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Search: +ex:BP173
Displaying 1-8 of 8 results found.     page 1
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BP503 "Nice" Bongard Problems vs. Bongard Problems the OEBP does not need more like.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP11
BP12
BP15
BP16
BP20
BP23
BP30
BP32
BP33
BP50
BP51
BP57
BP59
BP62
BP70
BP71
BP72
BP74
BP76
BP77
BP85
BP97
BP98
BP100
BP106
BP108

. . .

BP213
BP214
BP221
BP231
BP237
BP262
BP538
BP545
BP548
BP555
BP570
BP801
BP862
BP882
BP915
BP920
BP941
BP1000
BP1008
BP1042
BP1043
BP1129
BP1150
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Bongard Problems have the keyword "nice" on the OEBP.

Right-sorted Bongard Problems have the keyword "less." They are not necessarily "bad," but we do not want more like them.

CROSSREFS

Adjacent-numbered pages:
BP498 BP499 BP500 BP501 BP502  *  BP504 BP505 BP506 BP507 BP508

KEYWORD

subjective, meta (see left/right), links, keyword, oebp, right-finite, left-it, feedback, time

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP507 Bongard Problems about comparison of quantity vs. other Bongard Problems.
BP2
BP11
BP12
BP28
BP29
BP34
BP36
BP37
BP38
BP53
BP62
BP65
BP67
BP79
BP173
BP176
BP196
BP211
BP292
BP338
BP501
BP565
BP869
BP882
BP915
BP971
BP972
BP978
BP1044
BP1046
BP1208
BP1
?
BP6
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left have the keyword "spectrum" on the OEBP.


In a "spectrum" Bongard Problem, there is an evident way to assign each object a value (e.g. "size" or "number of holes"). Then, to determine whether an object fits left or right in the Bongard Problem, its value is compared with a fixed threshold value.


Spectra can be continuous or discrete.


A "spectrum" Bongard Problem is usually arbitrary, since there could be made many different versions of it with different choices of threshold value. However, sometimes a certain choice of threshold is particularly natural. For example, the threshold of 90 degrees in "acute vs. obtuse angles" does not come across as arbitrary. And in BP2, the spectrum of values ("size") is vague, so much that the fuzzy threshold, of about half the size of the bounding box, does not seem arbitrary.


A spectrum Bongard Problem may or may not have the following properties:

1) The values assigned to objects are precise.

2) The threshold value between the two sides is precise.

3) The threshold value is itself sorted on one of the two sides.

Each of the latter two typically only makes sense when the condition before it is true.


If a spectrum Bongard Problem obeys 1) and 2), then it will usually be precise.

For example:

"Angles less than 90° vs. angles greater than 90°" is "precise".


If a spectrum Bongard Problem obeys 1), 2), and 3), then it will usually be allsorted.

For example:

"Angles less than or equal to 90° vs. angles greater than 90°" is "allsorted".


Discrete spectra usually satisfy 1) but do not satisfy 2). In a discrete spectrum Bongard Problem, there isn't one unambiguous threshold value. Consider "2 or fewer holes vs. 3 or more holes". (Is the threshold 2? 3? 2.5?)


In an especially extreme kind of spectrum Bongard Problem, one side represents just a single value, just the threshold value. For example, "right angles vs. obtuse angles." In certain cases like this the threshold is an extreme value at the very boundary of the spectrum of possible values. For example, consider "no holes vs. one or more holes." Cases like this might not even be understood as two sides of a spectrum, but rather the absence versus presence of a property. (See the keyword notso.)


Even more extreme, in some Bongard Problems, each of the sides is a single value on a spectrum. For example, BP6 is "3 sides vs. 4 sides". We have not been labeling Bongard Problems like this with the keyword "spectrum".


After all, any Bongard Problem can be re-interpreted as a spectrum Bongard Problem, where the spectrum ranges from the extreme fitting left to the extreme of fitting right.

REFERENCE

https://en.wikipedia.org/wiki/Total_order

CROSSREFS

See BP874 for the version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.

Adjacent-numbered pages:
BP502 BP503 BP504 BP505 BP506  *  BP508 BP509 BP510 BP511 BP512

KEYWORD

notso, meta (see left/right), links, keyword, sideless

WORLD

bp [smaller | same | bigger]
zoom in left (spectrum_bp)

AUTHOR

Aaron David Fairbanks

BP588 Bongard Problem with solution relating to concept: all / not all vs. Bongard Problem unrelated to this concept.
BP14
BP22
BP39
BP56
BP78
BP92
BP108
BP120
BP133
BP134
BP161
BP173
BP177
BP189
BP190
BP208
BP219
BP244
BP260
BP296
BP336
BP368
BP376
BP388
BP536
BP560
BP924
BP932
BP1138
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP583 BP584 BP585 BP586 BP587  *  BP589 BP590 BP591 BP592 BP593

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "all"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP678 Bongard Problem with solution relating to concept: pattern / randomness vs. Bongard Problem unrelated to this concept.
BP173
BP359
BP360
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP673 BP674 BP675 BP676 BP677  *  BP679 BP680 BP681 BP682 BP683

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "pattern_or_random"
Searchable synonyms: "entropy", "order", "disorder".

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP701 Bongard Problem with solution relating to concept: slope of straight line vs. Bongard Problem unrelated to this concept.
BP7
BP13
BP35
BP39
BP106
BP158
BP173
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP696 BP697 BP698 BP699 BP700  *  BP702 BP703 BP704 BP705 BP706

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "line_slope"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP715 Bongard Problem with solution relating to concept: variance (statistical notion) vs. Bongard Problem unrelated to this concept.
BP173
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP710 BP711 BP712 BP713 BP714  *  BP716 BP717 BP718 BP719 BP720

KEYWORD

meta (see left/right), links, metaconcept, primitive

CONCEPT This MBP is about BPs that feature concept: "statistical_variance"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP757 Bongard Problem with solution relating to concept: similarity (but not equality) vs. Bongard Problem unrelated to this concept.
BP39
BP59
BP60
BP65
BP123
BP139
BP145
BP173
BP188
BP205
BP248
BP249
BP282
BP320
BP338
BP377
BP1002
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP752 BP753 BP754 BP755 BP756  *  BP758 BP759 BP760 BP761 BP762

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "similar"

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

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
(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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