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BP504 BP pages on the OEBP in need of more examples vs. BP pages with a list of examples that should not be altered.
BP860
BP865
BP928
BP969
BP970
BP988
BP989
BP993
BP994
BP1001
BP1082
BP1085
BP1091
BP1098
BP1137
BP1206
BP1207
BP1208
BP1209
BP1210
BP1211
BP1213
BP1214
BP1215
BP1216
BP1217
BP1218
BP1220
BP1221
BP1222
BP1223
BP1224
BP1226
BP1227
BP1228

. . .

BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP32
BP33
BP34
BP35
BP36

. . .

(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


Users are not able to add or remove examples from Problems tagged "finished." (This is unusual; most Bongard Problems on the OEBP can be expanded indefinitely by users.)


A "finished" Bongard Problem will always admit the alternative, convoluted solution "is [left example 1] OR is [left example 2] OR . . . OR is [last left example] vs. is [right example 1] OR is [right example 2] OR . . . OR is [last right example]".

CROSSREFS

Bongard's original Problems are tagged "finished."

Adjacent-numbered pages:
BP499 BP500 BP501 BP502 BP503  *  BP505 BP506 BP507 BP508 BP509

KEYWORD

meta (see left/right), links, keyword, oebp, presentationmatters, left-finite, right-finite, instruction

WORLD

bppage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP919 BP Pages on the OEBP where users are advised to upload left examples and right examples in pairs vs. other BP Pages.
BP197
BP332
BP349
BP360
BP373
BP389
BP392
BP393
BP528
BP532
BP533
BP805
BP827
BP830
BP831
BP842
BP845
BP846
BP848
BP852
BP894
BP903
BP912
BP939
BP941
BP998
BP1049
BP1183
BP919
(edit; present; nest [left/right]; search; history)
COMMENTS

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


When this keyword is added to a Problem, OEBP users are advised to add a corresponding right example for every left example they add and vice versa.


It is common for Bongard Problems to present left examples on the left side and corresponding altered versions of those examples on the right side, tweaked only slightly, to highlight the difference and make the solution easier to see (see keyword help).


This is common in more abstract Bongard Problems that admit a wide range of examples, a variety of different styles or types (e.g. BP360). Showing two versions of the same thing, one on the left and one on the right, helps a person interpret what that thing is meant to be in the context of the Bongard Problem; whatever qualities vary between the two in the pair must be relevant.


If a person cannot sort an example according to the solution property without seeing its corresponding opposite example, the Bongard Problem is invalid (see https://www.oebp.org/invalid.php ). There is no one rule dividing the sides; the solution is not a method to determine whether an arbitrary example fits left or right. See also Bongard Problems with the keyword collective, which are similarly borderline-invalid.


A BP in which each left example corresponds to a right example and vice versa could be remade as a Bongard Problem in which the left examples are the pairs. For example BP360 would turn into "a pair consisting of the ordered version of something and the chaotic version of the same thing vs. a pair of things not satisfying this relationship." This process would turn a Bongard Problem that is invalid in the sense described above into a valid one.

(See keyword orderedpair.)


In some "contributepairs" Bongard Problems there really is a natural choice of left version for every right example and vice versa (see keyword dual); in others the choice is artificially imposed by the Bongard Problem creator.


When "contributepairs" Bongard Problems are laid out in the format with a grid of boxes on either side of a dividing line, the boxes may be arranged so as to highlight the correspondence: either


A B | A B

E F | E F

G H | G H


or


A B | B A

E F | F E

G H | H G.

CROSSREFS

Adjacent-numbered pages:
BP914 BP915 BP916 BP917 BP918  *  BP920 BP921 BP922 BP923 BP924

KEYWORD

meta (see left/right), links, keyword, oebp, right-self, instruction

WORLD

bppage [smaller | same | bigger]
zoom in left (correspondence_bp)

AUTHOR

Aaron David Fairbanks

BP930 BP Pages on the OEBP where users are advised to upload examples that help people (by hinting at the solution) vs. other BP Pages.
BP334
BP349
BP382
BP384
BP569
BP829
BP892
BP945
BP988
BP989
BP1008
BP1016
BP1089
BP1102
BP1161
BP1168
(edit; present; nest [left/right]; search; history)
COMMENTS

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


BPs should be marked "help" when the OEBP wants most examples (at least on one side) to be helpful (not when just one or two uploaded examples are helpful).


