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BP871 A reflection can switch an object's sorting vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

In particular, horizontal reflections work in all left examples.

An image of this Bongard Problem would fit on the left.

CROSSREFS

See BP552 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP866 BP867 BP868 BP869 BP870  *  BP872 BP873 BP874 BP875 BP876

KEYWORD

hard, abstract, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, infodense, assumesfamiliarity, structure

WORLD

bpimage_shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP873 Solution involves discrete quantity vs. solution involves continuous quantity.
(edit; present; nest [left/right]; search; history)
CROSSREFS

All examples in this Bongard Problem fit left in BP874.


See BP351 for the version with sequences of constant change instead of Bongard Problems.


See BP1152 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP868 BP869 BP870 BP871 BP872  *  BP874 BP875 BP876 BP877 BP878

KEYWORD

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

CONCEPT discrete_continuous (info | search)

WORLD

bpimage_shapes_quantity_soln [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP875 Bongard 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

BP876 Precise sorting of potential examples vs. not so.
(edit; present; nest [left/right]; search; history)
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

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