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BP503 "Nice" Bongard Problems vs. Bongard Problems the OEBP does not need more like.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP11
BP12
BP15
BP16
BP20
BP23
BP30
BP32
BP33
BP50
BP51
BP57
BP59
BP62
BP70
BP71
BP72
BP74
BP76
BP77
BP85
BP97
BP98
BP100
BP106
BP108

. . .

BP213
BP214
BP221
BP231
BP237
BP262
BP538
BP545
BP548
BP555
BP570
BP801
BP862
BP882
BP915
BP920
BP941
BP1000
BP1008
BP1042
BP1043
BP1129
BP1150
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "less." They are not necessarily "bad," but we do not want more like them.

CROSSREFS

Adjacent-numbered pages:
BP498 BP499 BP500 BP501 BP502  *  BP504 BP505 BP506 BP507 BP508

KEYWORD

subjective, meta (see left/right), links, keyword, oebp, right-finite, left-it, feedback, time

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP514 Bongard Problems whose right examples could stand alone vs. the left side is necessary to communicate what the right side is.
BP4
BP31
BP328
BP334
BP345
BP347
BP359
BP373
BP829
BP850
BP922
BP924
BP932
BP1049
BP1171
BP1213
BP1216
BP1219
?
BP544
(edit; present; nest [left/right]; search; history)
COMMENTS

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


This sorts Bongard Problems based on how BP513 (left-narrow) would sort them if they were flipped; see that page for a description.

CROSSREFS

Adjacent-numbered pages:
BP509 BP510 BP511 BP512 BP513  *  BP515 BP516 BP517 BP518 BP519

KEYWORD

dual, meta (see left/right), links, keyword, side

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP634 Bongard Problem with solution relating to concept: existence vs. Bongard Problem unrelated to this concept.
BP1
BP21
BP24
BP26
BP30
BP33
BP92
BP118
BP119
BP131
BP138
BP152
BP209
BP210
BP221
BP266
BP276
BP290
BP296
BP298
BP343
BP347
BP349
BP368
BP391
BP394
BP544
BP560
BP829
BP832
BP833
BP1056
BP1209
BP1221
BP1224

. . .

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

Adjacent-numbered pages:
BP629 BP630 BP631 BP632 BP633  *  BP635 BP636 BP637 BP638 BP639

KEYWORD

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

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP731 Bongard Problem with solution relating to concept: clustering by shape vs. Bongard Problem unrelated to this concept.
BP29
BP42
BP49
BP61
BP66
BP128
BP143
BP144
BP190
BP310
BP347
BP349
BP356
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP726 BP727 BP728 BP729 BP730  *  BP732 BP733 BP734 BP735 BP736

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP732 Bongard Problem with solution relating to concept: needs cluster of 1 vs. Bongard Problem unrelated to this concept.
BP81
BP83
BP89
BP90
BP149
BP156
BP166
BP167
BP169
BP220
BP347
BP349
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP727 BP728 BP729 BP730 BP731  *  BP733 BP734 BP735 BP736 BP737

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP733 Bongard Problem with solution relating to concept: clustering vs. Bongard Problem unrelated to this concept.
BP25
BP26
BP27
BP28
BP29
BP41
BP42
BP48
BP49
BP58
BP61
BP65
BP66
BP81
BP83
BP84
BP89
BP90
BP99
BP128
BP141
BP142
BP143
BP144
BP145
BP147
BP149
BP156
BP166
BP167
BP169
BP186
BP187
BP189
BP190

. . .

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

Adjacent-numbered pages:
BP728 BP729 BP730 BP731 BP732  *  BP734 BP735 BP736 BP737 BP738

KEYWORD

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

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP1124 Bongard Problems such that examples are always by default sorted left, until some unforeseen way of fitting right is noticed (a person is never "sure" something should fit left, but can be "sure" something fits right) vs. vice versa.
BP347
BP829
BP1127
BP801
BP1155
BP1163
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right-sorted Bongard Problems have the keyword "right-unknowable".


Think of searching for needles in endless haystacks. You can be sure a haystack has a needle by finding it, but you can never be sure a haystack does not have a needle.


When a Bongard Problem is "left-unknowable", individual examples cannot be determined for certain to fit left, by any means. The author of the Bongard Problem just chooses some examples that seem to fit left. (See also the noproofs keyword.)


It is very extreme for this to apply to all examples without exception. Often a Bongard Problem is close to being purely left-unknowable, but a few examples spoil it by being obviously disqualified from the right side for some reason.


