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Search: +ex:BP356
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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

BP638 Bongard Problem with solution relating to concept: fractal vs. Bongard Problem unrelated to this concept.
BP355
BP356
BP528
BP529
BP530
BP531
BP532
BP533
BP953
BP954
BP959
BP961
BP987
BP1002
BP1058
BP1059
BP1060
BP1061
BP1062
BP1063
BP1065
BP1066
BP1067
BP1068
BP1069
BP1070
BP1071
BP1077
BP1107
BP1108
BP1114
BP1115
BP1116
BP1118
BP1119

. . .

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

Adjacent-numbered pages:
BP633 BP634 BP635 BP636 BP637  *  BP639 BP640 BP641 BP642 BP643

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP654 Bongard Problem with solution relating to concept: iteration (discrete, within the example) vs. Bongard Problem unrelated to this concept.
BP318
BP350
BP351
BP352
BP353
BP355
BP356
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP649 BP650 BP651 BP652 BP653  *  BP655 BP656 BP657 BP658 BP659

KEYWORD

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

CONCEPT This MBP is about BPs that feature concept: "iteration"
Searchable synonyms: "counting".

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP708 Bongard Problem with solution relating to concept: tracing along a line or curve vs. Bongard Problem unrelated to this concept.
BP16
BP43
BP52
BP55
BP67
BP68
BP69
BP70
BP72
BP74
BP102
BP105
BP115
BP120
BP179
BP180
BP198
BP208
BP278
BP336
BP340
BP341
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP363
BP365
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP703 BP704 BP705 BP706 BP707  *  BP709 BP710 BP711 BP712 BP713

KEYWORD

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

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP729 Bongard Problem with solution relating to concept: clustering based on feature value vs. Bongard Problem unrelated to this concept.
BP25
BP26
BP27
BP41
BP48
BP49
BP58
BP81
BP89
BP90
BP141
BP142
BP143
BP144
BP145
BP147
BP149
BP156
BP166
BP167
BP169
BP189
BP205
BP220
BP255
BP261
BP307
BP308
BP349
BP356
BP364
BP372
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP724 BP725 BP726 BP727 BP728  *  BP730 BP731 BP732 BP733 BP734

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP731 Bongard Problem with solution relating to concept: clustering by shape vs. Bongard Problem unrelated to this concept.
BP29
BP42
BP49
BP61
BP66
BP128
BP143
BP144
BP190
BP310
BP347
BP349
BP356
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP726 BP727 BP728 BP729 BP730  *  BP732 BP733 BP734 BP735 BP736

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP733 Bongard Problem with solution relating to concept: clustering vs. Bongard Problem unrelated to this concept.
BP25
BP26
BP27
BP28
BP29
BP41
BP42
BP48
BP49
BP58
BP61
BP65
BP66
BP81
BP83
BP84
BP89
BP90
BP99
BP128
BP141
BP142
BP143
BP144
BP145
BP147
BP149
BP156
BP166
BP167
BP169
BP186
BP187
BP189
BP190

. . .

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

Adjacent-numbered pages:
BP728 BP729 BP730 BP731 BP732  *  BP734 BP735 BP736 BP737 BP738

KEYWORD

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

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP789 Bongard Problems in which all examples have the same format, a specific multi-part structure vs. other Bongard Problems.
BP200
BP324
BP325
BP339
BP346
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP361
BP362
BP372
BP548
BP790
BP791
BP793
BP795
BP796
BP802
BP803
BP805
BP827
BP828
BP829
BP831
BP832
BP833
BP834
BP835
BP836
BP843

. . .

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

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


Examples of "structures": Bongard Problem, Bongard's Dozen, 4-panel analogy board, sequence of objects with a constant quantity changing from object to object that together represent the quality that is changing, sequence of objects paired with clump of n dots together representing the nth object that should come in the sequence.


If the solver hasn't become familiar with the featured structure, the Bongard Problem's solution may seem convoluted or inelegant. (See keyword assumesfamiliarity.) Once the solver gets used to seeing a particular structure it becomes easier to read that structure and solve Bongard Problems featuring it.


One can non-verbally teach someone how a particular structure works via a Bongard Problem, showing valid examples of that structure versus non-examples. E.g., BP968 for the structure of Bongard Problems and BP981 for the structure of analogy grids. (See the keyword teach.)

CROSSREFS

Adjacent-numbered pages:
BP784 BP785 BP786 BP787 BP788  *  BP790 BP791 BP792 BP793 BP794

KEYWORD

meta (see left/right), links, keyword

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP866 Bongard Problems that admit examples fitting the solution in various creative ways vs. not so.
BP200
BP335
BP344
BP346
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP361
BP362
BP372
BP373
BP380
BP548
BP792
BP793
BP796
BP802
BP803
BP805
BP827
BP828
BP829
BP831
BP833
BP834
BP835
BP836
BP843
BP845
BP846

. . .

BP1
BP4
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Be encouraged to contribute new interesting examples to Bongard Problems with this keyword.


There is much overlap with the keyword hardsort.



This is what it usually means to say examples fit on (e.g.) the left of a Bongard Problem in various creative ways: there is no (obvious) general method to determine a left-fitting example fits left.


There is a related idea in computability theory: a "non recursively enumerable" property is one that cannot in general be checked by a computer algorithm.

But keep in mind the tag "creativeexamples" is supposed to mean something less formal. For example, it requires no ingenuity for a human being to check when a simple shape is convex or concave (so BP4 is not labelled "creativeexamples"). However, it is not as if we use an algorithm to do this, like a computer. (It is not even clear what an "algorithm" would mean in this context, since it is ambiguous both what class of shapes the Bongard Problem sorts and how that would be encoded into a computer program's input. There are usually many options and ambiguities like this whenever one tries to formalize the content of a Bongard Problem.)

CROSSREFS

Adjacent-numbered pages:
BP861 BP862 BP863 BP864 BP865  *  BP867 BP868 BP869 BP870 BP871

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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