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BP503 "Nice" Bongard Problems vs. Bongard Problems the OEBP does not need more like.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP11
BP12
BP15
BP16
BP20
BP23
BP30
BP32
BP33
BP50
BP51
BP57
BP59
BP62
BP70
BP71
BP72
BP74
BP76
BP77
BP85
BP97
BP98
BP100
BP106
BP108

. . .

BP213
BP214
BP221
BP231
BP237
BP262
BP538
BP545
BP548
BP555
BP570
BP801
BP862
BP882
BP915
BP920
BP941
BP1000
BP1008
BP1042
BP1043
BP1129
BP1150
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "less." They are not necessarily "bad," but we do not want more like them.

CROSSREFS

Adjacent-numbered pages:
BP498 BP499 BP500 BP501 BP502  *  BP504 BP505 BP506 BP507 BP508

KEYWORD

subjective, meta (see left/right), links, keyword, oebp, right-finite, left-it, feedback, time

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 BP can be narrow, e.g. BP6.

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


What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (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".)


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

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

BP653 Bongard Problem with solution relating to concept: intersection (of sets) vs. Bongard Problem unrelated to this concept.
BP339
BP345
BP373
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP648 BP649 BP650 BP651 BP652  *  BP654 BP655 BP656 BP657 BP658

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "set_intersection"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP713 Bongard Problem with solution relating to concept: union (of sets) vs. Bongard Problem unrelated to this concept.
BP324
BP339
BP345
BP373
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP708 BP709 BP710 BP711 BP712  *  BP714 BP715 BP716 BP717 BP718

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "set_union"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP740 Bongard Problem with solution relating to concept: imaginary shape vs. Bongard Problem unrelated to this concept.
BP96
BP97
BP101
BP138
BP193
BP194
BP344
BP345
BP362
BP390
BP391
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP735 BP736 BP737 BP738 BP739  *  BP741 BP742 BP743 BP744 BP745

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "imagined_shape"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP741 Bongard Problem with solution relating to concept: imaginary entity vs. Bongard Problem unrelated to this concept.
BP52
BP64
BP73
BP74
BP78
BP81
BP96
BP97
BP101
BP102
BP103
BP104
BP106
BP112
BP117
BP131
BP133
BP134
BP138
BP154
BP161
BP162
BP163
BP178
BP183
BP184
BP193
BP194
BP199
BP235
BP238
BP239
BP240
BP245
BP249

. . .

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

Adjacent-numbered pages:
BP736 BP737 BP738 BP739 BP740  *  BP742 BP743 BP744 BP745 BP746

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "imagined_entity"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP747 Bongard Problem with solution relating to concept: overlapping vs. Bongard Problem unrelated to this concept.
BP45
BP46
BP81
BP163
BP259
BP275
BP301
BP325
BP345
BP1015
BP1017
BP1094
BP1120
BP1131
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP742 BP743 BP744 BP745 BP746  *  BP748 BP749 BP750 BP751 BP752

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "overlap"
Searchable synonyms: "overlapping", "intersection".

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP1188 Bongard Problems where there exists an overlap between the collections shown left and right vs. other Bongard Problems.
BP328
BP339
BP345
BP932
BP961
BP1108
BP1242
BP1
(edit; present; nest [left/right]; search; history)
COMMENTS

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


The archetypal example is "rhombuses vs. rectangles".


Notice "rhombuses vs. rectangles" could alternatively be interpreted as "not rectangles vs. not rhombuses"; by this less natural interpretation, a square would fit on neither side (keyword neither) rather than both.


In fact, for any Bongard Problem solution "A vs. B", there are three alternative solution descriptions: "A vs. not A", "not B vs. B", and "not B vs. not A". These are not necessarily just different wordings of the same answer. For example, "rhombuses vs. not rhombuses" and "not rectangles vs. rectangles" differ on where they would sort a square. (This discrepancy between "A vs. not A" and "B vs. not B" occurs whenever "A vs. B" does not sort all relevant cases. See the keyword allsorted.)


"Is a rhombus" and "is a rectangle" are what are on the OEBP called "narrow" patterns, while "is not a rectangle" and "is not a rhombus" are not. (See keywords left-narrow and right-narrow for more explanation.)

CROSSREFS

The keywords both and allsorted are mutually exclusive.

Adjacent-numbered pages:
BP1183 BP1184 BP1185 BP1186 BP1187  *  BP1189 BP1190 BP1191 BP1192 BP1193

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

BP1194 Bongard Problems listed in Harry E. Foundalis's collection vs. not.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP31
BP32
BP33
BP34
BP35

. . .

BP501
BP503
BP504
BP505
BP506
BP507
BP508
BP509
BP510
BP1194
(edit; present; nest [left/right]; search; history)
COMMENTS

Alternatively, BP pages on the OEBP with number less than or equal to 394 vs. other BP pages.

REFERENCE

https://www.foundalis.com/res/bps/bpidx.htm

CROSSREFS

Adjacent-numbered pages:
BP1189 BP1190 BP1191 BP1192 BP1193  *  BP1195 BP1196 BP1197 BP1198 BP1199

EXAMPLE

Foundalis's collection includes all Bongard Problems by Bongard.

KEYWORD

meta (see left/right), links, right-self, time

AUTHOR

Aaron David Fairbanks

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