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BP571 Bongard Problems that require mathematical understanding to solve vs. other Bongard Problems.
BP171
BP203
BP319
BP326
BP327
BP333
BP334
BP335
BP339
BP340
BP341
BP344
BP369
BP370
BP378
BP380
BP381
BP382
BP384
BP505
BP560
BP562
BP563
BP569
BP576
BP788
BP790
BP791
BP797
BP801
BP806
BP809
BP810
BP811
BP813

. . .

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

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


Although everything is arguably related to math, these BP solutions include content that people don't inherently understand without learning at least some mathematics.


Left examples do not technically have "culturally-dependent" content (keyword culture), but knowledge and previous learning plays a role in how easy they are to solve.

CROSSREFS

Adjacent-numbered pages:
BP566 BP567 BP568 BP569 BP570  *  BP572 BP573 BP574 BP575 BP576

KEYWORD

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP697 Bongard Problem with solution relating to concept: sequence (arithmetic) vs. Bongard Problem unrelated to this concept.
BP318
BP825
BP986
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP692 BP693 BP694 BP695 BP696  *  BP698 BP699 BP700 BP701 BP702

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP826 Hard Bongard Problems a person has been seen to solve without cheating vs. hard Bongard Problems no one is known to have solved yet without cheating.
BP394
BP564
BP793
BP813
BP825
BP849
BP904
BP927
BP934
BP955
BP957
BP1129
BP1130
BP559
BP796
BP801
BP860
BP871
BP872
BP875
BP876
BP877
BP878
BP944
BP954
BP998
BP1011
BP1038
BP1040
BP1120
BP1200
BP1245
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


CROSSREFS

Adjacent-numbered pages:
BP821 BP822 BP823 BP824 BP825  *  BP827 BP828 BP829 BP830 BP831

KEYWORD

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

AUTHOR

Aaron David Fairbanks

BP867 Bongard Problem with solution that can be naturally expressed as "___ vs. not so" vs. not so.
BP32
BP77
BP82
BP127
BP243
BP257
BP274
BP288
BP323
BP344
BP376
BP381
BP385
BP390
BP506
BP507
BP515
BP516
BP538
BP541
BP542
BP544
BP545
BP553
BP559
BP569
BP576
BP812
BP816
BP818
BP823
BP825
BP852
BP866
BP867

. . .

BP6

Qat

blimp

notso

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COMMENTS

Left-sorted BPs have the keyword "notso" on the OEBP.


This meta Bongard Problem is about Bongard Problems featuring two rules that are conceptual opposites.


Sometimes both sides could be seen as the "not" side: consider, for example, two definitions of the same Bongard Problem, "shape has hole vs. does not" and "shape is not filled vs. is". It is possible (albeit perhaps unnatural) to phrase the solution either way when the left and right sides partition all possible relevant examples cleanly into two groups (see the allsorted keyword).


When one property is "positive-seeming" and its opposite is "negative-seeming", it usually means the positive property would be recognized without counter-examples (e.g. a collection of triangles will be seen as such), while the negative property wouldn't be recognized without counter-examples (e.g. a collection of "non-triangle shapes" will just be interpreted as "shapes" unless triangles are shown opposite them).


BP513 (keyword left-narrow) is about Bongard Problems whose left side can be recognized without the right side. When a Bongard Problem is left-narrow and not "right-narrow that usually makes the property on the left seem positive and the property on the right seem negative.


The OEBP by convention has preferred the "positive-seeming" property (when there is one) to be on the left side.


All in all, the keyword "notso" should mean:

1) If the Bongard Problem is "narrow" on at least one side, then it is left-narrow.

2) The right side is the conceptual negation of the left side.


If a Bongard Problem's solution is "[Property A] vs. not so", the "not so" side is everything without [Property A] within some suitable context. A Bongard Problem "triangles vs. not so" might only include simple shapes as non-triangles; it need not include images of boats as non-triangles. It is not necessary for all the kitchen sink to be thrown on the "not so" side (although it is here).

CROSSREFS

See BP1001 for a version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP. (This version is a little different. In BP1001, the kitchen sink of all other possible images is always included on the right "not so" side, rather than a context-dependent conceptual negation.)


Contrast keyword viceversa.


"[Property A] vs. not so" Bongard Problems are often allsorted, meaning they sort all relevant examples--but not always, because sometimes there exist ambiguous border cases, unclear whether they fit [Property A] or not.

Adjacent-numbered pages:
BP862 BP863 BP864 BP865 BP866  *  BP868 BP869 BP870 BP871 BP872

KEYWORD

notso, meta (see left/right), links, keyword, left-self, funny

WORLD

everything [smaller | same]
zoom in left

AUTHOR

Aaron David Fairbanks

BP1165 Visual Bongard Problems where all possible sorted examples share a specific black region vs. not so.
BP159
BP244
BP294
BP303
BP314
BP315
BP316
BP346
BP376
BP505
BP790
BP791
BP801
BP805
BP825
BP839
BP850
BP927
BP934
BP944
BP1105
BP1157
BP211
BP337
BP359
BP972
BP1149
BP1153
BP1161
(edit; present; nest [left/right]; search; history)
CROSSREFS

Any miniproblems BP with all examples in the same format will be sorted left.

See also the keyword structure.

Adjacent-numbered pages:
BP1160 BP1161 BP1162 BP1163 BP1164  *  BP1166 BP1167 BP1168 BP1169 BP1170

KEYWORD

notso, meta (see left/right), links

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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