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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

BP550 Experimental Bongard Problems vs. traditional-style Bongard Problems.
BP195
BP200
BP300
BP359
BP538
BP544
BP545
BP548
BP555
BP570
BP793
BP795
BP797
BP801
BP812
BP813
BP844
BP854
BP859
BP862
BP868
BP902
BP911
BP915
BP920
BP939
BP941
BP942
BP953
BP955
BP957
BP959
BP1008
BP1056
BP1073

. . .

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

. . .

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

Left examples have the keyword "experimental" on the OEBP.

Right examples have the keyword "traditional" on the OEBP.


Experimental BPs push the boundaries of what makes Bongard Problems Bongard Problems.


Traditional BPs show some simple property of black and white pictures. The OEBP is a place with many wild and absurd Bongard Problems, so it is useful to have an easy way to just find the regular old Bongard Problems.

CROSSREFS

Adjacent-numbered pages:
BP545 BP546 BP547 BP548 BP549  *  BP551 BP552 BP553 BP554 BP555

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP563 Bongard Problems such that there is a way of making an infinite list of all relevant possible left-sorted examples vs. Bongard Problems where there is no such way of listing all left-sorted examples.
BP386
BP394
BP904
BP922
BP926
BP931
BP956
BP997
BP1057
BP1072
BP1146
BP1148
BP1149
BP1150
BP1197
BP1199
BP1200
BP1201
BP319
BP345
BP351
BP559
BP818
?
BP329
(edit; present; nest [left/right]; search; history)
COMMENTS

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


All the possible left examples for the BPs on the left side of this problem could be listed in one infinite sequence. Right examples here are Problems for which no such sequence can exist.


This depends on deciding what images should be considered "the same thing", which is subjective and context-dependent.


All examples in this Bongard Problem have an infinite left side (they do not have the keyword left-finite).


The mathematical term for a set that can be organized into an infinite list is a "countably infinite" set, as opposed to an "uncountably infinite" set.

Another related idea is a "recursively enumerable" a.k.a. "semi-decidable" set, which is a set that a computer program could list the members of.

The keyword "left-listable" is meant to be for the more general idea of a countable set, which does not have to do with computer algorithms.


Note that this is not just BP940 (right-listable) flipped.


It seems in practice, Bongard Problems that are left-listable are usually also right-listable because the whole class of relevant examples is listable. A keyword for just plain "listable" may be more useful. Or instead keywords for left- versus right- semidecidability, in the sense of computing. - Aaron David Fairbanks, Jan 10 2023

REFERENCE

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

CROSSREFS

See left-finite, which distinguishes between a finite left side and infinite left side.


"Left-listable" BPs are typically precise.

Adjacent-numbered pages:
BP558 BP559 BP560 BP561 BP562  *  BP564 BP565 BP566 BP567 BP568

KEYWORD

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

WORLD

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

AUTHOR

Leo Crabbe

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

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