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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 Bongard Problem can be narrow, e.g. BP6.

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

A Bongard Problem such that one side is narrow and the other side is the non-narrow opposite reads as the narrow side being a subset of the other. See BP881.


What seems like a typical example depends on expectations. (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".) See the keyword stable.


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

BP515 Bongard Problems with a finite number of possible left examples vs. not.
BP1
BP244
BP376
BP385
BP504
BP538
BP795
BP854
BP868
BP902
BP920
BP934
BP959
BP962
BP1056
BP1097
BP1156
BP1219
BP1220
BP1223
BP1263
BP1269
BP1197
?
BP1146
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-finite" in the OEBP.


How to distinguish between different examples depends on the Bongard Problem. For example, in BPs about little black dots, examples may be considered the same when they have the same number of dots in all the same positions.


Note that this is not just BP516 (right-finite) flipped.

CROSSREFS

"Left-finite" implies left-narrow.

See left-listable, which is about an infinite left side that can be organized into a neverending list versus infinite left side that cannot be organized into a neverending list.


"Left-finite" BPs are typically precise.


See BP1032 for a version that sorts images of Bongard Problems (miniproblems) instead of links, and which only sorts images of Bongard Problems about numbers.

Adjacent-numbered pages:
BP510 BP511 BP512 BP513 BP514  *  BP516 BP517 BP518 BP519 BP520

KEYWORD

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

WORLD

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

AUTHOR

Aaron David Fairbanks

BP517 Meta Bongard Problems that sort themselves left vs. meta Bongard Problems that sort themselves right.
BP512
BP518
BP537
BP541
BP542
BP544
BP547
BP561
BP794
BP867
BP902
BP967
BP1000
BP1007
BP1074
BP1075
BP1113
BP1126
BP1150
BP1158
BP508
BP509
BP522
BP539
BP546
BP565
BP821
BP895
BP919
BP950
BP1162
BP1194
BP1242
?
BP517
?
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-self" on the OEBP. Right-sorted BPs have the keyword "right-self."

These keywords are added to pages automatically.


Rhetorical questions: Where does this BP sort itself? Where does this BP sort the flipped version of itself?

CROSSREFS

See BP793 for the version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.


See BP1075 for an example of a BP that is tagged "left-self" but would still be tagged "left-self" after the sides in the title were flipped. (This is unusual; a "left-self" BP after being flipped is typically "right-self" and vice versa.)

Adjacent-numbered pages:
BP512 BP513 BP514 BP515 BP516  *  BP518 BP519 BP520 BP521 BP522

KEYWORD

nice, dual, meta (see left/right), links, keyword, side, metameta, feedback

WORLD

Multiple options:
linksbp [smaller | same | bigger],
bp_in_own_world [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP522 Invalid Bongard Problems vs. valid Bongard Problems.
BP237
BP301
BP538
BP545
BP812
BP882
BP902
BP939
BP941
BP942
BP1056
BP1141
BP1174
BP1263
BP1
BP522
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems that break the rules or spirit of Bongard Problems but are interesting enough to keep in the database.

CROSSREFS

See BP829 and BP968 (flipped) for versions with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

Adjacent-numbered pages:
BP517 BP518 BP519 BP520 BP521  *  BP523 BP524 BP525 BP526 BP527

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP537 Meta Bongard Problems vs. other Bongard Problems.
BP200
BP501
BP503
BP504
BP506
BP507
BP508
BP509
BP510
BP511
BP512
BP513
BP514
BP515
BP516
BP517
BP518
BP519
BP520
BP521
BP522
BP526
BP534
BP535
BP537
BP539
BP541
BP542
BP544
BP546
BP547
BP549
BP550
BP552
BP553

. . .

BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
?
BP1080
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Meta Bongard Problems are Bongard Problems that sort Bongard Problems. Sometimes abbreviated MBPs.


The first meta Bongard Problem was BP200.


