See BP874 for the version with pictures of Bongard Problems instead of links to pages on the OEBP.

Bongard Problems about comparison on a spectrum vs. other Bongard Problems.

Bongard Problems sorted left have the keyword "spectrum" on the OEBP.

Many Bongard Problems are based on comparisons of quantities. It is possible to make a "greater-than-x vs. less-than-x" Bongard Problem for each value x given a spectrum of quantities. In the OEBP, we do not store all the different x values as separate BP idea pages. Instead, we have one page for the spectrum.

See BP874 for the semi-meta version.

BP pages about quantities.

This is the keyword "spectrum" on the OEBP.

Many Bongard Problems are based on comparisons of quantities. It is possible to make a "greater-than-x vs. less-than-x" Bongard Problem for each value x given a spectrum of quantities. In the OEBP, we do not store all the different x values as separate BP idea pages. Instead, we have one page for the spectrum.

Aaron David Fairbanks

Bongard Problems about comparison on a spectrum vs. other Bongard Problems.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

All Bongard Problems can be looked at as a spectrum comparison: the binary spectrum of which side the example fits on. Only include problems here if there is a more natural a spectrum comparison. Do not include binary spectra.

For a Bongard Problem like "non-wiggly outline vs. wiggly outline" (BP9), one could assign a "wiggliness" value to all the examples and sort them based on that. Once could even argue this is the most natural way to sort boxes in this Bongard Problem. Bongard Problems like this are borderline cases; there is usually a degree of ambiguity when deciding whether a Bongard Problem is most naturally interpreted with or without thinking about a spectrum.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

All Bongard Problems can be looked at as a spectrum comparison: the binary spectrum of which side the example fits on. Only include problems here if there is a more natural a spectrum comparison. Do not include binary spectra.

For a Bongard Problem like "non-wiggly outline vs. wiggly outline" (BP9), one could assign a "wiggliness" value to all the examples and sort them based on that. Once could even argue this is the most natural way to sort boxes in this Bongard Problem. Bongard Problems like this are borderline cases; there is often a degree of ambiguity whether a Bongard Problem is most naturally interpreted with or without thinking about a spectrum.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

All Bongard Problems can be looked at as a spectrum comparison: the binary spectrum of which side the example fits on. Only include problems here if there is a more natural a spectrum comparison. Do not include binary spectra.

For a Bongard Problem like "non-wiggly outline vs. wiggly outline" (BP9), one could assign a "wiggliness" value to all the examples and sort them based on that. Once could even argue this is the most natural way to sort boxes in this Bongard Problem. Examples of Bongard Problems like this are borderline cases; there is often a degree of ambiguity whether a Bongard Problem is most naturally interpreted with or without thinking about a spectrum.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

All Bongard Problems can be looked at as a spectrum comparison: the binary spectrum of which side the example fits on. Only include problems here if there is a more natural a spectrum comparison.

For a Bongard Problem like "wiggly outline vs. non-wiggly outline," one could assign a "wiggliness" value to all the examples and sort them based on that. Once could argue this is the most natural way to sort boxes. Examples of Bongard Problems like this are borderline cases; there is often a degree of ambiguity whether a Bongard Problem is most naturally interpreted with or without thinking about a spectrum.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

All Bongard Problems can be looked at as a spectrum comparison: the binary spectrum of which side the example fits on. Only include problems here if there is a more natural a spectrum comparison.

For a Bongard Problem like "wiggly outline vs. non-wiggly outline," one could assign a "wiggliness" value to all the boxes. Once could argue this is the most natural way to sort boxes. Examples of Bongard Problems like this are borderline cases; there is often a degree of ambiguity whether a Bongard Problem is most naturally interpreted with or without thinking about a spectrum.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

All Bongard Problems can be looked at as a spectrum comparison: the binary spectrum of which side the example fits on. Only include problems here if there is a more natural a spectrum comparison.

For a Bongard Problem like "wiggly outline vs. non-wiggly outline," one could assign a "wiggliness" value to all the boxes. Once could argue this is the most natural way to sort boxes. Examples of Bongard Problems like this are borderline cases; there is often a large degree of ambiguity whether a Bongard Problem is most naturally interpreted with or without thinking about a spectrum.

BP pages about comparison on a spectrum.

Left examples have the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages about a less-than vs. greater-than quantity comparison.

This is the keyword "spectrum" on the OEBP.

This keyword does not just mean "Bongard Problems that have to do with numbers." This is about BP pages that explicitly assign numbers to all examples.

It is possible to make a "greater-than-x vs. less-than-x" Bongard Problem for each value x given a spectrum of values. In the OEBP, we do not store ALL the different x values as separate BP idea pages. Instead, we have one page for the spectrum. Additionally, there may be separate BP pages for interesting specific values.