It is natural for a person to guess the solution to an unknowable Bongard Problem before actually understanding all the knowable examples, taking some of them on faith.

As a prank, take a left- or right- unknowable Bongard Problem and put an example that actually belongs on the unknowable side on the knowable side. The solver will have to take it on faith there is some reason it fits there they are not seeing.

(The property of having this kind of sorting mistake is unknowable for left- or right- unknowable Bongard Problems.)



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 a property that is nowhere directly observable is a "subset with empty interior". Furthermore, the fact that the negation of the property is observable corresponds to the subset being "closed".

CROSSREFS

Left- or right- unknowable Bongard Problems are generally notso Bongard Problems: an example fits on one side just in case it cannot be observed to fit on the other.


Although the descriptions of left-couldbe and right-couldbe sound similar to "left-unknowable" and "right-unknowable", they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found. For any example sorted on a "could be" side, there is a clear (knowable) absence of information whose presence would justify the example being on the other side.

Sometimes an unknowable BP can be turned into a couldbe BP by explicitly restricting the amount of available information. For example, if there were a hypothetical Bongard Problem with infinitely detailed pictures, using a low resolution for all pictures could simplify the issue of detecting some properties that would be "unknowable". Many fractal-based BPs are this way (e.g. BP1122). See keyword infinitedetail.


Right-unknowable Bongard Problems are generally left-narrow (and left-unknowable Bongard Problems are generally right-narrow).


A Bongard Problem with examples on both sides cannot be tagged both proofsrequired and left- or right- unknowable.


Many Bongard Problems are about finding rules (keyword rules)--in each panel a rule is to be found, and there are no specified limits about what kind of rule it can be or how abstract it can be. (Just like a Bongard Problem.) "There is a rule vs. there isn't" (resp. vice versa) are right- (resp. left-) unknowable. (That is, disregarding cases that obviously do not define a rule because of some trivial disqualifying reason.)


Actually, I think there is something more to be said about this. It is possible to design examples that signal there is no rule to be found. See for example EX9138 in BP1127 and EX6829 in BP829. (Related: keyword help.) Each of these examples communicates a clear rule that "doesn't count". And there is so little information shown that a person can feel confident they've noticed all the relevant details. So, contrary to how they are currently tagged, these Bongard Problems aren't strictly "unknowable"; there are some exceptional knowable cases. But being too strict about the definition of "unknowable" makes it so there aren't any examples of unknowable Bongard Problems, so it's probably better to be a bit loose. - Aaron David Fairbanks, Apr 20 2022

Adjacent-numbered pages:
BP1119 BP1120 BP1121 BP1122 BP1123  *  BP1125 BP1126 BP1127 BP1128 BP1129

EXAMPLE

The perfect example is BP1163.


Interesting example of a Bongard Problem that is neither left-unknowable nor right unknowable in particular, but for which it is impossible to know whether any example fits on either side: BP1229 (translational symmetry vs. not) made with examples that can be expanded to any larger finite region the solver wants to look at. In this case, examples could only be sorted based on what they seem like (see seemslike), trusting they appear in a way that hints psychologically at what they actually are (see help).

KEYWORD

dual, meta (see left/right), links, keyword, side, viceversa

CONCEPT semidecidable (info | search)

AUTHOR

Aaron David Fairbanks

BP1194 Bongard Problems listed in Harry E. Foundalis's collection vs. not.
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
BP31
BP32
BP33
BP34
BP35

. . .

BP501
BP503
BP504
BP505
BP506
BP507
BP508
BP509
BP510
BP1194
(edit; present; nest [left/right]; search; history)
COMMENTS

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

REFERENCE

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

CROSSREFS

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

EXAMPLE

Foundalis's collection includes all Bongard Problems by Bongard.

KEYWORD

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

AUTHOR

Aaron David Fairbanks

BP1265 Visual Bongard Problems about unsorted collections of objects vs. other visual Bongard Problems.
BP343
BP347
BP349
BP379
BP380
BP384
BP792
?
BP824
(edit; present; nest [left/right]; search; history)
COMMENTS

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


A Problem is sorted left if its examples typically multiple objects, and the solution pertains to the way properties of the objects interrelate. If the positions of objects are relevant to the solution (see "sequence" Problems: BP929), then the Problem is sorted right.



CROSSREFS

Adjacent-numbered pages:
BP1260 BP1261 BP1262 BP1263 BP1264  *  BP1266 BP1267 BP1268 BP1269

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Leo Crabbe

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