Helpfulness can be a spectrum; most Bongard Problems are helpful to some degree just by not using the most convoluted unintelligible examples possible.


Examples that are helpful to people are often not particularly helpful to computers.


Any helpful Bongard Problem has a harder, not helpful version. For example, BP384 (square number of dots versus non-square number of dots) would be much harder if all examples had hundreds of dots that weren't arranged recognizably. Instead, the dots in the examples are always arranged in shapes that make the square-ness or non-square-ness of the numbers easy to check without brute counting.


When all examples in a Bongard Problem are helpful, it may become unclear whether the helpfulness is part of the Bongard Problem's solution.

E.g.: Is the left-hand side of BP384 "square number of dots", or is it "square number of dots that are arranged in a helpful way so as to communicate the square-ness"?


See seemslike, where examples being helpful is an irremovable aspect of the Bongard Problem's solution.

CROSSREFS

Adjacent-numbered pages:
BP925 BP926 BP927 BP928 BP929  *  BP931 BP932 BP933 BP934 BP935

KEYWORD

anticomputer, meta (see left/right), links, keyword, oebp, instruction

WORLD

bppage [smaller | same | bigger]
zoom in left (help_bp)

AUTHOR

Aaron David Fairbanks

BP947 BPs where users are advised to only upload images in which the pixelation is not misleading vs. other "perfect" Bongard Problems that use pixelated images to closely approximate the actual intended shapes.
BP1
BP31
BP210
BP211
BP217
BP279
BP321
BP324
BP325
BP335
BP341
BP367
BP386
BP523
BP548
BP859
BP860
BP861
BP892
BP920
BP934
BP935
BP966
BP1008
BP1088
BP1089
BP1090
BP1093
BP1104
BP1131
BP1156
BP1161
BP1168
BP1183
BP344
BP559
BP564
BP912
BP937
BP949
BP965
(edit; present; nest [left/right]; search; history)
COMMENTS

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


All examples here are perfect Bongard Problems. That is, subtle imperfections in images are meant to be considered.


When a Problem is tagged with "pixelperfect", users are reminded to make sure they do not upload images such that taking the pixelation into account would affect the sorting of that example. That is, the zoomed-in jagged blocky version of the picture should still fit the solution.


For example, in the examples of BP335, which is about tessellation, the pixels interlock properly.

CROSSREFS

Stable Bongard Problems are generally pixelperfect.

Adjacent-numbered pages:
BP942 BP943 BP944 BP945 BP946  *  BP948 BP949 BP950 BP951 BP952

KEYWORD

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

WORLD

perfect_bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1125 BP pages on the OEBP (with a criterion for sorting examples that in some cases may be very difficult to work out) where users should be certain (i.e. know a proof) about how examples are sorted vs. users can include examples on a side as long as nobody has seen a reason it does not fit there.
BP335
BP344
BP532
BP850
BP1119
BP1137
BP1200
BP1245
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


For every "noproofs" Bongard Problem there could be made a stricter "proofsrequired" version. This stricter version will be hardsort.


Deciding to make a Bongard Problem noproofs adds subjectivity to the sorting of examples (keyword subjective).



One interpretation of topology (a subject of mathematics -- see https://en.wikipedia.org/wiki/Topology ) is that a topology describes the observability of various properties. (The topological "neighborhoods" of a point are the subsets one could determine the point to be within using a finite number of measurements.) The analogue of restricting to just the cases where a property is observably true (i.e. "proofsrequired") corresponds to taking the topological "interior" of that property.



TO DO: It may be better to split each of these keywords up into two: "left-proofsrequired", "right-proofsrequired", "left-noproofs", "right noproofs".


CROSSREFS

See keyword hardsort.


Bongard Problems that are left-unknowable or right-unknowable will have to be "noproofs".

Adjacent-numbered pages:
BP1120 BP1121 BP1122 BP1123 BP1124  *  BP1126 BP1127 BP1128 BP1129 BP1130

EXAMPLE

In "proofsrequired" BP335 (shape tessellates the plane vs. shape does not tessellate the plane), shapes are only put in the Bongard Problem if they are known to tessellate or not to tessellate the plane. A "noproofs" version of this Bongard Problem would instead allow a shape to be put on the right if it was just (subjectively) really hard to find a way of tessellating the plane with it.

KEYWORD

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

AUTHOR

Aaron David Fairbanks

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.
(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

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