Some meta BP pages sort images of Bongard Problems (keyword miniproblems), while other meta BP pages sort other BP pages (keyword links).

CROSSREFS

BPs that sort meta-BPs are labelled metameta.

Adjacent-numbered pages:
BP532 BP533 BP534 BP535 BP536  *  BP538 BP539 BP540 BP541 BP542

KEYWORD

meta (see left/right), links, keyword, world, left-self, sideless, metameta, left-full, feedback

CONCEPT recursion (info | search)

WORLD

bp [smaller | same | bigger]
zoom in left (linksbp)

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

BP567 Visual Bongard Problems that would sort a blank panel on the left vs. visual Bongard Problems that would sort a blank panel on the right.
BP1
BP137
BP384
BP525
BP544
BP569
BP904
BP905
BP915
BP945
BP962
BP1056
BP1219
BP1260
BP1261
BP1262
BP211
BP334
BP364
BP541
BP542
BP902
BP953
BP959
BP966
BP988
BP989
BP1008
BP1080
BP1089
BP1093
BP1108
BP1141
BP1151
BP1161
BP1220
BP1249
BP1252
BP1263
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-null" on the OEBP.

Right-sorted BPs have the keyword "right-null" on the OEBP.

CROSSREFS

See BP796 for the version with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

See BP1160 for the version about an all-black panel instead of all-white.

Adjacent-numbered pages:
BP562 BP563 BP564 BP565 BP566  *  BP568 BP569 BP570 BP571 BP572

KEYWORD

meta (see left/right), links, keyword, side, wellfounded, testexample

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP573 BP page intends to include all possible examples fitting left vs. other BP pages.
BP1
BP537
BP854
BP868
BP902
BP920
BP959
BP962
BP1056
BP1156
BP1219
BP1220
BP1263
BP867
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-full" on the OEBP.


For meta-BPs about solution ideas, left-full only means the BP page hopes to include all fitting BP pages on the OEBP (as opposed to all possible Bongard Problems).


As with applying the keywords left-finite and right-finite, deciding what should count as "different" examples depends on the Bongard Problem.


Note this is not just BP574 (right-full) flipped.


TODO: Maybe this should be changed into two keywords: one for non-meta-BPs and one for meta-BPs. - Aaron David Fairbanks, Feb 11 2021

CROSSREFS

For non-meta BPs, left-full implies left-finite (at least until the OEBP implements a feature that allows algorithmic generation of infinite examples).

Adjacent-numbered pages:
BP568 BP569 BP570 BP571 BP572  *  BP574 BP575 BP576 BP577 BP578

KEYWORD

meta (see left/right), links, keyword

WORLD

bppage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP691 Bongard Problem with solution relating to concept: self-reference vs. Bongard Problem unrelated to this concept.
BP188
BP344
BP390
BP529
BP530
BP531
BP532
BP533
BP538
BP545
BP818
BP902
BP931
BP953
BP954
BP955
BP957
BP959
BP961
BP987
BP998
BP999
BP1002
BP1003
BP1004
BP1005
BP1006
BP1058
BP1059
BP1060
BP1061
BP1062
BP1063
BP1065
BP1066

. . .

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

Adjacent-numbered pages:
BP686 BP687 BP688 BP689 BP690  *  BP692 BP693 BP694 BP695 BP696

KEYWORD

meta (see left/right), links, metaconcept, primitive, left-it, feedback

CONCEPT This MBP is about BPs that feature concept: "self-reference"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP773 Bongard Problem with solution relating to concept: specificity vs. Bongard Problem unrelated to this concept.
BP100
BP153
BP154
BP155
BP158
BP170
BP197
BP214
BP228
BP229
BP839
BP902
BP920
BP1008
BP1058
BP1063
(edit; present; nest [left/right]; search; history)
CROSSREFS

See keyword arbitrary.

Adjacent-numbered pages:
BP768 BP769 BP770 BP771 BP772  *  BP774 BP775 BP776 BP777 BP778

KEYWORD

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

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

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