The On-Line Encyclopedia of Bongard Problems

Search: author:Aaron David Fairbanks

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BP1117

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

BP1108

BP1116

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	CROSSREFS	`Adjacent-numbered pages: BP1112 BP1113 BP1114 BP1115 BP1116 * BP1118 BP1119 BP1120 BP1121 BP1122`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "topological_density"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1111

Bongard Problem requires solver to already be interpreting all examples in a specific way for the answer to seem simple vs. not so.

BP200	BP361	BP362	BP793	BP795	BP796
BP802	BP803	BP827	BP828	BP829	BP831
BP832	BP833	BP834	BP835	BP836	BP852
BP871	BP872	BP873	BP874	BP875	BP876
BP877	BP878	BP879	BP880	BP881	BP894
BP955	BP957	BP968	BP987	BP1024	. . .

BP1

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "assumesfamiliarity" on the OEBP.` `Sometimes all the examples in a Bongard Problem need to be interpreted a certain way for the Bongard Problem to make sense. Only once the representation is understood, the idea seems simple.` `For example, all meta Bongard Problems (Bongard Problems sorting other Bongard Problems) assume the solver interprets the examples as Bongard Problems.` `TO DO: Maybe it is best to stop putting the label "assumesfamiliarity" on all meta-Bongard Problems. There are so many of them. It may be better to only use the "assumesfamiliarity" keyword on meta-BPs for a further assumption than just that all examples are interpreted as Bongard Problems. - Aaron David Fairbanks, Feb 11 2021`
	CROSSREFS	`Many Bongard Problems in which all examples take the same format (keyword structure) assume the solver already knows how to read that format.` `Some Bongard Problems assume the solver will be able to understand symbolism that is consistent between examples (keyword consistentsymbols).` `Bongard Problems tagged math often assume the solver is familiar with a certain representation of a math idea.` `Adjacent-numbered pages: BP1106 BP1107 BP1108 BP1109 BP1110 * BP1112 BP1113 BP1114 BP1115 BP1116`
	EXAMPLE	`BP1032: The solution should really read "Assuming all images are Bongard Problems sorting each natural number left or right ..." This Bongard Problem makes sense to someone who has been solving a series of similar BPs, but otherwise there is no reason to automatically read a collection of numbers as standing for a larger collection of numbers.`
	KEYWORD	`fuzzy, meta (see left/right), links, keyword`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1106

Bongard Problem with solution relating to concept: turning black regions white & white regions black vs. Bongard Problem unrelated to this concept.

BP556

BP948

BP1093

BP1107

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	CROSSREFS	`Adjacent-numbered pages: BP1101 BP1102 BP1103 BP1104 BP1105 * BP1107 BP1108 BP1109 BP1110 BP1111`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "black_white_inversion"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

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`

BP1078

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

BP1079

BP1081

BP1124

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

	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`

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

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	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`

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`

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`

BP1073

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

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

	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`

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