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BP876 Precise sorting of potential examples vs. not so.
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COMMENTS

Left Bongard Problems do not have to sort all relevant examples; if they would leave some border cases unsorted, it just has to be clear precisely which examples those would be.


Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.

CROSSREFS

See BP508 for the version with links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP871 BP872 BP873 BP874 BP875  *  BP877 BP878 BP879 BP880 BP881

KEYWORD

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

WORLD

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

AUTHOR

Aaron David Fairbanks

BP877 "Less than vs. greater than" (or vice versa) vs. "equal to vs. greater than" (or less than).
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are quantity-comparison Problems in which the dividing point on the spectrum separating the sides lands between them. Right examples are quantity-comparison Problems in which the dividing point is the entirety of one of the sides (always the left side, for clarity).

Only less-than vs. greater-than Problems may have imprecise (BP876right) dividing point between sides.

CROSSREFS

Adjacent-numbered pages:
BP872 BP873 BP874 BP875 BP876  *  BP878 BP879 BP880 BP881 BP882

KEYWORD

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

WORLD

bpimage_shapes_quantity_soln [smaller | same | bigger]

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

BP879 Solution involves one absolute quantity vs. solution involves relative quantity (comparing two quantities).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP874 BP875 BP876 BP877 BP878  *  BP880 BP881 BP882 BP883 BP884

KEYWORD

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

WORLD

bpimage_shapes_quantity_soln [smaller | same | bigger]

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

BP881 Right pattern is proper subset of left pattern vs. right pattern is not subset of left pattern.
(edit; present; nest [left/right]; search; history)
COMMENTS

You can try to interpret these images as Bongard Problems. This works just when the left side includes no objects that would fit in with the right side (as in EX7357 but not EX7361), the solution is "not [right pattern] vs. [right pattern]"; otherwise there is no apparent solution.


The solvable Bongard Problems sorted left here are right-narrow and not left-narrow, with the left side the negation of the right side (see notso).

CROSSREFS

Adjacent-numbered pages:
BP876 BP877 BP878 BP879 BP880  *  BP882 BP883 BP884 BP885 BP886

KEYWORD

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

WORLD

bpimage_shapes_nosoln_allowed [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP894 Examples fit solution (once it is known) relatively obviously vs. examples fit solution in subtle or complex, harder-to-see ways.
(edit; present; nest [left/right]; search; history)
COMMENTS

One left and one right example with each solution are shown for help.


This BP is fuzzy for multiple reasons. How obvious it is that an example fits a rule is subjective. Also, somebody could read the simplicity of all included examples as part of a Bongard Problem's solution. For example, the more obvious version of "square number of dots vs. non-square number of dots" could be interpreted as "square small number of dots arranged in easy-to-read way vs. non-square small number of dots arranged in easy-to-read way."


Whether this Bongard Problem solution would categorize an image of itself left or right depends on the difficulty of the solutions of the mini-Problems.

CROSSREFS

See keyword help.

See keyword hardsort.

Adjacent-numbered pages:
BP889 BP890 BP891 BP892 BP893  *  BP895 BP896 BP897 BP898 BP899

KEYWORD

fuzzy, abstract, notso, subjective, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs

WORLD

boxes_bpimage_three_per_side [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP955 Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their left vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their right.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See also BP957 for the other two evident possibilities.

Adjacent-numbered pages:
BP950 BP951 BP952 BP953 BP954  *  BP956 BP957 BP958 BP959 BP960

KEYWORD

abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental

CONCEPT self-reference (info | search)

WORLD

oblong_boxes_bpimage_sorts_both_sides_skewed [smaller | same | bigger]
zoom in left (oblong_boxes_bpimage_sorts_both_sides_left) | zoom in right (oblong_boxes_bpimage_sorts_both_sides_right)

AUTHOR

Leo Crabbe

BP957 Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their right vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their left.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See also BP955 for the other two evident possibilities.

Adjacent-numbered pages:
BP952 BP953 BP954 BP955 BP956  *  BP958 BP959 BP960 BP961 BP962

KEYWORD

nice, abstract, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental

CONCEPT self-reference (info | search)

WORLD

oblong_panels_bpimage_sorts_both_sides_balanced [smaller | same | bigger]
zoom in left (oblong_panels_bpimage_sorts_both_sides_stay) | zoom in right (oblong_panels_bpimage_sorts_both_sides_swap)

AUTHOR

Leo Crabbe

BP968 Valid Bongard Problem vs. invalid Bongard Problem.
(edit; present; nest [left/right]; search; history)
COMMENTS

"Invalid Bongard Problems" are images that look sort of like Bongard Problems but aren't actually Bongard Problems.


With many examples included, this Problem might be placed somewhere to nonverbally show someone the subtler rules about what is allowed and what isn't allowed in Bongard Problems.


See BP829 for the Bongard Problem about Bongard Problems with no clear solution.

CROSSREFS

See BP522 (flipped) for a version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).


See BP829 (flipped) for a near exact copy of this Bongard Problem idea but that does not include images with two of the same boxes on either side.

Also see BP1080, which includes various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.

Adjacent-numbered pages:
BP963 BP964 BP965 BP966 BP967  *  BP969 BP970 BP971 BP972 BP973

KEYWORD

teach, meta (see left/right), miniproblems, assumesfamiliarity, structure

AUTHOR

Jago Collins

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