Revision history for BP509
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Displaying 226-250 of 268 results found.
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
The solution of a "whole" Problem can be phrased as "___ vs. not so" (see left-BP867), but perhaps this is not the most intuitive way to phrase the solution. Not all "___ vs. not so" Problems are whole; some may include ambiguous border cases.
What is considered a "relevant" example depends on the "world" of the Problem. "Whole" Problems sort all possible examples within the world, which is the intuitively parsed pattern all examples in the entire Problem share. Sometimes there is more than one interpretation of what the most obvious world of a Problem is.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares. (See BP913 for related discussion.)
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Arguably ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations is itself an ambiguity. It is arguable the fact that it is arguable whether these cases are ambiguous makes them ambiguous; perhaps this means these cases should be unambiguously sorted as right examples within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem.
A specific class of BPs ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
What is considered a "relevant" example depends on the "world" of the Problem. "Whole" Problems sort all possible examples within the world, which is the intuitively parsed pattern all examples in the entire Problem share. Sometimes there is more than one interpretation of what the most obvious world of a Problem is.
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares. (See BP913 for related discussion.)
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Arguably ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations is itself an ambiguity. It is arguable the fact that it is arguable whether these cases are ambiguous makes them ambiguous; perhaps this means these cases should be unambiguously sorted as right examples within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem.
A specific class of BPs ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. |
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CROSSREFS
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See BP875 for the semi-meta version.
Whole implies exact (left-BP508). |
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares. (See BP913 for related discussion.)
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Arguably ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations is itself an ambiguity. It is arguable the fact that it is arguable whether these cases are ambiguous makes them ambiguous; perhaps this means these cases should be unambiguously sorted as right examples within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem.
A specific class of BPs ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. |
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EXAMPLE
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NAME
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Bongard Problems that sort all relevant examples vs. Bongard Problems that would ambiguously sort some.
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COMMENTS
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Arguably ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations is itself an ambiguity. It is arguable the fact that it is arguable whether these cases are ambiguous makes them ambiguous; perhaps this means these cases should be unambiguously sorted as right examples within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem.
A specific class of BPs ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole."
Arguably also ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations is itself an ambiguity. It is arguable the fact that it is arguable whether these cases are ambiguous makes them ambiguous; perhaps this means these cases should be unambiguously sorted as right examples within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole."
Arguably also ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations is itself an ambiguity. It is arguable the fact that it is arguable whether these cases are ambiguous makes them ambiguous; perhaps this means these cases should be unambiguously sorted within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here (arguably) are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole."
Arguably also ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations leads to ambiguity. It is arguable the fact that it is arguable whether they are ambiguous makes them ambiguous; perhaps this means these cases are unambiguous within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole."
Arguably also ambiguously sorted are Problems with multiple interpretations of solution; however, multiple interpretations leads to ambiguity. It is arguable the fact that it is arguable whether they are ambiguous makes them ambiguous; perhaps this means these cases are unambiguous within this Problem. But it is arguable that since this point is arguable they are ambiguously sorted within this Problem. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole."
Also ambiguously sorted are Problems with multiple interpretations of solution. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole."
Also ambiguously sorted are Problems with definitions that are too unclear. |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here.
Ambiguously sorted here are Problems about mathematics in which all examples are assigned a true or false value and sorted based on it, but some sortings of examples are unprovable. So, this Problem is not "whole." |
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EXAMPLE
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COMMENTS
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Left examples have the keyword "whole" on the OEBP.
"Whole" Problems tend to be of the form "___ vs. not so" (left-BP867).
Not all "___ vs. not so" Problems are whole, however; some may include ambiguous border cases.
For Bongard Problems based on images we assume the pure intented geometry represented by the image is magically understood by us before we sort. The case of a "poorly drawn square" is not here considered an ambiguous case for BP6 triangles vs. squares.
However, for Bongard Problems specifically about approximation, e.g. BP10 approximately triangular outline vs. approximately convex quadrilateral outline, even in the pure geometry there is a spectrum of how closely a shape approximates a quadrilateral; there are ambiguous cases here. |
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EXAMPLE
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CROSSREFS
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Whole implies exact (left-BP508). |
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