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BP910 Bongard Problem with solution relating to concept: multiplicative product vs. Bongard Problem unrelated to this concept.
BP907
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP905 BP906 BP907 BP908 BP909  *  BP911 BP912 BP913 BP914 BP915

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP913 Bongard Problems in which fine subtleties of images may be considered with respect to the solution (no slightly wrong hand-drawings!) vs. other visual Bongard Problems.
BP1
BP160
BP199
BP210
BP211
BP213
BP216
BP217
BP223
BP312
BP321
BP324
BP325
BP335
BP341
BP344
BP348
BP367
BP368
BP386
BP523
BP529
BP530
BP531
BP532
BP533
BP551
BP557
BP559
BP564
BP816
BP852
BP859
BP860
BP861

. . .

BP5
BP6
BP72
BP91
BP136
BP148
?
BP119
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right examples have the keyword "ignoreimperfections".


Consider the difference in style between BP344 and BP24.


Hand-drawn figures in BPs are typically imperfect. A "circles vs. squares" BP may only show what are approximately circles and approximately squares. A pedant might append to the solutions of all Bongard Problems the caveat "...when figures are interpreted as the most obvious shapes they approximate."

This is the meaning of the label "ignoreimperfections". On the other hand, the label "perfect" means even the pedant would drop this caveat; either all the images are precise, or precision doesn't matter (see also keyword stable).


Even in BPs tagged "perfect", the tiny rough edges caused by image pixelation are not expected to matter. If the OEBP would indeed prefer users only upload pixel-perfect examples, a BP can be tagged with the stricter keyword pixelperfect.

E.g., for BPs having to do with smooth curves and lines, "perfect" only requires images offer the best possible approximation of those intended shapes given the resolution.


Most Bongard Problems involving small details at all would be tagged "perfect". However, this is not always so; sometimes the small details are intended to be noticed, but certain imperfections are still intended to be overlooked.


BP119 ("small correction results in circle vs. not") is an interesting example: imperfections matter with respect to the outline being closed, but imperfections do not matter with respect to circular-ness.


If a Bongard Problem on the OEBP is tagged "ignoreimperfections" -- i.e., it has imperfect hand drawings -- then other keywords are generally applied relative to the intended idea, a corrected version sans imperfect hand drawings. (For example, this is how the keywords precise and stable are applied. Alternative versions of these keywords, which factor in imperfect hand drawings, could be made instead, but that would be less useful.)




It may be better to change the definition of "perfect" so it only applies to Bongard Problems such that small changes can potentially switch an example's side / remove it from the Bongard Problem. That would cut down on the number of Bongard Problems to label "perfect". There isn't currently a single keyword for "small changes can potentially switch an example's side / remove it from the Bongard Problem", but this is basically captured by unstable or unstableworld. There is also deformunstable which uses a different notion of "small change". - Aaron David Fairbanks, Jun 16 2023

CROSSREFS

See BP508 for discussion of this topic in relation to Bongard Problems tagged precise.


Stable Bongard Problems are generally "perfect".

Pixelperfect implies "perfect".


The keywords proofsrequired and noproofs (BP1125) have a similar relationship: "noproofs" indicates a lenience for a certain kind of imperfection.

Adjacent-numbered pages:
BP908 BP909 BP910 BP911 BP912  *  BP914 BP915 BP916 BP917 BP918

EXAMPLE

Many Bongard Problems involving properties of curves (e.g. BP62) really are about those wiggly, imperfect curves; they qualify as "perfect" problems. On the other hand, Bongard Problems involving polygons, (e.g. BP5) often show only approximately-straight lines; they are not "perfect" problems.

KEYWORD

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

WORLD

visualbp [smaller | same | bigger]
zoom in left (perfect_bp)

AUTHOR

Aaron David Fairbanks

BP914 Bongard Problems relating to concept: five vs. other Bongard Problems.
BP85
BP86
BP87
BP88
BP89
BP231
BP302
BP531
BP1048
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP909 BP910 BP911 BP912 BP913  *  BP915 BP916 BP917 BP918 BP919

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "five"
Searchable synonyms: "5".

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP916 Bongard Problem with solution relating to concept: convey enough information vs. Bongard Problem unrelated to this concept.
BP383
BP917
BP979
BP993
BP1258
(edit; present; nest [left/right]; search; history)
COMMENTS

The solution in the Problems on the left hand side involves one object or set of objects conveying enough information about the property of another object or set of objects.

CROSSREFS

Adjacent-numbered pages:
BP911 BP912 BP913 BP914 BP915  *  BP917 BP918 BP919 BP920 BP921

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP918 Bongard Problem with solution relating to concept: function vs. Bongard Problem unrelated to this concept.
BP839
BP917
BP951
BP1110
BP1157
BP1260
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP913 BP914 BP915 BP916 BP917  *  BP919 BP920 BP921 BP922 BP923

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

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

BP921 Bongard Problem with solution relating to concept: gravity vs. Bongard Problem unrelated to this concept.
BP199
BP234
BP273
BP274
BP551
BP896
BP933
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP916 BP917 BP918 BP919 BP920  *  BP922 BP923 BP924 BP925 BP926

KEYWORD

meta (see left/right), links, metaconcept

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

AUTHOR

Leo Crabbe

BP923 Bongard Problem with solution relating to concept: permutation vs. Bongard Problem unrelated to this concept.
BP842
BP904
BP922
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP918 BP919 BP920 BP921 BP922  *  BP924 BP925 BP926 BP927 BP928

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP928 Bongard Problems about sequences vs. other Bongard Problems.
BP926
(edit; present; nest [left/right]; search; history)
COMMENTS

Zero, one, or two objects may technically form a sequence, but if ALL examples of a BP have zero, one, or two objects, we do not consider that BP to be about sequences.

CROSSREFS

See BP929 for distinction between sequences of arbitrary length and sequences of fixed length (keywords "sequence" and "fixedsequence").

Adjacent-numbered pages:
BP923 BP924 BP925 BP926 BP927  *  BP929 BP930 BP931 BP932 BP933

KEYWORD

stub, meta (see left/right), links

WORLD

bp [smaller | same | bigger]
zoom in left (sequence_visualbp)

AUTHOR

Aaron David Fairbanks

BP929 Bongard Problems about sequences of arbitrary length vs. Bongard Problems about sequences in which all examples have the same sequence length.
BP350
BP351
BP352
BP353
BP354
BP355
BP926
BP931
BP956
BP986
BP1148
BP1149
BP1197
BP1268
(edit; present; nest [left/right]; search; history)
COMMENTS

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

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


Zero, one, or two objects may technically form a sequence, but if ALL examples of a BP have zero, one, or two objects, we do not consider that BP to be about sequences. BPs about fixed two-object sequences are ordered pairwise comparison BPs, orderedpair.


The world of this Bongard Problem is BP928.

CROSSREFS

See also grid versus fixedgrid.

Adjacent-numbered pages:
BP924 BP925 BP926 BP927 BP928  *  BP930 BP931 BP932 BP933 BP934

KEYWORD

meta (see left/right), links, keyword

WORLD

sequence_visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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