login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: BP875
Displaying 1-4 of 4 results found.     page 1
     Sort: relevance      Format: long      Filter: (all | no meta | meta)      Mode: (words | no words)
BP875 Problem would sort all relevant examples vs. possible objects similar to those seen on both sides would have no clear sorting.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples partition a pool of objects cleanly into two classes.

CROSSREFS

See BP509 (keyword "allsorted") for the version with links to pages on the OEBP instead of images of Bongard Problems.

The left side implies BP876left.

Adjacent-numbered pages:
BP870 BP871 BP872 BP873 BP874  *  BP876 BP877 BP878 BP879 BP880

KEYWORD

hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP878 Some object(s) fit precisely between the sides vs. there is no object fitting between the sides.
(edit; present; nest [left/right]; search; history)
COMMENTS

"Allsorted" Bongard Problems (BP875left) always fit as right examples.

Left examples are never "allsorted".

CROSSREFS

Adjacent-numbered pages:
BP873 BP874 BP875 BP876 BP877  *  BP879 BP880 BP881 BP882 BP883

KEYWORD

hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes_exact_sort [smaller | same | bigger]
zoom in left | zoom in right (bpimage_shapes_exact_sort_no_midway)

AUTHOR

Aaron David Fairbanks

BP880 Non-overlapping sides (patterns are disjoint) vs. possible object(s) could fit in overlap of sides (patterns intersect).
(edit; present; nest [left/right]; search; history)
COMMENTS

"Allsorted" Bongard Problems (BP875left) always fit on the left.

CROSSREFS

Adjacent-numbered pages:
BP875 BP876 BP877 BP878 BP879  *  BP881 BP882 BP883 BP884 BP885

KEYWORD

abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes [smaller | same | bigger]
zoom in left

AUTHOR

Aaron David Fairbanks

BP509 Bongard Problems that sort all relevant examples vs. Bongard Problems that would leave some unsorted.
BP1
BP3
BP31
BP103
BP312
BP321
BP322
BP329
BP334
BP376
BP384
BP386
BP389
BP390
BP527
BP557
BP559
BP560
BP564
BP569
BP576
BP788
BP820
BP856
BP863
BP891
BP897
BP898
BP905
BP922
BP934
BP935
BP937
BP945
BP949

. . .

BP292
BP508
BP509
BP961
BP1073
BP1208
(edit; present; nest [left/right]; search; history)
COMMENTS

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


A Bongard Problem is labelled "allsorted" when the type of thing it sorts is partitioned unambiguously and without exception into two groups.


Similarly to using the precise and fuzzy keywords, calling a Bongard Problem "allsorted" is a subjective/intuitive judgment. The collection of all relevant potential examples is not clearly delineated anywhere.

(Sometimes it's ambiguous whether to consider certain examples that are ambiguously sorted relevant.)


The solution to an "allsorted" Bongard Problem can usually be re-phrased as "___ vs. not so" (see the keyword notso).

But not every "___ vs. not so" Bongard Problem should be labelled "allsorted"; there could be ambiguous border cases in a "___ vs. not so" Bongard Problem.


Bongard Problems in which the two sides are so different that there is no middle ground between them (keyword gap) are sometimes still labelled "allsorted", since the intuitive pool of all relevant examples just amounts to the two unrelated sides. But some "gap" Bongard Problems are not like that; for example sometimes there are more related classes of examples besides the two shown.


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. A Bongard Problem like this can still be tagged "allsorted".

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



In deciding where to sort an example, we think about it until we come to a conclusion; an example isn't here considered ambiguous just because someone might have a hard time with it (keyword hardsort).

However, sometimes the way a Bongard Problem would sort certain examples is an unsolved problem in mathematics, and it may be unknown whether there is even a solution. Whether or not such a Bongard Problem should be labelled "allsorted" might be debated.

(See the keyword proofsrequired.)

One way to resolve this ambiguity is to redefine "allsorted" as meaning that once people decide where an example belongs, it will be on one of the two sides, and they will all agree about it.



There is a distinction to be made between a non-"allsorted" Bongard Problem that could be made "allsorted" by making (finitely many) more examples sorted (thereby modifying or clarifying the solution of the Bongard Problem) and one such that this is not possible while maintaining a comparably simple solution. The former kind would often be labelled precise, in particular when these border cases have been explicitly forbidden from being sorted in the Bongard Problem's definition.

For instance, discrete Bongard Problems that are not allsorted usually fall into the former category.

CROSSREFS

See BP875 for the version with pictures of Bongard Problems instead of links to pages on the OEBP.

"Allsorted" implies precise.

"Allsorted" and both are mutually exclusive.

"Allsorted" and neither are mutually exclusive.

Adjacent-numbered pages:
BP504 BP505 BP506 BP507 BP508  *  BP510 BP511 BP512 BP513 BP514

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

    page 1

Welcome | Solve | Browse | Lookup | Recent | Links | Register | Contact
Contribute | Keywords | Concepts | Worlds | Ambiguities | Transformations | Invalid Problems | Style Guide | Goals | Glossary