Left examples have the keyword "math" on the OEBP.

Although everything is arguably related to math, these BP solutions include content that people don't inherently understand without learning at least some mathematics.

Left examples do not technically have "culturally-dependent" content (keyword culture), but knowledge and previous learning plays a role in how easy they are to solve.

Adjacent-numbered pages:
BP566 BP567 BP568 BP569 BP570  *  BP572 BP573 BP574 BP575 BP576

fuzzy, meta (see left/right), links, keyword

bp [smaller | same | bigger]

Aaron David Fairbanks

Adjacent-numbered pages:
BP648 BP649 BP650 BP651 BP652  *  BP654 BP655 BP656 BP657 BP658

meta (see left/right), links, metaconcept, primitive

bp [smaller | same | bigger]

Harry E. Foundalis

Adjacent-numbered pages:
BP652 BP653 BP654 BP655 BP656  *  BP658 BP659 BP660 BP661 BP662

meta (see left/right), links, metaconcept, primitive

bp [smaller | same | bigger]

Harry E. Foundalis

Adjacent-numbered pages:
BP708 BP709 BP710 BP711 BP712  *  BP714 BP715 BP716 BP717 BP718

meta (see left/right), links, metaconcept, primitive

bp [smaller | same | bigger]

Harry E. Foundalis

Left examples have the keyword "structure" on the OEBP.

Examples of "structures": Bongard Problem, Bongard Problem with extra unsorted panel ("Bongard's Dozen"), 4-panel analogy grid, sequence of objects with a quantity changing by a constant amount.

If the solver hasn't become familiar with the featured structure, the Bongard Problem's solution may seem convoluted or inelegant. (See keyword assumesfamiliarity.) Once the solver gets used to seeing a particular structure it becomes easier to read that structure and solve Bongard Problems featuring it.

A Bongard Problem can non-verbally teach someone how a particular structure works, showing valid examples of that structure versus non-examples. E.g., BP968 for the structure of Bongard Problems and BP981 for the structure of analogy grids.

Adjacent-numbered pages:
BP784 BP785 BP786 BP787 BP788  *  BP790 BP791 BP792 BP793 BP794

meta (see left/right), links, keyword

bp [smaller | same | bigger]

Aaron David Fairbanks

Left examples have the keyword "orderedtriplet" on the OEBP.

Right examples have the keyword "unorderedtriplet" on the OEBP.

An ordered triplet can be totally ordered (swapping any 2 objects would change the information being conveyed by the panel) or partially ordered (unordered pair and a 3rd object that relates to the pair).

Adjacent-numbered pages:
BP903 BP904 BP905 BP906 BP907  *  BP909 BP910 BP911 BP912 BP913

meta (see left/right), links, keyword

triplet_comparison_bp [smaller | same | bigger]
zoom in left (ordered_triplet_comparison_bp)

Leo Crabbe

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.)

The keywords both and allsorted are mutually exclusive.

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

meta (see left/right), links, keyword

Aaron David Fairbanks

Left-sorted Bongard Problems have the keyword "neither" on the OEBP.

This keyword is for Bongard Problems for which some obviously relevant case, in the same class as the shown examples, clearly would not fit in with either of the two sides.

An example falling in the threshold between a less-than/greater-than comparison (keyword spectrum) is a special case; it is easy to view such an example as belonging on both sides (keyword both) as well as neither side.

NOTE: It might be nice to have a separate keyword for tracking these special-case spectrum-based ambiguities (because they don't quite suit the keywords "both" or "neither"). - Aaron David Fairbanks, Apr 16 2022

See also both.

The keywords "neither" and allsorted are mutually exclusive.

Usually, Bongard Problems with a case that fits neither side in a clear-cut way are precise.

Adjacent-numbered pages:
BP1184 BP1185 BP1186 BP1187 BP1188  *  BP1190 BP1191 BP1192 BP1193 BP1194

meta (see left/right), links, keyword

Aaron David Fairbanks

Alternatively, BP pages on the OEBP with number less than or equal to 394 vs. other BP pages.

https://www.foundalis.com/res/bps/bpidx.htm

Adjacent-numbered pages:
BP1189 BP1190 BP1191 BP1192 BP1193  *  BP1195 BP1196 BP1197 BP1198 BP1199

Foundalis's collection includes all Bongard Problems by Bongard.

meta (see left/right), links, right-self, time

Aaron David Fairbanks