|
|
BP829 |
| Image of a Bongard Problem with no simple solution versus image of a Bongard Problem with a simple solution. |
|
| |
|
|
COMMENTS
|
Left examples have no solution, but they do not break the rules in ways so extreme that it is plainly impossible for them to have a solution, such as including the same image on both sides or including no images per side. (See such as including the same image on both sides or including no images per side. |
|
CROSSREFS
|
See BP522 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).
See BP968 (flipped) for a version of this Bongard Problem including examples of invalid Bongard Problems that don't even admit a convoluted solution (the same image appears on both sides).
Also see BP1080, which is similar to BP968, but including various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.
Adjacent-numbered pages:
BP824 BP825 BP826 BP827 BP828  *  BP830 BP831 BP832 BP833 BP834
|
|
KEYWORD
|
nice, meta (see left/right), miniproblems, creativeexamples, left-unknowable, right-narrow, assumesfamiliarity, structure, help, presentationinvariant
|
|
CONCEPT
|
existence (info | search), simplicity (info | search), zero (info | search)
|
|
WORLD
|
boxes_bpimage_three_per_side_nosoln_allowed [smaller | same | bigger] zoom in right (boxes_bpimage_three_per_side)
|
|
AUTHOR
|
Aaron David Fairbanks
|
|
|
|
|
BP830 |
| Image of a Bongard Problem with left side a "positive" property and right side the "negative" property versus vice versa. |
|
| |
|
|
COMMENTS
|
Left: the left hand side is enough to communicate the answer; the left pattern can be seen without the counterexamples on the right.
Right: the right hand side is enough to communicate the answer; the right pattern can be seen without counterexamples on the left.
Flipping a BP will switch its sorting.
The following is taken from the comments on page BP513 (keyword left-narrow):
Call a pattern "narrow" if it is likely to be noticed in a collection of examples, without any counterexamples provided.
A collection of triangles will be recognized as such; "triangles" is a narrow pattern. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.
Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]"). |
|
CROSSREFS
|
See keywords left-narrow and right-narrow.
Adjacent-numbered pages:
BP825 BP826 BP827 BP828 BP829  *  BP831 BP832 BP833 BP834 BP835
|
|
KEYWORD
|
dual, handed, leftright, meta (see left/right), miniproblems, contributepairs, viceversa, presentationinvariant
|
|
WORLD
|
boxes_bpimage_three_per_side [smaller | same | bigger]
|
|
AUTHOR
|
Aaron David Fairbanks
|
|
|
|
|
BP831 |
| Image of a Bongard Problem with left side having two rules and right side narrowing it down vs. image of Bongard Problem whose right hand side adds no information. |
|
| |
|
|
|
|
|
BP832 |
| Image of a Bongard Problem with solution presence of a specific object vs. image of a Bongard Problem with solution presence of a type of object. |
|
| |
|
|
|
|
|
BP833 |
| Image of a Bongard Problem with (left) solution property that can have multiplicity vs. not so. |
|
| |
|
|
|
|
|
BP834 |
| Image of a Bongard Problem such that the bottom left box rules out a solution vs. no single box affects the solution. |
|
| |
|
|
|
|
|
BP835 |
| Image of a Bongard Problem with solution about tiling vs. not so. |
|
| |
|
|
|
|
|
BP836 |
| Image of a Bongard Problem with solution about a geometrical symmetry (invariance under spatial transformation) vs. not so. |
|
| |
|
|
|
|
|
BP837 |
| Bongard Problems in which individual examples may be unclearly sorted (it may be arguable which side they should go on) but many examples together are still able to communicate the solution vs. other Bongard Problems. |
|
| |
|
|
COMMENTS
|
Left examples have the keyword "collective" on the OEBP.
Some Bongard Problems are "collective" in a more extreme way than others. Perhaps there are absolutely no individual examples that anyone would confidently sort on either side, and the solver can only be expected to get a vague gist by seeing them all together. Or perhaps in practice most people agree about where most examples should fit, even though a stretch of an argument could conceivably be made for each one fitting on the other side.
