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Revision history for BP1159

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BP1159 on 2023-06-17 09:53:16 by Aaron David Fairbanks                approved
CROSSREFS

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.

BP1159 on 2023-06-17 09:53:01 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2023-06-17 09:52:31 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2023-06-17 09:29:11 by Aaron David Fairbanks                approved
+DATA

  

BP1159 on 2022-12-29 22:00:24 by Aaron David Fairbanks                approved
COMMENTS

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.

CROSSREFS

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.

BP1159 on 2022-12-25 20:11:05 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2022-12-25 20:10:36 by Aaron David Fairbanks                approved
COMMENTS

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.

CROSSREFS

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).

BP1159 on 2022-12-25 19:50:19 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2022-12-25 19:49:49 by Aaron David Fairbanks                approved
COMMENTS

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.

REMOVE

  

BP1159 on 2022-12-25 19:28:54 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2022-12-25 19:28:07 by Aaron David Fairbanks                approved
COMMENTS

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".

BP1159 on 2022-12-25 19:26:41 by Aaron David Fairbanks                approved
COMMENTS

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".

BP1159 on 2022-04-20 04:22:18 by Aaron David Fairbanks                approved
REMOVE

  

BP1159 on 2022-04-20 04:20:04 by Aaron David Fairbanks                approved
CROSSREFS

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.

BP1159 on 2022-04-20 04:18:49 by Aaron David Fairbanks                approved
CROSSREFS

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.

BP1159 on 2022-04-20 04:18:04 by Aaron David Fairbanks                approved
CROSSREFS

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.

BP1159 on 2022-04-20 04:17:37 by Aaron David Fairbanks                approved
CROSSREFS

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.

BP1159 on 2022-04-20 04:16:57 by Aaron David Fairbanks                approved
COMMENTS

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".

BP1159 on 2022-04-12 03:53:43 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2022-04-12 03:52:49 by Aaron David Fairbanks                approved
COMMENTS

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.

BP1159 on 2022-04-12 03:51:04 by Aaron David Fairbanks                approved
COMMENTS

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.

CROSSREFS

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.

BP1159 on 2021-12-20 20:54:46 by Leo Crabbe                approved
REMOVE

  

BP1159 on 2021-12-20 20:54:30 by Leo Crabbe                approved
-DATA

  

+DATA

  


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