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BP909 Totally ordered triplet comparison Bongard Problems vs. partially ordered triplet comparison Bongard Problems
BP54
BP64
BP558
BP381
BP790
BP791
BP907
(edit; present; nest [left/right]; search; history)
COMMENTS

Swapping any 2 objects in a totally ordered triplet would change the information being conveyed. A partially ordered triplet could be parsed as an unordered pair and a 3rd object that relates to the pair.

CROSSREFS

Adjacent-numbered pages:
BP904 BP905 BP906 BP907 BP908  *  BP910 BP911 BP912 BP913 BP914

KEYWORD

meta (see left/right), links

WORLD

ordered_triplet_comparison_bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

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

BP911 Red shape vs. blue shape.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP906 BP907 BP908 BP909 BP910  *  BP912 BP913 BP914 BP915 BP916

KEYWORD

easy, dual, arbitrary, color, experimental

AUTHOR

Aaron David Fairbanks

BP912 Imperfectly drawn shapes vs. perfectly drawn shapes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP907 BP908 BP909 BP910 BP911  *  BP913 BP914 BP915 BP916 BP917

KEYWORD

perfect, contributepairs

CONCEPT curve_texture (info | search)

WORLD

zoom in right (shape_outline)

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

BP915 Finite number of dots vs. infinite number of dots.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP910 BP911 BP912 BP913 BP914  *  BP916 BP917 BP918 BP919 BP920

KEYWORD

less, notso, spectrum, number, example, left-null, impossible, experimental

CONCEPT finite_infinite (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Jago Collins

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

BP917 Reversible transformations vs. non-reversible transformations.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.

REFERENCE

https://en.wikipedia.org/wiki/Injective_function

CROSSREFS

Adjacent-numbered pages:
BP912 BP913 BP914 BP915 BP916  *  BP918 BP919 BP920 BP921 BP922

KEYWORD

nice, abstract, creativeexamples, structure, rules, miniworlds

CONCEPT convey_enough_information (info | search),
function (info | search)

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

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