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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

. . .

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COMMENTS

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


Examples of "structures": Bongard Problem, Bongard Problem with extra unsorted panel ("Bongard's Dozen"), 4-panel analogy grid, sequence of objects with a quantity changing by a constant amount.


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.


A Bongard Problem can non-verbally teach someone how a particular structure works, 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.

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
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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

BP1158 Bongard Problems in which each example communicates a rule vs. other Bongard Problems.
BP346
BP349
BP350
BP351
BP352
BP353
BP354
BP355
BP356
BP357
BP361
BP362
BP365
BP372
BP379
BP380
BP393
BP792
BP805
BP839
BP841
BP843
BP845
BP846
BP848
BP849
BP852
BP855
BP870
BP893
BP917
BP951
BP973
BP975
BP979

. . .

?
BP347
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COMMENTS

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


In the typical "rules" Bongard Problem, it is possible to come up with many convoluted rules that fit each example, but the intended interpretation is the only simple and obvious one.


Since it is difficult to communicate a rule with little detail, "rules" Bongard Problems are usually infodense.

Typically, each example is itself a bunch of smaller examples that all obey the rule. It is the same as how a Bongard Problems relies on many examples to communicate rules; likely just one example wouldn't get the answer across.

On the other hand, in BP1157 for example, each intended rule is communicated by just one example; these rules have to be particularly simple and intuitive, and the individual examples have to be complicated enough to communicate them.

Often, each rule is communicated by showing several examples of things satisfying it. (See keywords left-narrow and right-narrow.) Contrast Bongard Problems, which are more communicative, by showing some examples satisfying the rule and some examples NOT satisfying the rule.


A "rules" Bongard Problem is often collective. Some examples may admit multiple equally plausible rules, and the correct interpretation of each example only becomes clear once the solution is known. The group of examples together improve the solver's confidence about having understood each individual one right.

It is common that there will be one or two examples with multiple reasonable interpretations due to oversight of the author.

CROSSREFS

All meta Bongard Problems are "rules" Bongard Problems.

Many other Bongard-Problem-like structures seen on the OEBP are also about recognizing a pattern. (See keyword structure.)


"Rules" Bongard Problems are abstract, although the individual rules in them may not be abstract. "Rules" Bongard Problems also usually have the keyword creativeexamples.

Adjacent-numbered pages:
BP1153 BP1154 BP1155 BP1156 BP1157  *  BP1159 BP1160 BP1161 BP1162 BP1163

KEYWORD

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

AUTHOR

Aaron David Fairbanks

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