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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

BP508 Bongard Problems with precise definitions vs. Bongard Problems with vague definitions.
BP1
BP3
BP4
BP6
BP13
BP23
BP31
BP67
BP72
BP103
BP104
BP210
BP292
BP312
BP321
BP322
BP324
BP325
BP329
BP334
BP344
BP348
BP367
BP368
BP376
BP384
BP386
BP389
BP390
BP391
BP523
BP527
BP557
BP558
BP559

. . .

BP2
BP9
BP10
BP11
BP12
BP14
BP62
BP119
BP148
BP364
BP393
BP505
BP508
BP509
BP511
BP524
BP571
BP812
BP813
BP847
BP865
BP894
BP895
BP939
BP1002
BP1111
BP1158
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Bongard Problems sorted right have the keyword "fuzzy" on the OEBP.


In an precise Bongard Problem, any relevant example is either clearly sorted left, clearly sorted right, or clearly not sorted.

(All relevant examples clearly sorted either left or right is the keyword allsorted.)


How can it be decided whether or not a rule is precise? How can it be decided whether or not a rule classifies all "examples that are relevant"? There needs to be another rule to determine which examples the original rule intends to sort. Bongard Problems by design communicate ideas without fixing that context ahead of time. The label "precise" can only mean a Bongard Problem's rule seems precise to people who see it. (This "precise vs. fuzzy" Bongard Problem is fuzzy.)


In an precise "less than ___ vs. greater than ___" Bongard Problem (keyword spectrum), the division between the sides is usually an apparent threshold. For example, there is an intuitive threshold between acute and obtuse angles (see e.g. BP292).


As a rule of thumb, do not consider imperfections of hand drawn images (keyword ignoreimperfections) when deciding whether a Bongard Problem is precise or fuzzy. Just because one can draw a square badly does not mean "triangle vs. quadrilateral" (BP6) should be labelled fuzzy; similar vagueness arises in all hand-drawn Bongard Problems. (For Bongard Problems in which fine subtleties of drawings, including small imperfections, are meant to be considered, use the keyword perfect.)


Sometimes the way a Bongard Problem would sort certain examples is an unsolved problem in mathematics. (See e.g. BP820.) There is a precise criterion that has been used to verify each sorted example fits where it fits (some kind of mathematical proof); however, where some examples fit is still unknown. Whether or not such a Bongard Problem should be labelled "precise" might be debated.

(Technical note: some properties are known to be undecidable, and sometimes the decidability itself is unknown. See https://en.wikipedia.org/wiki/Decision_problem .)

(See the keyword proofsrequired.)

One way to resolve this ambiguity is to define "precise" as meaning that once people decide where an example belongs for a reason, they will all agree about it.


Sometimes the class of all examples in a Bongard Problem is imprecise, but, despite that, the rule sorting those examples is precise. Say, for some potential new example, it is unclear whether it should be included in the Bongard Problem at all, but, if it were included, it would be clear where it should be sorted (or that it should be left unsorted). A Bongard Problem like this can still be tagged "precise".

(If all examples are clearly sorted except for some example for which it is unclear whether it belongs to the class of relevant examples, the situation becomes ambiguous.)

On the other hand, sometimes the class of all examples is very clear, with an obvious boundary. (Keyword preciseworld.)


There is a subtle distinction to draw between Bongard Problems that are precise to the people making them and Bongard Problems that are precise to the people solving them. A Bongard Problem (particularly a non-allsorted one) might be labeled "precise" on the OEBP because the description and the listed ambiguous examples explicitly forbid sorting certain border cases; however, someone looking at the Bongard Problem without access to the OEBP page containing the definition would not be aware of this. It may or may not be obvious that certain examples were intentionally left out of the Bongard Problem. A larger collection of examples may make it more clear that a particularly blatant potential border case was left out intentionally.

CROSSREFS

See BP876 for the version with pictures of Bongard Problems instead of links to pages on the OEBP.

See both and neither for specific ways an example can be classified as unsorted in an "precise" Bongard Problem.

Adjacent-numbered pages:
BP503 BP504 BP505 BP506 BP507  *  BP509 BP510 BP511 BP512 BP513

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP526 Bongard Problem with solution relating to concept: circle vs. Bongard Problem unrelated to this concept.
BP24
BP525
BP527
BP970
BP1011
BP1019
BP1132
BP1260
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP521 BP522 BP523 BP524 BP525  *  BP527 BP528 BP529 BP530 BP531

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP687 Bongard Problem with solution relating to concept: recursion vs. Bongard Problem unrelated to this concept.
BP70
BP71
BP167
BP186
BP188
BP322
BP344
BP531
BP532
BP533
BP537
BP538
BP545
BP547
BP794
BP952
BP953
BP954
BP956
BP959
BP961
BP977
BP987
BP992
BP999
BP1002
BP1003
BP1004
BP1005
BP1006
BP1007
BP1019
BP1022
BP1058
BP1059

. . .

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

Adjacent-numbered pages:
BP682 BP683 BP684 BP685 BP686  *  BP688 BP689 BP690 BP691 BP692

KEYWORD

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

CONCEPT This MBP is about BPs that feature concept: "recursion"
Searchable synonyms: "nesting".

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP885 Bongard Problems relating to concept: two vs. other Bongard Problems.
BP23
BP31
BP70
BP71
BP141
BP142
BP144
BP147
BP156
BP166
BP167
BP169
BP181
BP205
BP220
BP302
BP343
BP828
BP949
BP1019
BP1047
BP1053
BP1054
BP1058
BP1063
BP1068
BP1138
BP1197
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP880 BP881 BP882 BP883 BP884  *  BP886 BP887 BP888 BP889 BP890

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "two"
Searchable synonyms: "2".

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP886 Bongard Problems relating to concept: three vs. other Bongard Problems.
BP6
BP10
BP39
BP40
BP85
BP86
BP88
BP89
BP90
BP91
BP141
BP142
BP144
BP147
BP156
BP166
BP167
BP255
BP302
BP308
BP531
BP806
BP925
BP949
BP1019
BP1047
BP1049
BP1053
BP1063
BP1138
BP1226
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP881 BP882 BP883 BP884 BP885  *  BP887 BP888 BP889 BP890 BP891

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "three"
Searchable synonyms: "3".

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1020 Bongard Problem with solution relating to concept: number of recursions vs. Bongard Problem unrelated to this concept.
BP70
BP71
BP547
BP992
BP1007
BP1019
BP1022
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1015 BP1016 BP1017 BP1018 BP1019  *  BP1021 BP1022 BP1023 BP1024 BP1025

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1021 Bongard Problem with solution relating to concept: enclosed or separated regions of negative space vs. Bongard Problem unrelated to this concept.
BP122
BP322
BP889
BP899
BP966
BP977
BP1019
BP1022
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1016 BP1017 BP1018 BP1019 BP1020  *  BP1022 BP1023 BP1024 BP1025 BP1026

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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