The On-Line Encyclopedia of Bongard Problems

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Bongard Problems relating to concept: three vs. other Bongard Problems.

BP6	BP10	BP39	BP40	BP85	BP86
BP88	BP89	BP90	BP91	BP141	BP142
BP144	BP147	BP156	BP166	BP167	BP255
BP302	BP308	BP531	BP806	BP925	BP949
BP1019	BP1047	BP1049	BP1053	BP1063	BP1138
BP1226

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	CROSSREFS	`Adjacent-numbered pages: BP881 BP882 BP883 BP884 BP885 * BP887 BP888 BP889 BP890 BP891`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "three"` `Searchable synonyms: "3".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP885

Bongard Problems relating to concept: two vs. other Bongard Problems.

BP23	BP31	BP70	BP71	BP141	BP142
BP144	BP147	BP156	BP166	BP167	BP169
BP181	BP205	BP220	BP302	BP343	BP828
BP949	BP1019	BP1047	BP1053	BP1054	BP1058
BP1063	BP1068	BP1138	BP1197

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	CROSSREFS	`Adjacent-numbered pages: BP880 BP881 BP882 BP883 BP884 * BP886 BP887 BP888 BP889 BP890`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "two"` `Searchable synonyms: "2".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP884

Bongard Problems relating to concept: one vs. other Bongard Problems.

BP23	BP31	BP141	BP145	BP149	BP181
BP220	BP322	BP349	BP833	BP1053	BP1062
BP1063	BP1066

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	CROSSREFS	`Adjacent-numbered pages: BP879 BP880 BP881 BP882 BP883 * BP885 BP886 BP887 BP888 BP889`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "one"` `Searchable synonyms: "1".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP883

Bongard Problems relating to concept: zero vs. other Bongard Problems.

BP1

BP829

BP1056

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	CROSSREFS	`Adjacent-numbered pages: BP878 BP879 BP880 BP881 BP882 * BP884 BP885 BP886 BP887 BP888`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "zero"` `Searchable synonyms: "0".`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP881

Right pattern is proper subset of left pattern vs. right pattern is not subset of left pattern.

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	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`

BP880

Non-overlapping sides (patterns are disjoint) vs. possible object(s) could fit in overlap of sides (patterns intersect).

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	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) 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`

BP879

Solution involves one absolute quantity vs. solution involves relative quantity (comparing two quantities).

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	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`

BP878

Some object(s) fit precisely between the sides vs. there is no object fitting between the sides.

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	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) 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`

BP877

"Less than vs. greater than" (or vice versa) vs. "equal to vs. greater than" (or less than).

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	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 (BP876^right) 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`

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`

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