The On-Line Encyclopedia of Bongard Problems

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Object at lower-right fits as n-th item in the top row of objects, where n is the number of dots at lower-left vs. not so.

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	COMMENTS	`All examples have a number of dots in the bottom left corner, an object in the bottom right corner, and a sequence of object at the top.`
	CROSSREFS	`Adjacent-numbered pages: BP351 BP352 BP353 BP354 BP355 * BP357 BP358 BP359 BP360 BP361`
	KEYWORD	`nice, creativeexamples, left-narrow, structure, traditional, rules, miniworlds`
	CONCEPT	`fractal (info \| search),` `iteration (info \| search),` `tracing_line_or_curve (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP357

Decelerating change in quantity, left-to-right vs. accelerating change in quantity, left-to-right.

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	CROSSREFS	`Adjacent-numbered pages: BP352 BP353 BP354 BP355 BP356 * BP358 BP359 BP360 BP361 BP362`
	KEYWORD	`dual, leftright, creativeexamples, structure, traditional, rules, miniworlds`
	CONCEPT	`acceleration (info \| search),` `size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`quantity_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP361

Analogy makes sense vs. analogy does not make sense.

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	CROSSREFS	`Adjacent-numbered pages: BP356 BP357 BP358 BP359 BP360 * BP362 BP363 BP364 BP365 BP366`
	KEYWORD	`nice, creativeexamples, assumesfamiliarity, structure, traditional, rules`
	CONCEPT	`analogy (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP362

Choice that solves the analogy exists vs. choice that solves the analogy does not exist.

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	CROSSREFS	`Adjacent-numbered pages: BP357 BP358 BP359 BP360 BP361 * BP363 BP364 BP365 BP366 BP367`
	KEYWORD	`creativeexamples, assumesfamiliarity, structure, rules`
	CONCEPT	`analogy (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP372

Shape below fits on the left vs. shape below fits on the right.

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	COMMENTS	`See BP805 for the version of this with box-based BPs.`
	CROSSREFS	`Adjacent-numbered pages: BP367 BP368 BP369 BP370 BP371 * BP373 BP374 BP375 BP376 BP377`
	KEYWORD	`nice, dual, handed, leftright, creativeexamples, structure, traditional, rules`
	CONCEPT	`bongard_problem (info \| search),` `categorization (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `choice (info \| search)`
	WORLD	`bdimage_shapes_extra_below_clear_sort [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP373

Intersection (logical conjunction) vs. union (logical disjunction).

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	CROSSREFS	`Adjacent-numbered pages: BP368 BP369 BP370 BP371 BP372 * BP374 BP375 BP376 BP377 BP378`
	KEYWORD	`abstract, anticomputer, concept, creativeexamples, left-narrow, right-narrow, contributepairs, traditional, miniworlds, dithering`
	CONCEPT	`set_intersection (info \| search),` `set_union (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP380

The completed version of the collection indicated by the objects is finite vs. the completed version of the collection indicated by the objects is infinite.

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	COMMENTS	`Related to BP870 and BP792.` `An example with clusters of perfect numbers of dots would be sorted ambiguously, for the time being. Unfortunately the 3rd smallest perfect number is 496. - Leo Crabbe, Oct 18 2024`
	CROSSREFS	`Adjacent-numbered pages: BP375 BP376 BP377 BP378 BP379 * BP381 BP382 BP383 BP384 BP385`
	KEYWORD	`math, creativeexamples, traditional, rules, miniworlds, collection`
	CONCEPT	`finite_infinite (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP548

Due to pixelation, it is ambiguous whether the middle small shape is a resized version of the left shape or the right shape vs. there is a clear choice.

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	COMMENTS	`A strange Problem relying on pixelation of digital images.`
	CROSSREFS	`Adjacent-numbered pages: BP543 BP544 BP545 BP546 BP547 * BP549 BP550 BP551 BP552 BP553`
	KEYWORD	`less, creativeexamples, pixelperfect, structure, orderedtriplet, experimental`
	CONCEPT	`imperfection_small (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP792

Complete finite collection versus incomplete infinite collection.

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	COMMENTS	`Related to BP379 and BP380.` `EX10061 can ambiguously be taken to be self-referential as the set of left-hand examples (which would make the right hand solution only "incomplete sets") or the class of finite sets.`
	CROSSREFS	`Adjacent-numbered pages: BP787 BP788 BP789 BP790 BP791 * BP793 BP794 BP795 BP796 BP797`
	KEYWORD	`abstract, creativeexamples, rules, miniworlds, collection`
	CONCEPT	`completeness (info \| search),` `finite_infinite (info \| search)`
	WORLD	`collection_of_objects_same_type [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP793

Image of a Bongard Problem that would sort itself on its own left versus image of a Bongard Problem that would sort itself on its own right.

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	COMMENTS	`Rhetorical question: Where does this Bongard Problem sort an image of itself?` `See BP999 and BP1004 for similar paradoxes.` `Bongard Problems fitting left here evidently come in three categories: 1) would sort all Bongard Problems with the same solution left, 2) would sort all Bongard Problems with the same solution right, or 3) would sort some Bongard Problems with the same solution left and some right. See BP927.`
	CROSSREFS	`See BP517 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP954, which is about Bongard Problems not only sorting themselves, but moreover fractally appearing in themselves as panels.` `Adjacent-numbered pages: BP788 BP789 BP790 BP791 BP792 * BP794 BP795 BP796 BP797 BP798`
	KEYWORD	`hard, nice, abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, experimental`
	WORLD	`boxes_bpimage_sorts_self [smaller \| same \| bigger] zoom in left (boxes_bpimage_sorts_self_left) \| zoom in right (boxes_bpimage_sorts_self_right)`
	AUTHOR	`Aaron David Fairbanks`

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