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BP517 Meta Bongard Problems that sort themselves left vs. meta Bongard Problems that sort themselves right.
BP512
BP518
BP537
BP541
BP542
BP544
BP547
BP561
BP794
BP867
BP902
BP967
BP1000
BP1007
BP1074
BP1075
BP1113
BP1126
BP1150
BP1158
BP508
BP509
BP522
BP539
BP546
BP565
BP821
BP895
BP919
BP950
BP1162
BP1194
BP1242
?
BP517
?
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-self" on the OEBP. Right-sorted BPs have the keyword "right-self."

These keywords are added to pages automatically.


Rhetorical questions: Where does this BP sort itself? Where does this BP sort the flipped version of itself?

CROSSREFS

See BP793 for the version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.


See BP1075 for an example of a BP that is tagged "left-self" but would still be tagged "left-self" after the sides in the title were flipped. (This is unusual; a "left-self" BP after being flipped is typically "right-self" and vice versa.)

Adjacent-numbered pages:
BP512 BP513 BP514 BP515 BP516  *  BP518 BP519 BP520 BP521 BP522

KEYWORD

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

WORLD

Multiple options:
linksbp [smaller | same | bigger],
bp_in_own_world [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP519 Meta-BPs that indicate a specific concept appearing in a BP's solution.
BP526
BP578
BP579
BP580
BP581
BP582
BP583
BP584
BP585
BP586
BP587
BP588
BP589
BP590
BP591
BP592
BP593
BP594
BP595
BP596
BP597
BP598
BP599
BP600
BP601
BP602
BP603
BP604
BP605
BP606
BP607
BP608
BP609
BP610
BP611

. . .

BP518
BP519
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

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


These are used under-the-hood by the OEBP system to display the concepts featured in a Bongard Problem; that is the main reason these pages exist.

CROSSREFS

"Metaconcept" implies sideless.

Adjacent-numbered pages:
BP514 BP515 BP516 BP517 BP518  *  BP520 BP521 BP522 BP523 BP524

EXAMPLE

This BP is a right example for itself because it does not indicate the presence of a particular concept in BP solutions.

KEYWORD

meta (see left/right), links, keyword, metameta, right-it, feedback

WORLD

linksbp [smaller | same | bigger]
zoom in left (metaconcept)

AUTHOR

Aaron David Fairbanks

BP561 Meta Bongard Problems fitting in their own world vs. other meta Bongard Problems.
BP561
(edit; present; nest [left/right]; search; history)
COMMENTS

This prompts thinking about left-self and right-self keywords.

CROSSREFS

Adjacent-numbered pages:
BP556 BP557 BP558 BP559 BP560  *  BP562 BP563 BP564 BP565 BP566

KEYWORD

meta (see left/right), links, left-self, sideless, metameta

WORLD

linksbp [smaller | same | bigger]
zoom in left (bp_in_own_world)

AUTHOR

Aaron David Fairbanks

BP566 Meta Bongard Problems of the form "[transformation] applied to some examples switch their sorting vs. sorting is invariant under [transformation]" vs. other meta Bongard Problems.
BP510
BP535
BP539
BP552
BP553
BP554
BP556
BP964
BP974
BP1009
BP1112
BP1140
BP1195
?
BP575
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Bongard Problems labelled "invariance" are usually (but not always) about transformations that can be undone by other transformations of the same class. (The technical term for this kind of transformation is an "isomorphism".)


When the transformations used in a "invariance" Bongard Problem vary continuously, there could usually be made a corresponding stability Bongard Problem. Stability Bongard Problems are like "invariance" Bongard Problems but for arbitrarily small applications of [transformation] affecting examples' sorting.


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".

(The keyword gap is another example of a Bongard Problem currently labelled with "invariance" that arguably does not technically fit.)


Also, 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

"Invariance" Bongard Problems are notso Bongard Problems.

"Invariance" Bongard Problems are often keywords (keyword keyword) on the OEBP.


See keyword problemkiller, which is about transformations making all sorted examples unsortable.

Adjacent-numbered pages:
BP561 BP562 BP563 BP564 BP565  *  BP567 BP568 BP569 BP570 BP571

KEYWORD

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

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP794 Meta Bongard Problems that can contain an infinite chain of Bongard Problems containing Bongard Problems vs. this can never happen.
BP794
BP1073
BP552
BP553
BP554
BP556
BP567
BP572
BP838
BP913
BP958
BP976
BP995
BP1079
BP1081
(edit; present; nest [left/right]; search; history)
COMMENTS

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


This BP is not wellfounded, but its right side is. A paradoxical BP would be "Meta Bongard Problems that can contain an infinite chain of Bongard Problems containing Bongard Problems on the right side vs. this can never happen": where does it sort itself?

