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BP541 Bongard Problems vs. anything else.
BP1
BP2
BP3
BP4
BP541
BP1073

blllmam

cat

nongard

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

This refers to all Bongard Problem solution ideas. No need to be a particularly well-made or well-defined Bongard Problem.

CROSSREFS

Adjacent-numbered pages:
BP536 BP537 BP538 BP539 BP540  *  BP542 BP543 BP544 BP545 BP546

KEYWORD

notso, meta (see left/right), links, world, left-self, right-null, left-it, feedback

WORLD

everything [smaller | same]
zoom in left (bp)

AUTHOR

Aaron David Fairbanks

BP542 BP Pages on the OEBP vs. anything else.
BP1
BP2
BP3
BP542
BP1073
BP0

nolab

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

Adjacent-numbered pages:
BP537 BP538 BP539 BP540 BP541  *  BP543 BP544 BP545 BP546 BP547

KEYWORD

notso, meta (see left/right), links, oebp, world, left-self, right-null, left-it, feedback

WORLD

everything [smaller | same]
zoom in left (bppage)

AUTHOR

Aaron David Fairbanks

BP544 Everything vs. nothing.

&(%

0

BP1
BP544
BP1073

dog

nothing

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

All ideas and things, with no limits.

CROSSREFS

Adjacent-numbered pages:
BP539 BP540 BP541 BP542 BP543  *  BP545 BP546 BP547 BP548 BP549

KEYWORD

notso, meta (see left/right), links, world, left-self, right-finite, right-full, left-null, left-it, feedback, experimental, funny

CONCEPT existence (info | search)

WORLD

everything [smaller | same]
zoom in left (everything) | zoom in right (nothing)

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

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

BP902 This Bongard Problem vs. anything else.
BP902
BP1

becious

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

Although this Bongard Problem is self-referential, it's only because of the specific phrasing of the solution. "BP902 vs. anything else" would also work. The number 902 could have been chosen coincidentally.

CROSSREFS

See BP953, BP959.

Adjacent-numbered pages:
BP897 BP898 BP899 BP900 BP901  *  BP903 BP904 BP905 BP906 BP907

KEYWORD

notso, meta (see left/right), links, left-self, left-narrow, left-finite, left-full, right-null, right-it, invalid, experimental, funny

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

WORLD

everything [smaller | same]
zoom in left (bp902)

AUTHOR

Leo Crabbe

BP1107 Contains smaller copy of self with black and white inverted vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

There are various problematic cases left out. Are black and white to be inverted within a fractal's convex hull or its outermost outline?

Must this outline be preserved around the smaller inverted version of the fractal, or is it allowed to bleed into other white areas?

No examples have been included in this Bongard Problem whose placement depends on these questions.

CROSSREFS

Adjacent-numbered pages:
BP1102 BP1103 BP1104 BP1105 BP1106  *  BP1108 BP1109 BP1110 BP1111 BP1112

KEYWORD

perfect, infinitedetail

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

WORLD

fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1108 Solid chunk of black space in neighborhood of any point of the fractal vs. solid chunk of white space in any neighborhood.
?
?
?
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1103 BP1104 BP1105 BP1106 BP1107  *  BP1109 BP1110 BP1111 BP1112 BP1113

KEYWORD

right-null, perfect, infinitedetail, assumesfamiliarity, neither

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

WORLD

fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1116 Contains self somewhere within any area around any point within self vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Very similar to the less clearly-defined solution "tiles itself with infinitely many copies (different sizes allowed) vs. does not".


The left hand side of this is a weaker condition than the left hand side of BP1241.

CROSSREFS

Adjacent-numbered pages:
BP1111 BP1112 BP1113 BP1114 BP1115  *  BP1117 BP1118 BP1119 BP1120 BP1121

KEYWORD

notso, perfect, infinitedetail

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

WORLD

connected_fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1118 Self-similar only scaled about one point vs. multiple centers of self-similarity.
(edit; present; nest [left/right]; search; history)
COMMENTS

There is only ever one such center of self-similarity or infinitely many.

CROSSREFS

Adjacent-numbered pages:
BP1113 BP1114 BP1115 BP1116 BP1117  *  BP1119 BP1120 BP1121 BP1122 BP1123

KEYWORD

nice, perfect, infinitedetail

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

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1241 Any point contained in (arbitrarily) smaller version of self vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Note if any point is contained in some smaller version of the whole, then any point is contained in arbitrarily smaller versions of the whole.


It isn't possible to unambiguously communicate in a picture whether or not a few specific points are included in the fractal. The pictures are interpreted as what is intuitively simplest. To make matters less ambiguous, all the fractals here contain all points arbitrarily close to points in them. (They are topologically closed. See also BP1239.)


The left hand side of this is a stronger condition than the left hand side of BP1116.

CROSSREFS

Adjacent-numbered pages:
BP1236 BP1237 BP1238 BP1239 BP1240  *  BP1242 BP1243 BP1244 BP1245 BP1246

KEYWORD

notso, perfect, infinitedetail

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

WORLD

connected_fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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