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 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 this function) 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 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 this function) of the collection of objects satisfying the desired property. A left-couldbe BP's solution is of this form: preimage of picture 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 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 this function of the objects satisfying the desired property. A left-couldbe BP's solution is of this form: preimage of picture 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 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 this function of the objects satisfying the desired property. The solution to the Bongard Problem: preimage of picture 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 function from objects to pictures, such that objects satisfying the desired property may be mapped to the same picture as objects not satisfying the desired property. Sorted on the "couldbe" side is the image under this function of the objects satisfying the desired property. The solution to the Bongard Problem: preimage of picture 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. An "unknowable" keyword means on that side it is never clear whether hidden information is still to be found by searching. A "couldbe" keyword means some relevant information is always explicitly left out. So unlike left- and right- unknowable BPs, left- and right- couldbe BPs can sort their examples unambiguously--for any example sorted on the "could be" side, you know you will never find information that convinces you to sort the example on the other side--that information is plainly absent.

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. An "unknowable" keywords means on that side it is never clear whether hidden information is still to be found by searching. A "couldbe" keyword means some relevant information is always explicitly left out. So unlike left- and right- unknowable BPs, left- and right- couldbe BPs can sort their examples unambiguously--for any example sorted on the "could be" side, you know you will never find information that convinces you to sort the example on the other side--that information is plainly absent.

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. The "unknowable" keywords mean on that side it is never clear whether or not there is hidden information still to be found by searching. The "couldbe" keywords mean some relevant information is explicitly left out. So left- and right- couldbe BPs can sort their examples unambiguously--for any example sorted on the obscured side, you know you will never find information that convinces you to sort the example on the other side--that information is plainly left out.

Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely a cropped image of a circle, but they fit left because nothing indicates that they are not a cropped 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."

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.)

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

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

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

Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are quite different. The "unknowable" keywords mean on that side it is never clear whether or not there is hidden information still to be found by searching. The "couldbe" keywords mean some relevant information is explicitly left out. So left- and right- couldbe BPs can sort their examples unambiguously--for any example sorted on the obscured side, you know you will never find information that convinces you to sort the example on the other side--that information is plainly left out.

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

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

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

Although the descriptions of "left-obscured" and "right-obscured" sound similar to "left-unknowable" and "right-unknowable" (BP1124), they are quite different. The "unknowable" keywords mean on that side it is never clear whether or not there is hidden information still to be found by searching. The "obscured" keywords mean some relevant information is explicitly left out. So left- and right- obscured BPs can sort their examples unambiguously--for any example sorted on the obscured side, you know you will never find information that convinces you to sort the example on the other side--that information is plainly left out.

Many Bongard Problems show examples that don't show some information

More often than not, precise versions of the solutions to left-sorted problems would start with "Could be", and precise versions of the solutions to right-sorted problems would start with "Definitely".

Although the description sounds similar to BP1124, it is quite different. There, it is not clear whether or not there is information in a panel still to be found by searching. Here, it is instead clear what information a panel explicitly leaves out. roblems that are sorted by this BP can sort their examples unambiguously--you can know for sure you will never find information that convinces you to sort the example on the other side.

Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely a cropped image of a circle, but they fit left because nothing indicates that they are not. 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."

More often than not, precise versions of the solutions to left-sorted problems would start with "Could be", and precise versions of the solutions to right-sorted problems would start with "Definitely".

None of the left-hand examples in BP525 "Cropped image of a circle vs. not so" are definitely a cropped image of a circle, but they fit left because nothing indicates that they are not. 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."

Although the description sounds similar to (a flipped version of) BP1124, it is quite different; problems that are sorted by this BP can sort their examples unambiguously.

Although this property initially sounds similar to (a flipped version of) the one described in BP1124, it is quite different; problems that are sorted by this BP can sort their examples unambiguously. More often than not, precise versions of the solutions to left-sorted problems would start with "Could be", and precise versions of the solutions to right-sorted problems would start with "Definitely".

Bongard Problems where examples are only sorted left if nothing indicates that they would be sorted right vs. vice-versa.

Although this property initially sounds similar to (a flipped version of) the one described in BP1124, it is quite different; problems that are sorted by this BP usually sort their examples unambiguously. More often than not, precise versions of the solutions to left-sorted problems would start with "Could be", and precise versions of the solutions to right-sorted problems would start with "Definitely".

Almost none of the left-hand examples in BP525 are "definitely" a cropped picture of a circle, but they fit left because nothing indicates that they couldn't be. A fully accurate solution to this Problem would be "Could be some zoomed-in image of a circle vs. definitely not so".

Leo Crabbe