The On-Line Encyclopedia of Bongard Problems

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Solution involves discrete quantity vs. solution involves continuous quantity.

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	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`

Solution is a quantity comparison vs. solution does not involve quantity.

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	CROSSREFS	`See BP873 for comparisons based on discrete quantities vs. comparisons based on continuous quantities. All examples in that Bongard Problem fit left here.` `Similar to BP200 with sides flipped. (However, "Bongard Problem based on quantity" is a more general criterion than "Bongard Problem based on discrete counting.")` `See BP507 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP869 BP870 BP871 BP872 BP873 * BP875 BP876 BP877 BP878 BP879`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left (bpimage_shapes_quantity_soln)`
	AUTHOR	`Aaron David Fairbanks`

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`

"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`

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