The On-Line Encyclopedia of Bongard Problems

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Search: +ex:BP319

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Bongard Problems that require mathematical understanding to solve vs. other Bongard Problems.

	BP171	BP203	BP319	BP326	BP327	BP333
	BP334	BP335	BP339	BP340	BP341	BP344
	BP369	BP370	BP378	BP380	BP381	BP382
	BP384	BP505	BP560	BP562	BP563	BP569
	BP576	BP788	BP790	BP791	BP797	BP801
	BP806	BP809	BP810	BP811	BP813	. . .

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

	COMMENTS	`Left examples have the keyword "math" on the OEBP.` `Although everything is arguably related to math, these BP solutions include content that people don't inherently understand without learning at least some mathematics.` `Left examples do not technically have "culturally-dependent" content (keyword culture), but knowledge and previous learning plays a role in how easy they are to solve.`
	CROSSREFS	`Adjacent-numbered pages: BP566 BP567 BP568 BP569 BP570 * BP572 BP573 BP574 BP575 BP576`
	KEYWORD	`fuzzy, meta (see left/right), links, keyword`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Bongard Problem with solution relating to concept: multiple (arithmetic) vs. Bongard Problem unrelated to this concept.

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

	CROSSREFS	`Adjacent-numbered pages: BP665 BP666 BP667 BP668 BP669 * BP671 BP672 BP673 BP674 BP675`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "multiple_of"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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	. . .

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

	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`

Bongard Problem with solution relating to concept: point (dot, no discernible shape) vs. Bongard Problem unrelated to this concept.

	BP166	BP167	BP230	BP317	BP318	BP319
	BP925	BP926	BP931	BP1015

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

	CROSSREFS	`Adjacent-numbered pages: BP674 BP675 BP676 BP677 BP678 * BP680 BP681 BP682 BP683 BP684`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "dot"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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

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

	CROSSREFS	`Adjacent-numbered pages: BP676 BP677 BP678 BP679 BP680 * BP682 BP683 BP684 BP685 BP686`
	KEYWORD	`meta (see left/right), links, metaconcept, primitive`
	CONCEPT	`This MBP is about BPs that feature concept: "proportional"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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

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

	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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