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BP334 Odd number of dots vs. even number of dots.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP334 for a version of the same idea, but using arbitrary shapes instead of dots.

Adjacent-numbered pages:
BP329 BP330 BP331 BP332 BP333  *  BP335 BP336 BP337 BP338 BP339

KEYWORD

precise, allsorted, number, math, left-narrow, right-narrow, right-null, help, traditional, preciseworld

CONCEPT even_odd (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP384 Square number of dots vs. non-square number of dots.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are a collection of dots.


An equivalent solution is "Dots can be arranged into a square lattice whose convex hull is a square vs. not so". - Leo Crabbe, Aug 01 2020

CROSSREFS

Adjacent-numbered pages:
BP379 BP380 BP381 BP382 BP383  *  BP385 BP386 BP387 BP388 BP389

EXAMPLE

A single dot fits because 1 = 1*1.

A pair of dots does not fit because there is no integer x such that 2 = x*x.

KEYWORD

nice, precise, allsorted, number, math, left-narrow, left-null, help, traditional, preciseworld

CONCEPT square_number (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Jago Collins

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

BP569 Triangular number of dots vs. non-triangular number of dots
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are groups of black dots.


The nth triangular number is the sum over the natural numbers from 1 to n, where n > 0. Note: 0 is the 0th triangular number. The first few triangular numbers are 0, 1, 3 (= 1+2) and 6 (= 1+2+3)

CROSSREFS

Adjacent-numbered pages:
BP564 BP565 BP566 BP567 BP568  *  BP570 BP571 BP572 BP573 BP574

KEYWORD

nice, precise, allsorted, notso, number, math, left-narrow, left-null, help, preciseworld

WORLD

dots [smaller | same | bigger]

AUTHOR

Leo Crabbe

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

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

BP945 Cube number of dots vs. non-cube number of dots.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP940 BP941 BP942 BP943 BP944  *  BP946 BP947 BP948 BP949 BP950

KEYWORD

precise, allsorted, number, left-null, help, preciseworld

CONCEPT cube (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Leo Crabbe

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