Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely an image of a circle, but they fit left because nothing indicates that they are not an image of a circle. A more pedantic solution to this Bongard Problem would be "There is a way of cropping a circle that gives this image vs. there isn't."

Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely an image of a circle, but they fit left because nothing indicates that they are not an image of a circle. A more pedantic solution to this Bongard Problem would be "Could be a cropped image of a circle vs. is definitely not" or "There is a way of cropping a circle that gives this image vs. there isn't."

See also the keyword @seemslike, where neither side can be confirmed.

Either "left-couldbe" or "right-couldbe" implies @notso.

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to @left-unknowable and @right-unknowable, they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.

"Left-couldbe" is usually @left-narrow and "right-couldbe" usually @right-narrow.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "left-couldbe" BPs sound like "Could be a __vs. definitely not a__" (and vice versa for "right-couldbe" BPs.)

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords @left-narrow and @right-narrow), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "left-couldbe" BPs sound like "Could be a __vs. definitely not a__" (and vice versa for "right-couldbe" BPs.)

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords @left-narrow and @right-narrow), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.

See also the keyword @seemslike, where neither side can be confirmed.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords @left-narrow" and @right-narrow), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.

Either "left-couldbe" or "right-couldbe" implies @notso.

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to @left-unknowable and @right-unknowable, they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.

"Left-couldbe" is usually @left-narrow and "right-couldbe" usually @right-narrow.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords "left-narrow" left-BP513 and "right-narrow" left-BP514), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords "left-narrow" left-BP513 and "right-narrow" left-BP514), and all images are in the image (under projection) of the collection of objects not satisfying property X.

Either "left-couldbe" or "right-couldbe" implies "notso" (left-BP867).

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.

"Left-couldbe" is usually paired with "left-narrow" (left-BP513) and "right-couldbe" is usually paired with "right-narrow" (left-BP514).

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are each mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that some objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that some objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X. A left-couldbe BP's solution is of this form: "preimage under projection contains an object satisfying property X vs. the preimage is disjoint from property X".

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that some objects satisfying the property are mapped to the same picture as objects not satisfying the property. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying the property. A left-couldbe BP's solution is of this form: "preimage under projection contains an object satisfying the property vs. the preimage is disjoint from the property".

Either "left-couldbe" or "right-couldbe" implies "notso" (left-BP867).

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.

Either "left-couldbe" or "right-couldbe" implies "notso" (left-BP867).

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are not the same. It is the difference between a clear absence of information and uncertainty about whether there is more information to be found.

Either "left-couldbe" or "right-couldbe" implies "notso" (left-BP867).

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are not the same.

Either "left-couldbe" or "right-couldbe" implies "notso" (left-BP867).

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are different.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that some objects satisfying the desired property are mapped to the same picture as objects not satisfying the desired property. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying the desired property. A left-couldbe BP's solution is of this form: "preimage under projection contains an object satisfying the desired property vs. the preimage is disjoint from the desired property".

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that some objects satisfying the desired property are mapped to the same picture as objects not satisfying the desired property. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying the desired property. A left-couldbe BP's solution is of this form: preimage under projection contains an object satisfying the desired property vs. the preimage is disjoint from the desired property.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a non-injective "projection" function from objects to pictures, such that some objects satisfying the desired property are mapped to the same picture as objects not satisfying the desired property. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying the desired property. A left-couldbe BP's solution is of this form: preimage under projection contains an object satisfying the desired property vs. the preimage is disjoint from the desired property.

Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.

Right-sorted Bongard Problems have the keyword "right-couldbe".

Solutions to left-couldbe BPs sound like "Could be a __vs. definitely not a__" (and vice versa for right-couldbe BPs.)

In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed.

To put it in mathematical jargon, there is a non-injective "projection" function from objects to pictures, such that objects satisfying the desired property are sometimes mapped to the same picture as objects not satisfying the desired property. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying the desired property. A left-couldbe BP's solution is of this form: preimage under projection contains an object satisfying the desired property vs. the preimage is disjoint from the desired property.

Either "left-couldbe" or "right-couldbe" implies "notso" (left-BP867).

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are quite different.