The On-Line Encyclopedia of Bongard Problems

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Bongard Problem with solution relating to concept: number (countable quantity of feature or object) vs. Bongard Problem unrelated to this concept.

BP6	BP10	BP23	BP27	BP28	BP29
BP53	BP85	BP86	BP87	BP88	BP89
BP90	BP91	BP96	BP98	BP107	BP110
BP114	BP122	BP126	BP127	BP141	BP143
BP144	BP145	BP151	BP156	BP159	BP160
BP164	BP166	BP167	BP169	BP181	. . .

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	CROSSREFS	`Adjacent-numbered pages: BP667 BP668 BP669 BP670 BP671 * BP673 BP674 BP675 BP676 BP677`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "number"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP724

Bongard Problem with solution relating to concept: 3-d solid vs. Bongard Problem unrelated to this concept.

	BP250	BP251	BP331	BP370	BP371	BP900
	BP993	BP994

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	CROSSREFS	`Adjacent-numbered pages: BP719 BP720 BP721 BP722 BP723 * BP725 BP726 BP727 BP728 BP729`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "3d_solid"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP738

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

BP52	BP78	BP102	BP104	BP117	BP133
BP134	BP161	BP162	BP178	BP183	BP184
BP249	BP250	BP257	BP287	BP310	BP312
BP368	BP990

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	CROSSREFS	`Adjacent-numbered pages: BP733 BP734 BP735 BP736 BP737 * BP739 BP740 BP741 BP742 BP743`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "imagined_point"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP739

Bongard Problem with solution relating to concept: imaginary line or curve vs. Bongard Problem unrelated to this concept.

BP64	BP73	BP74	BP78	BP81	BP103
BP106	BP112	BP117	BP131	BP154	BP162
BP163	BP183	BP199	BP235	BP238	BP239
BP240	BP245	BP250	BP257	BP261	BP273
BP275	BP280	BP287	BP292	BP312	BP342
BP358	BP368	BP383	BP388	BP394	. . .

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	CROSSREFS	`Adjacent-numbered pages: BP734 BP735 BP736 BP737 BP738 * BP740 BP741 BP742 BP743 BP744`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "imagined_line_or_curve"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP741

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

BP52	BP64	BP73	BP74	BP78	BP81
BP96	BP97	BP101	BP102	BP103	BP104
BP106	BP112	BP117	BP131	BP133	BP134
BP138	BP154	BP161	BP162	BP163	BP178
BP183	BP184	BP193	BP194	BP199	BP235
BP238	BP239	BP240	BP245	BP249	. . .

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	CROSSREFS	`Adjacent-numbered pages: BP736 BP737 BP738 BP739 BP740 * BP742 BP743 BP744 BP745 BP746`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "imagined_entity"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP1112

"Stretch-dependent" Bongard Problems vs. Bongard Problems in which examples can be stretched (or compressed) along any axis without being sorted differently.

BP7	BP11	BP12	BP13	BP33	BP50
BP62	BP76	BP77	BP80	BP103	BP152
BP250	BP289	BP328	BP329	BP333	BP335
BP336	BP523	BP525	BP536	BP557	BP559
BP812	BP813	BP816	BP860	BP920	BP924
BP942	BP949	BP1011	BP1086	BP1133	. . .

BP1	BP5	BP15	BP31	BP45	BP98
BP157	BP240	BP322	BP327	BP330	BP331
BP332	BP348	BP363	BP367	BP368	BP369
BP389	BP809	BP810	BP851	BP853	BP911
BP966	BP977	BP992	BP1022	BP1094	BP1131
BP1135	BP1136

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "stretch" on the OEBP.` `If applying a scaling along one particular axis to the whole of any example can change its sorting the BP fits on the left side here. (For BPs with bounding boxes this means scaling and cropping, but without cutting out any detail.)`
	CROSSREFS	`Adjacent-numbered pages: BP1107 BP1108 BP1109 BP1110 BP1111 * BP1113 BP1114 BP1115 BP1116 BP1117`
	KEYWORD	`meta (see left/right), links, keyword, invariance`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1159

Bongard Problems where examples are only sorted left if nothing indicates that they would be sorted right vs. vice-versa.

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "left-couldbe" on the OEBP.` `Right-sorted Bongard Problems have the keyword "right-couldbe".` `In a "couldbe" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "left-couldbe" BPs sound like "Could be a ___ vs. definitely not a ___" (and vice versa for "right-couldbe" BPs.)` `To put it in mathematical jargon, there is a "projection" function from objects to pictures, such that objects satisfying property X are mapped to the same picture as objects not satisfying property X. Sorted on the "couldbe" side is the image (under projection) of the collection of objects satisfying property X.` `Furthermore, usually X is a relatively narrow criterion, so that most objects do not satisfy it (see keywords left-narrow and right-narrow), and all pictures are in the image (under projection) of the collection of objects not satisfying property X.`
	REFERENCE	`Consider BP525, "Cropped image of a circle vs. not so." None of the left-hand examples are definitely a cropped image of a circle, but they fit left because nothing indicates that they are not a cropped image of a circle. A more pedantic solution to this Bongard Problem would be "Could be a cropped image of a circle vs. is definitely not" or "There is a way of cropping a circle that gives this image vs. there isn't."`
	CROSSREFS	`See also the keyword seemslike, where neither side can be confirmed.` `Either "left-couldbe" or "right-couldbe" implies notso.` `Although the descriptions of "left-couldbe" and "right-couldbe" sound similar to left-unknowable and right-unknowable, they are not the same. It is the difference between a clear absence of information and perpetual uncertainty about whether there is more information to be found.` `"Left-couldbe" is usually left-narrow and "right-couldbe" usually right-narrow.` `Adjacent-numbered pages: BP1154 BP1155 BP1156 BP1157 BP1158 * BP1160 BP1161 BP1162 BP1163 BP1164`
	KEYWORD	`dual, meta (see left/right), links, keyword, side, viceversa`
	AUTHOR	`Leo Crabbe`

BP1194

Bongard Problems listed in Harry E. Foundalis's collection vs. not.

BP1	BP2	BP3	BP4	BP5	BP6
BP7	BP8	BP9	BP10	BP11	BP12
BP13	BP14	BP15	BP16	BP17	BP18
BP19	BP20	BP21	BP22	BP23	BP24
BP25	BP26	BP27	BP28	BP29	BP30
BP31	BP32	BP33	BP34	BP35	. . .

	BP501	BP503	BP504	BP505	BP506	BP507
	BP508	BP509	BP510	BP1194

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	COMMENTS	`Alternatively, BP pages on the OEBP with number less than or equal to 394 vs. other BP pages.`
	REFERENCE	`https://www.foundalis.com/res/bps/bpidx.htm`
	CROSSREFS	`Adjacent-numbered pages: BP1189 BP1190 BP1191 BP1192 BP1193 * BP1195 BP1196 BP1197 BP1198 BP1199`
	EXAMPLE	`Foundalis's collection includes all Bongard Problems by Bongard.`
	KEYWORD	`meta (see left/right), links, right-self, time`
	AUTHOR	`Aaron David Fairbanks`

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