In some collective Bongard Problems, each example admits a number of possible interpretations, and the correct choice of interpretation is only clear once the solution is known. The group of examples together improve the solver's confidence about having understood each individual one right. This is common in rules Bongard Problems), where each example communicates its own rule.
Collective Bongard Problems are borderline invalid Bongard Problems (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. It is a less strict kind of Bongard Problem. |
|
CROSSREFS
|
Collective implies fuzzy.
Collective Bongard Problems are often abstract".
Subjective Bongard Problems are often collective.
In some Bongard Problems, each example has a corresponding slightly different twin example on the other side (keyword contributepairs), and it is necessary to see both examples together in order to be able to sort either of them. This is related to "collective" but not quite the same. It becomes unambiguous where an example fits once its twin is seen.
Adjacent-numbered pages:
BP832 BP833 BP834 BP835 BP836  *  BP838 BP839 BP840 BP841 BP842
|
|
KEYWORD
|
meta (see left/right), links, keyword
|
|
WORLD
|
bp [smaller | same | bigger]
|
|
AUTHOR
|
Aaron David Fairbanks
|
|
|
|
|
BP838 |
| Visual Bongard Problems that through many examples build up consistent interpretations of objects (a language of symbolism) vs. other visual Bongard Problems. |
|
| |
|
|
COMMENTS
|
Left-sorted Bongard Problems have the keyword "consistentsymbols" on the OEBP.
A most extreme "consistentsymbols" Bongard Problem is BP121: the solution is about codes consistently symbolizing objects. However, "consistentsymbols" Bongard Problems may have solution unrelated to the symbolism; the symbolism may just be implicit, e.g. always meaning dots as numbers, always meaning stacked dots as fractions, repeatedly using the same simple drawings as shorthand to represent platonic solids. Most BPs have some symbolism in this sense; a Bongard Problem should only be labelled "consistentsymbols" if there is a relatively high amount of varied symbolism, particularly if it is visual symbolism not all people would naturally understand.
A Bongard Problem featuring a real language would be another extreme example of "consistentsymbols".
A Bongard Problem with many varied images meant to be interpreted in unique ways is not necessarily "consistentsymbols," since there is no specific-to-this-Bongard-Problem vocabulary of symbols that must be known to understand it. (Even so, some might say that how people intuitively interpret images is a vocabulary on its own.)
Sometimes, the symbolism isn't an important part of the Bongard Problem, and it just helps make the Bongard Problem easier to read (see the help keyword). For example, a Bongard Problem may include many clumps of dots, and the solution of the Problem may have to do with counting the number of dots in each clump; the Bongard Problem might build up a symbolic context by always arranging each number of dots in a consistent way (e.g. how they conventionally appear on dice faces). |
|
CROSSREFS
|
"Consistentsymbols" is related to the keyword structure, a format that all examples fit that the solver needs to know how to read. In "consistentsymbols" Bongard Problems, not all examples need to fit a rigid format; instead there may be various smaller structures of meaning that only appear in some examples.
"Consistentsymbols" is related to assumesfamiliarity, BPs that require the solver to take certain assumptions about what the examples are for the solution to seem simple. A "consistentsymbols" Bongard Problem may have a very convoluted solution that involves explaining the meaning of each appearing object; however, the solution can become simple given correct interpretations of all objects. This effect works best when each object must be interpreted the same way across all boxes in order for the simple solution to fit. The comments sections of "consistentsymbols" BP pages on the OEBP ought to explain the symbolism used.
Adjacent-numbered pages:
BP833 BP834 BP835 BP836 BP837  *  BP839 BP840 BP841 BP842 BP843
|
|
KEYWORD
|
meta (see left/right), links, keyword, wellfounded
|
|
WORLD
|
visualbp [smaller | same | bigger]
|
|
AUTHOR
|
Aaron David Fairbanks
|
|
|
|
Welcome |
Solve |
Browse |
Lookup |
Recent |
Links |
Register |
Contact
Contribute |
Keywords |
Concepts |
Worlds |
Ambiguities |
Transformations |
Invalid Problems |
Style Guide |
Goals |
Glossary
|
|
|
|
|
|
|
|
|