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BP1254 Bongard Problems with solutions of the form "[X] vs. [representation of X]" vs. vice versa.
BP1126
BP1219
BP1253
BP1056
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1249 BP1250 BP1251 BP1252 BP1253  * 

KEYWORD

meta (see left/right), links, viceversa

AUTHOR

Leo Crabbe

BP1251 BPs whose right-sorted examples exhibit the following property: if a square region of any right-sorted example is replaced with any other right-sorted example, the resultant image is also sorted right vs. BPs whose right-sorted examples do not exhibit this property.
BP1
BP969
BP1224
BP211
BP971
BP1249
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1246 BP1247 BP1248 BP1249 BP1250  *  BP1252 BP1253 BP1254

KEYWORD

unwordable, meta (see left/right), links

AUTHOR

Leo Crabbe

BP1250 BPs whose left-sorted examples exhibit the following property: if a square region of any left-sorted example is replaced with any other left-sorted example, the resultant image is also sorted left vs. BPs whose left-sorted examples do not exhibit this property.
BP1
BP969
BP977
BP1022
BP1151
BP1249
BP211
BP359
BP971
BP1089
BP1224
BP1252
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1245 BP1246 BP1247 BP1248 BP1249  *  BP1251 BP1252 BP1253 BP1254

KEYWORD

unwordable, meta (see left/right), links

AUTHOR

Leo Crabbe

BP1243 Bongard Problems on the OEBP with certain examples that have not yet been proved to fit where they are currently sorted vs. Bongard Problems in which all included examples have been proved to fit where they are.
BP1242
BP1244
(edit; present; nest [left/right]; search; history)
COMMENTS

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


This is an administrative keyword to help us keep track of what Bongard Problems we still need to check for correctness.


The description should indicate which examples are still in need of checking. Once proofs are found, the keyword "missingproofs" can be removed.


The keyword noproofs is similar. The difference is whether we want/expect to find proofs.

CROSSREFS

Bongard Problems tagged "missingproofs" should necessarily be hardsort.

Adjacent-numbered pages:
BP1238 BP1239 BP1240 BP1241 BP1242  *  BP1244 BP1245 BP1246 BP1247 BP1248

KEYWORD

meta (see left/right), links, keyword, instruction, time

AUTHOR

Aaron David Fairbanks

BP1236 Bongard Problem with solution relating to concept: connected component vs. Bongard Problem unrelated to this concept.
BP1100
BP1237
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1231 BP1232 BP1233 BP1234 BP1235  *  BP1237 BP1238 BP1239 BP1240 BP1241

KEYWORD

meta (see left/right), metaconcept

CONCEPT This MBP is about BPs that feature concept: "connected_component"

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1235 Bongard Problem with solution relating to concept: distingushing between distinct curves that cross vs. Bongard Problem unrelated to this concept.
BP31
BP190
BP391
BP560
BP562
BP576
BP788
BP932
BP1099
BP1100
BP1101
BP1102
BP1109
BP1233
(edit; present; nest [left/right]; search; history)
CROSSREFS

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

KEYWORD

meta (see left/right), metaconcept

CONCEPT This MBP is about BPs that feature concept: "distinguishing_crossing_curves"

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1234 Bongard Problem with solution relating to concept: diagonal vs. Bongard Problem unrelated to this concept.
BP1213
BP1215
BP1216
BP1218
(edit; present; nest [left/right]; search; history)
CROSSREFS

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

KEYWORD

meta (see left/right), metaconcept

CONCEPT This MBP is about BPs that feature concept: "diagonal"

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1231 Bongard Problems where some information is left out from examples and they are only sorted on the side they seem to fit vs. other Bongard Problems.
BP1228
BP1229
(edit; present; nest [left/right]; search; history)
COMMENTS

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 by trusting they appear in a way that hints psychologically at what they actually are (see help).

CROSSREFS

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 is enough to determine when some examples fail to satisfy a rule but not enough to determine when they do satisfy the rule, the Bongard Problem's solution being "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

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

BP1225 Meta Bongard Problems of the form "solution depends on other information than [property] vs. solution only depends on [property]" vs. other meta Bongard Problems.
BP575
BP895
BP1010
(edit; present; nest [left/right]; search; history)
COMMENTS

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.

CROSSREFS

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

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

BP1205 Bongard Problems in which slight deformations (but perhaps across a large area) of examples can switch their sorting vs. Bongard Problems in which examples deformed slightly enough remain sorted the same way.
BP1
(edit; present; nest [left/right]; search; history)
COMMENTS

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.

CROSSREFS

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

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

KEYWORD

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

AUTHOR

Aaron David Fairbanks

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