Left Bongard Problems do not have to sort all relevant examples; if they would leave some border cases unsorted, it just has to be clear precisely which examples those would be.

Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.

See BP508 for the version with links to pages on the OEBP instead of images of Bongard Problems.

Left examples do not have to sort all relevant examples; it just has to be clear which examples they do sort and how.

Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.

Left examples do not have to sort all relevant examples; it just has to be clear which examples they do sort and where.

Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.

Left examples do not have to sort all relevant examples; it just has to be clear which examples they do sort and where.

Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold..

See BP508 for the fully meta version.

Precise sorting of potential examples vs. not so.

Left examples do not have to sort all relevant examples; it just has to be clear which examples they do sort and where.

Aaron David Fairbanks

Bongard Problems with world graph with line crossings allowed, using hollow dots with straight line segments connecting them, vs. other Bongard Problems

See BP874 for version with crossings disallowed.

Aaron David Fairbanks