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BP1188 Bongard Problems where there exists an overlap between the collections shown left and right vs. other Bongard Problems.
BP328
BP339
BP345
BP932
BP961
BP1108
BP1242
BP1
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COMMENTS

Left-sorted Bongard Problems have the keyword "both" on the OEBP.


The archetypal example is "rhombuses vs. rectangles".


Notice "rhombuses vs. rectangles" could alternatively be interpreted as "not rectangles vs. not rhombuses"; by this less natural interpretation, a square would fit on neither side (keyword neither) rather than both.


In fact, for any Bongard Problem solution "A vs. B", there are three alternative solution descriptions: "A vs. not A", "not B vs. B", and "not B vs. not A". These are not necessarily just different wordings of the same answer. For example, "rhombuses vs. not rhombuses" and "not rectangles vs. rectangles" differ on where they would sort a square. (This discrepancy between "A vs. not A" and "B vs. not B" occurs whenever "A vs. B" does not sort all relevant cases. See the keyword allsorted.)


"Is a rhombus" and "is a rectangle" are what are on the OEBP called "narrow" patterns, while "is not a rectangle" and "is not a rhombus" are not. (See keywords left-narrow and right-narrow for more explanation.)

CROSSREFS

The keywords both and allsorted are mutually exclusive.

Adjacent-numbered pages:
BP1183 BP1184 BP1185 BP1186 BP1187  *  BP1189 BP1190 BP1191 BP1192 BP1193

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

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