Adjacent-numbered pages:
BP1230 BP1231 BP1232 BP1233 BP1234  *  BP1236 BP1237 BP1238 BP1239 BP1240

meta (see left/right), metaconcept

bp [smaller | same | bigger]

Aaron David Fairbanks

Adjacent-numbered pages:
BP1229 BP1230 BP1231 BP1232 BP1233  *  BP1235 BP1236 BP1237 BP1238 BP1239

meta (see left/right), metaconcept

bp [smaller | same | bigger]

Aaron David Fairbanks

Bongard Problems sorted left have the keyword "seemslike" on the OEBP.

In a "seemslike" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "seemslike" BPs sound like "Seems like a ___ based on the information available vs. seems like a ___ based on the information available". The two sides are typically negations of one another (keyword notso).

Since there is information missing, examples can only be sorted assuming they appear in a way that hints psychologically at what they actually are (see help).

Although the rule sorting the underlying objects may be precise, the rule sorting the projections of the objects with lost information is fuzzy and subjective.

See also left-couldbe (and right-couldbe), concerning situations in which the information given may be enough to determine when examples fail to satisfy a rule but is never enough to determine when they do satisfy the rule ("could be ___ vs. clearly is not"). In contrast to "seemslike" Bongard Problems, left-couldbe Bongard Problems can be precise; both evidence of fitting right and absence of evidence of fitting right is clear-cut, so no psychologically helpful hints (help) are needed.

Adjacent-numbered pages:
BP1226 BP1227 BP1228 BP1229 BP1230  *  BP1232 BP1233 BP1234 BP1235 BP1236

meta (see left/right), links, keyword

Aaron David Fairbanks

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

"Dependence" Bongard Problems could be considered invariance Bongard Problems, where the relevant kind of transformation is swapping the example out for any other example that shares the relevant property.

Adjacent-numbered pages:
BP1220 BP1221 BP1222 BP1223 BP1224  *  BP1226 BP1227 BP1228 BP1229 BP1230

meta (see left/right), links, keyword

Aaron David Fairbanks

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

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

For the purposes of this Bongard Problem, a "slight deformation" is a way of dragging the details of an image around which is relatively uniform in any local area and moves each point at most an arbitrarily small distance. More precise definitions could be made using mathematics.

In a "deformstable" Bongard Problem, no slight deformation should outright flip an example's sorting. It is allowed for a slight deformation to make an example sorted slightly more ambiguously.

See unstable vs. stable for changing content within a small area.

Adjacent-numbered pages:
BP1200 BP1201 BP1202 BP1203 BP1204  *  BP1206 BP1207 BP1208 BP1209 BP1210

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

Aaron David Fairbanks

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

For any "stability" Bongard Problem there could usually be made a corresponding invariance Bongard Problem ("[transformation] applied to some examples switch their sorting vs. sorting is invariant under [transformation]").

Potentially, "stability" Bongard Problems could be considered invariance Bongard Problems. On one hand, they are different, since checking whether arbitrarily small transformations switch an example's sorting is different from checking whether a particular transformation switches an example's sorting; the former is infinitely many conditions. On the other hand, there is actually only finitely much detail in any of the examples, and in practice a "stability" Bongard Problem generally just amounts to "a small application of [transformation] switches an example's sorting vs. not".

Adjacent-numbered pages:
BP1199 BP1200 BP1201 BP1202 BP1203  *  BP1205 BP1206 BP1207 BP1208 BP1209

meta (see left/right), links, keyword

Aaron David Fairbanks

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

Right-sorted Bongard Problems have the keyword "stableworld" on the OEBP.

In a "stableworld" Bongard Problem, no small change should outright make an example outright no longer fit in with the others in the Bongard Problem. It is allowed for a small change to make an example slightly less like all the others.

The meaning of "stableworld" is close to "examples have no particular format at all", but not quite the same.

See unstable vs. stable, which is about examples switching sides upon small changes instead of being rendered unsortable.

See BP1144, which is about ALL small changes to ALL examples making them unsortable.

Adjacent-numbered pages:
BP1198 BP1199 BP1200 BP1201 BP1202  *  BP1204 BP1205 BP1206 BP1207 BP1208

meta (see left/right), links, keyword

Aaron David Fairbanks

Bongard Problems sorted left have the keyword "dithering" on the OEBP.

Bongard's original Problems never involved shades of gray. They were just black and white drawings.

Adjacent-numbered pages:
BP1193 BP1194 BP1195 BP1196 BP1197  *  BP1199 BP1200 BP1201 BP1202 BP1203

meta (see left/right), links, keyword

Aaron David Fairbanks

Bongard Problems sorted left have the keyword "bordercontent" on the OEBP.

All of Bongard's original Problems have whitespace around the border of all examples.

Adjacent-numbered pages:
BP1191 BP1192 BP1193 BP1194 BP1195  *  BP1197 BP1198 BP1199 BP1200 BP1201

meta (see left/right), links, keyword

Aaron David Fairbanks

Bongard Problems sorted left have the keyword "absoluteposition" on the OEBP.

The repositioned content has to stay within the box. If an example in a Bongard Problem features content touching a border (keyword bordercontent), then that prevents the contents from being shifted in that direction.

If a Bongard Problem has the keyword "absoluteposition", then it likely has the keyword boundingbox.

If a Bongard Problem has the keyword boundingbox and does not have the keyword bordercontent, then it likely has the keyword "absoluteposition".

Adjacent-numbered pages:
BP1190 BP1191 BP1192 BP1193 BP1194  *  BP1196 BP1197 BP1198 BP1199 BP1200

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

Aaron David Fairbanks