The On-Line Encyclopedia of Bongard Problems

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Bongard Problems that would sort this Bongard Problem left vs. Bongard Problems that would sort this Bongard Problem right.

BP503	BP510	BP518	BP539	BP541	BP542
BP544	BP547	BP550	BP687	BP691	BP794
BP1000	BP1074	BP1242

BP509

BP519

BP895

BP902

BP1150

?
BP517

?
BP950

?
BP1073

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	COMMENTS	`This is the "it" Problem.` `Left-sorted Bongard Problems have the keyword "left-it" on the OEBP.` `Right-sorted Bongard Problems have the keyword "right-it" on the OEBP.`
	CROSSREFS	`Left-it or right-it implies feedback.` `Adjacent-numbered pages: BP1068 BP1069 BP1070 BP1071 BP1072 * BP1074 BP1075 BP1076 BP1077 BP1078`
	KEYWORD	`nice, meta (see left/right), links, keyword, side, metameta, feedback, time, experimental, funny, testexample, presentationinvariant`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1074

Meta Bongard Problem in a chain of Problems containing other Problems that eventually loops back to itself vs. this cannot happen.

BP503	BP509	BP510	BP517	BP518	BP519
BP537	BP539	BP541	BP542	BP544	BP546
BP547	BP687	BP691	BP794	BP1000	BP1007
BP1073	BP1074

BP947

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	COMMENTS	`Left examples have the keyword "feedback" on the OEBP.`
	CROSSREFS	`"Feedback" implies not wellfounded.` `Left-it" or right-it implies "feedback".` `Adjacent-numbered pages: BP1069 BP1070 BP1071 BP1072 BP1073 * BP1075 BP1076 BP1077 BP1078 BP1079`
	KEYWORD	`arbitrary, meta (see left/right), links, keyword, left-self, metameta, left-it, feedback, experimental`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1075

Bongard Problem is the beginning of a chain of meta Bongard Problems containing meta Bongard Problems on the left side that eventually ends in BP1 vs. not so.

BP1

BP1075

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	COMMENTS	`This is an example of a meta Bongard Problem that sorts itself left, and would still sort itself left after the sides in the title were switched.` `That is, this BP is tagged the keyword left-self and so would its flipped version be.`
	CROSSREFS	`See also the keyword feedback for chains of meta Bongard Problems that eventually form loops.` `Adjacent-numbered pages: BP1070 BP1071 BP1072 BP1073 BP1074 * BP1076 BP1077 BP1078 BP1079 BP1080`
	KEYWORD	`notso, arbitrary, meta (see left/right), links, left-self, experimental`
	CONCEPT	`recursion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1076

Meta Bongard Problems sorting BP1 left vs. meta Bongard Problems sorting BP1 right.

BP501	BP503	BP508	BP509	BP513	BP515
BP541	BP542	BP544	BP546	BP567	BP573
BP627	BP634	BP798	BP883	BP913	BP947
BP1075

	BP504	BP507	BP510	BP522	BP537	BP902
	BP963	BP1113

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1071 BP1072 BP1073 BP1074 BP1075 * BP1077 BP1078 BP1079 BP1080 BP1081`
	KEYWORD	`meta (see left/right), links, metameta, testexample`
	WORLD	`linksbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1077

All regions have the same number of boxes vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1072 BP1073 BP1074 BP1075 BP1076 * BP1078 BP1079 BP1080 BP1081 BP1082`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1078

Bongard Problem with solution relating to concept: semidecidable vs. Bongard Problem unrelated to this concept.

BP1079

BP1081

BP1124

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	CROSSREFS	`Adjacent-numbered pages: BP1073 BP1074 BP1075 BP1076 BP1077 * BP1079 BP1080 BP1081 BP1082 BP1083`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "semidecidable"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1079

A left example can be verified to fit left by checking only finitely many layers deep vs. not so.

BP1058^↔	BP1060^↔	BP1061^↔	BP1062^↔	BP1063^↔	BP1065^↔
BP1068^↔	BP1077^↔	BP1058	BP1059	BP1061	BP1066
BP1070

BP1059^↔	BP1066^↔	BP1067^↔	BP1069^↔	BP1070^↔	BP1071^↔
BP1060	BP1062	BP1063	BP1065	BP1067	BP1068
BP1069	BP1071	BP1077

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1074 BP1075 BP1076 BP1077 BP1078 * BP1080 BP1081 BP1082 BP1083 BP1084`
	KEYWORD	`meta (see left/right), links, side, wellfounded`
	CONCEPT	`semidecidable (info \| search),` `finite_infinite (info \| search)`
	WORLD	`recursive_boxes_bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1080

Image of a Bongard Problem vs. other image.

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	COMMENTS	`Various formats of Bongard Problems frequently seen on the OEBP are showcased on the left side here.`
	CROSSREFS	`See BP968, which distinguishes solvable Bongard Problems from other images still formatted like Bongard Problems (as opposed to this page, which distinguishes Bongard Problems from any other images.)` `Adjacent-numbered pages: BP1075 BP1076 BP1077 BP1078 BP1079 * BP1081 BP1082 BP1083 BP1084 BP1085`
	KEYWORD	`notso, teach, left-narrow, right-null`
	CONCEPT	`bongard_problem (info \| search),` `categorization (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1081

Left is an open subset of the rational numbers vs. not so.

	BP1047^↔	BP1048^↔	BP1050^↔	BP1053^↔	BP1044	BP1045
	BP1046	BP1052

	BP1044^↔	BP1045^↔	BP1046^↔	BP1051^↔	BP1052^↔	BP1054^↔
	BP1047	BP1048	BP1050	BP1051	BP1053	BP1054

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1076 BP1077 BP1078 BP1079 BP1080 * BP1082 BP1083 BP1084 BP1085 BP1086`
	KEYWORD	`meta (see left/right), links, side, wellfounded`
	CONCEPT	`semidecidable (info \| search),` `finite_infinite (info \| search)`
	WORLD	`outline_or_fill_circle_bp_clear_set_of_ratios [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1082

Shapes are congruent if (and only if) they are enclosed in the same space vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1077 BP1078 BP1079 BP1080 BP1081 * BP1083 BP1084 BP1085 BP1086 BP1087`
	KEYWORD	`stub, precise, allsorted`
	CONCEPT	`iff (info \| search)`
	AUTHOR	`Leo Crabbe`

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