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Displaying 1-8 of 8 results found.     page 1
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BP501 Easy Bongard Problems vs. hard Bongard Problems.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP23
BP31
BP97
BP98
BP100
BP194
BP196
BP211
BP363
BP374
BP812
BP839
BP882
BP911
BP956
BP1002
BP1015
BP1017
BP1022
BP1087
BP1095
BP1104
BP1105
BP112
BP162
BP344
BP383
BP394
BP559
BP564
BP793
BP795
BP796
BP801
BP825
BP831
BP842
BP849
BP860
BP871
BP872
BP875
BP876
BP877
BP878
BP898
BP899
BP927
BP934
BP944
BP954
BP965
BP998
BP1011
BP1038
BP1040
BP1055
BP1123

. . .

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

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

Right-sorted Bongard Problems have the keyword "hard" on the OEBP.


"Easy" means easy for human beings to solve, not computers.

CROSSREFS

Adjacent-numbered pages:
BP496 BP497 BP498 BP499 BP500  *  BP502 BP503 BP504 BP505 BP506

KEYWORD

spectrum, subjective, meta (see left/right), links, keyword, 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
(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

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

BP826 Hard Bongard Problems a person has been seen to solve without cheating vs. hard Bongard Problems no one is known to have solved yet without cheating.
BP394
BP564
BP793
BP813
BP825
BP849
BP904
BP927
BP934
BP955
BP957
BP1129
BP1130
BP559
BP796
BP801
BP860
BP871
BP872
BP875
BP876
BP877
BP878
BP944
BP954
BP998
BP1011
BP1038
BP1040
BP1120
BP1200
BP1245
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


CROSSREFS

Adjacent-numbered pages:
BP821 BP822 BP823 BP824 BP825  *  BP827 BP828 BP829 BP830 BP831

KEYWORD

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

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

BP895 Meta Bongard Problems that sort Bongard Problems based on other information than just their solutions (e.g. what format the Bongard Problem is, or what specific examples are shown in it) vs. Meta Bongard Problems that sort Bongard Problems purely based on solution.
BP504
BP793
BP795
BP802
BP803
BP827
BP831
BP834
BP871
BP872
BP894
BP1150
BP200
BP796
BP829
BP830
BP832
BP833
BP835
BP836
BP868
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP895
BP927
BP944
BP948
BP952
BP954
BP987
BP1024
BP1025
BP1026
BP1027
BP1028
BP1029
BP1030
BP1031
BP1032
BP1033

. . .

?
BP828
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "presentationinvariant" on the OEBP.


Meta Bongard problems that sort Bongard Problems purely based on their solutions usually have two versions in the database: one that sorts images of Bongard Problems and one that sorts links to pages on the OEBP. If both versions exist, users should make them cross-reference one another. (Meta Bongard Problems that sort images of Bongard Problems have the keyword miniproblems, whereas meta Bongard Problems that sort links to OEBP pages have the keyword links.)


For meta-pages on the OEBP that sort other pages on the OEBP (keyword links), "presentationmatters" means factoring in content like the BP number, the currently uploaded examples, the wording of the title, the description, and so on, rather than just the solution (that is, how the page would sort all potential examples). This is unusual.


"One solution vs. multiple solutions" (BP828) seems like a border-case. It is about solutions, but it only makes sense for images of Bongard Problems with particular examples. - Aaron David Fairbanks, Aug 01 2020

CROSSREFS

See BP1010 (projectionmatters versus 3d) for a similar idea: there 2D representations are to 3D objects as here Bongard Problems are to Bongard Problem solutions.

Adjacent-numbered pages:
BP890 BP891 BP892 BP893 BP894  *  BP896 BP897 BP898 BP899 BP900

KEYWORD

fuzzy, meta (see left/right), links, keyword, right-self, sideless, metameta, right-it, dependence, presentationinvariant

WORLD

metabp [smaller | same | bigger]

AUTHOR

Jago Collins

BP1111 Bongard Problem requires solver to already be interpreting all examples in a specific way for the answer to seem simple vs. not so.
BP200
BP361
BP362
BP793
BP795
BP796
BP802
BP803
BP827
BP828
BP829
BP831
BP832
BP833
BP834
BP835
BP836
BP852
BP871
BP872
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP894
BP955
BP957
BP968
BP987
BP1024

. . .

BP1
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COMMENTS

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


Sometimes all the examples in a Bongard Problem need to be interpreted a certain way for the Bongard Problem to make sense. Only once the representation is understood, the idea seems simple.


For example, all meta Bongard Problems (Bongard Problems sorting other Bongard Problems) assume the solver interprets the examples as Bongard Problems.


TO DO: Maybe it is best to stop putting the label "assumesfamiliarity" on all meta-Bongard Problems. There are so many of them. It may be better to only use the "assumesfamiliarity" keyword on meta-BPs for a further assumption than just that all examples are interpreted as Bongard Problems. - Aaron David Fairbanks, Feb 11 2021

CROSSREFS

Many Bongard Problems in which all examples take the same format (keyword structure) assume the solver already knows how to read that format.

Some Bongard Problems assume the solver will be able to understand symbolism that is consistent between examples (keyword consistentsymbols).

Bongard Problems tagged math often assume the solver is familiar with a certain representation of a math idea.

Adjacent-numbered pages:
BP1106 BP1107 BP1108 BP1109 BP1110  *  BP1112 BP1113 BP1114 BP1115 BP1116

EXAMPLE

BP1032: The solution should really read "Assuming all images are Bongard Problems sorting each natural number left or right ..." This Bongard Problem makes sense to someone who has been solving a series of similar BPs, but otherwise there is no reason to automatically read a collection of numbers as standing for a larger collection of numbers.

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1126 Meta Bongard Problems in which examples are pages on the OEBP vs. meta Bongard Problems in which examples are pictures of Bongard Problems.
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
BP554

. . .

BP200
BP793
BP795
BP796
BP802
BP803
BP827
BP828
BP829
BP830
BP831
BP832
BP833
BP834
BP835
BP836
BP868
BP871
BP872
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP894
BP948
BP952
BP953
BP954
BP955
BP957

. . .

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

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

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


The keyword "links" is automatically added to a Bongard Problem on the OEBP if a BP number is added as an example.


Meta Bongard problems that sort Bongard Problems purely based on their solutions (keyword presentationmatters) usually have two versions in the database: one that sorts images of Bongard Problems and one that sorts links to pages on the OEBP. If both versions exist, users should make them cross-reference one another.

CROSSREFS

All the examples of miniature Bongard Problems within any meta Bongard Problem tagged "miniproblems" would fit left on BP1080 (which is a showcase of the various formats for images of Bongard Problems).

Adjacent-numbered pages:
BP1121 BP1122 BP1123 BP1124 BP1125  *  BP1127 BP1128 BP1129 BP1130 BP1131

KEYWORD

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

WORLD

metabp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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