CROSSREFS

left-self or right-self implies not wellfounded.


Wellfounded implies not feedback.

Adjacent-numbered pages:
BP789 BP790 BP791 BP792 BP793  *  BP795 BP796 BP797 BP798 BP799

KEYWORD

meta (see left/right), links, keyword, left-self, metameta, left-it, feedback

CONCEPT recursion (info | search)

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1073 Bongard Problems that would sort this Bongard Problem left vs. Bongard Problems that would sort this Bongard Problem right.
BP503
BP510
BP518
BP539
BP541
BP542
BP544
BP547
BP550
BP687
BP691
BP794
BP1000
BP1074
BP1242
BP509
BP519
BP895
BP902
BP1150
?
BP517
?
BP950
?
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

This is the "it" Problem.


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

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

CROSSREFS

Left-it or right-it implies feedback.

Adjacent-numbered pages:
BP1068 BP1069 BP1070 BP1071 BP1072  *  BP1074 BP1075 BP1076 BP1077 BP1078

KEYWORD

nice, meta (see left/right), links, keyword, side, metameta, feedback, time, experimental, funny, testexample, presentationinvariant

CONCEPT recursion (info | search),
self-reference (info | search)

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1074 Meta Bongard Problem in a chain of Problems containing other Problems that eventually loops back to itself vs. this cannot happen.
BP503
BP509
BP510
BP517
BP518
BP519
BP537
BP539
BP541
BP542
BP544
BP546
BP547
BP687
BP691
BP794
BP1000
BP1007
BP1073
BP1074
BP947
(edit; present; nest [left/right]; search; history)
COMMENTS

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

CROSSREFS

"Feedback" implies not wellfounded.

Left-it" or right-it implies "feedback".

Adjacent-numbered pages:
BP1069 BP1070 BP1071 BP1072 BP1073  *  BP1075 BP1076 BP1077 BP1078 BP1079

KEYWORD

arbitrary, meta (see left/right), links, keyword, left-self, metameta, left-it, feedback, experimental

CONCEPT recursion (info | search),
self-reference (info | search)

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1076 Meta Bongard Problems sorting BP1 left vs. meta Bongard Problems sorting BP1 right.
BP501
BP503
BP508
BP509
BP513
BP515
BP541
BP542
BP544
BP546
BP567
BP573
BP627
BP634
BP798
BP883
BP913
BP947
BP1075
BP504
BP507
BP510
BP522
BP537
BP902
BP963
BP1113
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1071 BP1072 BP1073 BP1074 BP1075  *  BP1077 BP1078 BP1079 BP1080 BP1081

KEYWORD

meta (see left/right), links, metameta, testexample

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1170 Meta Bongard Problems of the form "[transformation] applied to any example renders it unsortable vs. some example can remain sorted after [transformation]" vs. other meta Bongard Problems.
BP1142
BP1144
BP1164
BP1169
BP1171
BP1172
BP1173
(edit; present; nest [left/right]; search; history)
COMMENTS

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


An example could be unsortable because it does not conform to the format of all the examples in the Bongard Problem, or it could be formatted like the other examples but be treated ambiguously by the solution. It seems the Bongard Problems currently labeled "problemkiller" mostly deal with examples becoming unsortable because they no longer conform to the format. (The examples become unsortable because they leave the "world" of the Bongard Problem. See https://www.oebp.org/world.php .) - Aaron David Fairbanks, Jun 15 2023

CROSSREFS

"Problemkiller" Bongard Problems are notso Bongard Problems.


See keyword invariance, which is about transformations making some example switch sides rather than transformations making all examples unsortable.

Adjacent-numbered pages:
BP1165 BP1166 BP1167 BP1168 BP1169  *  BP1171 BP1172 BP1173 BP1174 BP1175

KEYWORD

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

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1242 Meta Bongard Problems of the form "would sort [specific example] left vs. would sort [specific example] right" vs. other meta Bongard Problems.
BP567
BP1073
BP1076
BP1160
BP1242
?
BP517
(edit; present; nest [left/right]; search; history)
COMMENTS

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


BP517 ("sorts self left vs. sorts self right") does not quite fit left; it is about the sorting of a specific example, but a different example for every Bongard Problem.

CROSSREFS

testexample implies side.

Adjacent-numbered pages:
BP1237 BP1238 BP1239 BP1240 BP1241  *  BP1243 BP1244 BP1245 BP1246 BP1247

KEYWORD

meta (see left/right), links, keyword, right-self, metameta, left-it

WORLD

linksbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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