]; search; history)
COMMENTS

Any Bongard Problem that allows a fully black box fits right.


Another version of this Bongard Problem could be made about adding white (erasure of detail) instead of black (addition of detail).

Another version could be made about adding one of either white or black (but not both).

REFERENCE

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

CROSSREFS

Bongard Problems tagged finishedexamples will fit right.

Adjacent-numbered pages:
BP1138 BP1139 BP1140 BP1141 BP1142  *  BP1144 BP1145 BP1146 BP1147 BP1148

KEYWORD

meta (see left/right), links

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1144 Bongard Problems where making any small change to any sorted example renders the example unsortable vs. other Bongard Problems.
BP859
BP962
BP1104
(edit; present; nest [left/right]; search; history)
COMMENTS

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

CROSSREFS

See unstable vs. stable, which is about examples switching sides upon small changes instead of being rendered unsortable.

See unstableworld vs. stableworld, which is about SOME small change to SOME example making it no longer fit in.

See BP1142 for the version only about additions of detail (no erasures), and with no restriction on them being slight additions.

Adjacent-numbered pages:
BP1139 BP1140 BP1141 BP1142 BP1143  *  BP1145 BP1146 BP1147 BP1148 BP1149

KEYWORD

meta (see left/right), links, problemkiller

AUTHOR

Aaron David Fairbanks

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

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

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

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

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

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