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BP964 Bongard Problems such that making repeated small changes can switch an example's sorting vs. Bongard Problems in which the two sides are so different that it is impossible to cross the gap by making successive small changes to examples while staying within the class of examples sorted by the Bongard Problem (there is no middle-ground between the sides; there is no obvious choice of shared ambient context both sides are part of).
BP2
BP4
BP8
BP9
BP3
BP16
BP23
BP363
BP962
BP1219
BP1253
(edit; present; nest [left/right]; search; history)
COMMENTS

Right-sorted BPs have the keyword "gap" on the OEBP.


A Bongard Problem with a gap showcases two completely separate classes of objects.


For example, the Bongard Problem "white vs. black" (BP962) has a gap; there is no obvious choice of shared context between the two sides. One could imagine there is a spectrum of grays between them, or that there is a space of partially filled black-and-white images between them, or any number of other ambient contexts.


Bongard Problems about comparing quantities on a spectrum should not usually be considered "gap" BPs. (Discrete spectra perhaps.) A spectrum establishes a shared context, with examples on both sides of the BP landing somewhere on it. (However, if it is reasonable to imagine getting the solution without noticing a spectrum in between, it could be a gap, since the ambient context is unclear.)


Bongard Problems with gaps may seem particularly arbitrary when the two classes of objects are particularly unrelated.

CROSSREFS

If a Bongard Problem has a "gap" it is likely precise: it will likely be clear on which side any potential example fits.


"Gap" implies stable. (This technically includes cases in which ALL small changes make certain examples no longer fit in with the Bongard Problem, as is sometimes the case in "gap" BPs. See also BP1144.)


See also preciseworld. "Gap" Bongard Problems would be tagged "preciseworld" when the two classes of objects are each clear; it is then apparent that there is no larger shared context and that no other types of objects besides the two types would be sorted by the Bongard Problem.


See BP1140, which is about any (perhaps large) additions instead of repeated small changes.

Adjacent-numbered pages:
BP959 BP960 BP961 BP962 BP963  *  BP965 BP966 BP967 BP968 BP969

KEYWORD

unwordable, meta (see left/right), links, keyword, sideless, invariance

AUTHOR

Aaron David Fairbanks

BP974 "Bounding-box-dependent" Bongard Problems vs. Bongard Problems in which the bounding box can be extended arbitrarily in any direction (in white space) without switching the sorting of any examples.
BP8
BP157
BP209
BP210
BP243
BP257
BP312
BP321
BP525
BP818
BP942
BP966
BP971
BP972
BP1008
BP1014
BP1089
BP1093
BP1104
BP1122
BP1132
BP1156
BP1245
?
BP2
(edit; present; nest [left/right]; search; history)
COMMENTS

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


Slightly different: sliding the content in a box around without letting it cross the bounding box and without changing the size of the bounding box. (See keyword absoluteposition.)


Expanding the boxes of BP2 ("big vs. small") makes the contents smaller in comparison to the box, but not smaller in an absolute sense. Hence the situation is ambiguous.

CROSSREFS

If a Bongard Problem has the keyword absoluteposition, then it likely has the keyword boundingbox.

If a Bongard Problem has the keyword boundingbox and does not have the keyword bordercontent, then it likely has the keyword absoluteposition.

Adjacent-numbered pages:
BP969 BP970 BP971 BP972 BP973  *  BP975 BP976 BP977 BP978 BP979

KEYWORD

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

AUTHOR

Aaron David Fairbanks

BP1150 Even BP number on the OEBP vs. odd BP number on the OEBP.
BP2
BP4
BP6
BP8
BP10
BP12
BP14
BP16
BP18
BP20
BP100
BP1150
BP1
BP3
BP5
BP7
BP9
BP11
BP13
BP15
BP17
BP19
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

This was created as an example for BP1073 (left-it versus right-it).

CROSSREFS

Adjacent-numbered pages:
BP1145 BP1146 BP1147 BP1148 BP1149  *  BP1151 BP1152 BP1153 BP1154 BP1155

KEYWORD

less, meta (see left/right), links, oebp, example, left-self, presentationmatters, right-it, experimental, left-listable, right-listable

CONCEPT even_odd (info | search)

AUTHOR

Aaron David Fairbanks

BP1194 Bongard Problems listed in Harry E. Foundalis's collection vs. not.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP31
BP32
BP33
BP34
BP35

. . .

BP501
BP503
BP504
BP505
BP506
BP507
BP508
BP509
BP510
BP1194
(edit; present; nest [left/right]; search; history)
COMMENTS

Alternatively, BP pages on the OEBP with number less than or equal to 394 vs. other BP pages.

REFERENCE

https://www.foundalis.com/res/bps/bpidx.htm

CROSSREFS

Adjacent-numbered pages:
BP1189 BP1190 BP1191 BP1192 BP1193  *  BP1195 BP1196 BP1197 BP1198 BP1199

EXAMPLE

Foundalis's collection includes all Bongard Problems by Bongard.

KEYWORD

meta (see left/right), links, right-self, time

AUTHOR

Aaron David Fairbanks

BP1195 Bongard Problems that depend on absolute positioning within the bounding box vs. shifting at once all content within the bounding box (without letting it cross the bounding box) will not switch the sorting of any examples.
BP8
BP209
BP243
BP257
BP312
BP818
BP971
BP972
BP1008
BP1104
BP1122
BP1132
BP1156
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP9
BP10
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left have the keyword "absoluteposition" on the OEBP.


The repositioned content has to stay within the box. If an example in a Bongard Problem features content touching a border (keyword bordercontent), then that prevents the contents from being shifted in that direction.

CROSSREFS

If a Bongard Problem has the keyword "absoluteposition", then it likely has the keyword boundingbox.

If a Bongard Problem has the keyword boundingbox and does not have the keyword bordercontent, then it likely has the keyword "absoluteposition".

Adjacent-numbered pages:
BP1190 BP1191 BP1192 BP1193 BP1194  *  BP1196 BP1197 BP1198 BP1199 BP1200

KEYWORD

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

AUTHOR

Aaron David Fairbanks

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