2006/8/23, Neil Harris <neil(a)tonal.clara.co.uk>uk>:
The problem is different senses of
'subcategory': there's [1] "the set
of objects in B are a strict subset of the set of objects in A", which
is loop-proof, and [2] 'B is a topic that is usually discussed in the
context of A'
For example:
London -[2]-> Thames Valley -[1]-> London, comes to mind
Russia -[2]-> Soviet Union -[1]-> Russia, as well.
Also, another entirely reasonable cycle would be:
Universe -[contains]-> Human beings -[who have]-> Human thought -[which
includes]-> Philosophy -[which studies the]-> Universe
Doing a search of cycles, I found that there must be thousands if not
more of them on the English Wikipedia. Yours differ somewhat from the
average by being short. I chose a category more or less at random (it
was [[Category:Waves]]). It had 999 supercategories, and was part of 6
cycles (counting only elementary cycles):
Waves -> Sound -> Music -> Music events -> Music competitions ->
Eurovision Song Contest -> Eurovision host cities -> Rome -> History
of Rome -> Ancient Rome -> Ancient Roman religion -> Ancient Roman
Christianity -> Patristics -> Heresy -> Heretics -> People executed
for heresy -> Jesus -> Doctrines and teachings of Jesus -> Nonviolence
-> Peace -> Social justice -> Community organizing -> Protests ->
History of social movements -> Critical theory -> Cultural studies ->
Museology -> Anthropology -> Linguistics -> Proper nouns ->
Organizations -> Educational organizations -> Schools -> School
subjects -> Biology -> Tree of life -> Eukaryotes -> Animals ->
Chordates -> Tetrapods -> Synapsids -> Therapsids -> Theriodonts ->
Mammals -> Primates -> Apes -> Humans -> Technology -> Systems ->
Dynamical systems -> Waves
Waves -> Sound -> Music -> Music events -> Music competitions ->
Eurovision Song Contest -> Eurovision host cities -> Rome -> History
of Rome -> Ancient Rome -> Ancient Roman religion -> Ancient Roman
Christianity -> Patristics -> Heresy -> Heretics -> People executed
for heresy -> Jesus -> Doctrines and teachings of Jesus -> Nonviolence
-> Peace -> Social justice -> Community organizing -> Protests ->
History of social movements -> Critical theory -> Cultural studies ->
Museology -> Anthropology -> Linguistics -> Proper nouns ->
Organizations -> Educational organizations -> Schools -> School
subjects -> Biology -> Tree of life -> Eukaryotes -> Animals ->
Chordates -> Tetrapods -> Synapsids -> Therapsids -> Theriodonts ->
Mammals -> Primates -> Apes -> Humans -> Technology -> Applied
sciences -> Engineering -> Mechanics -> Dynamical systems -> Waves
Waves -> Sound -> Music -> Music events -> Music competitions ->
Eurovision Song Contest -> Eurovision host cities -> Rome -> History
of Rome -> Ancient Rome -> Ancient Roman religion -> Ancient Roman
Christianity -> Patristics -> Heresy -> Heretics -> People executed
for heresy -> Jesus -> Doctrines and teachings of Jesus -> Nonviolence
-> Peace -> Social justice -> Community organizing -> Protests ->
History of social movements -> Critical theory -> Cultural studies ->
Museology -> Anthropology -> Linguistics -> Proper nouns ->
Organizations -> Educational organizations -> Schools -> School
subjects -> Biology -> Tree of life -> Eukaryotes -> Animals ->
Chordates -> Tetrapods -> Synapsids -> Therapsids -> Theriodonts ->
Mammals -> Primates -> Apes -> Humans -> Technology -> Applied
sciences -> Education -> Education by subject -> Physics education ->
Introductory physics -> Waves
Waves -> Sound -> Music -> Music events -> Music competitions ->
Eurovision Song Contest -> Eurovision host cities -> Rome -> History
of Rome -> Ancient Rome -> Ancient Roman religion -> Ancient Roman
Christianity -> Patristics -> Heresy -> Heretics -> People executed
for heresy -> Jesus -> Doctrines and teachings of Jesus -> Nonviolence
-> Peace -> Social justice -> Community organizing -> Protests ->
History of social movements -> Critical theory -> Cultural studies ->
Museology -> Anthropology -> Linguistics -> Proper nouns ->
Organizations -> Educational organizations -> Schools -> School
subjects -> Biology -> Tree of life -> Eukaryotes -> Animals ->
Chordates -> Tetrapods -> Synapsids -> Therapsids -> Theriodonts ->
Mammals -> Primates -> Apes -> Humans -> Technology -> Applied
sciences -> Education -> Academia -> Academic disciplines ->
Mathematics -> Dynamical systems -> Waves
Waves -> Sound -> Music -> Music events -> Music competitions ->
Eurovision Song Contest -> Eurovision host cities -> Rome -> History
of Rome -> Ancient Rome -> Ancient Roman religion -> Ancient Roman
Christianity -> Patristics -> Heresy -> Heretics -> People executed
for heresy -> Jesus -> Doctrines and teachings of Jesus -> Nonviolence
-> Peace -> Social justice -> Community organizing -> Protests ->
History of social movements -> Critical theory -> Cultural studies ->
Museology -> Anthropology -> Linguistics -> Proper nouns ->
Organizations -> Educational organizations -> Schools -> School
subjects -> Biology -> Tree of life -> Eukaryotes -> Animals ->
Chordates -> Tetrapods -> Synapsids -> Therapsids -> Theriodonts ->
Mammals -> Primates -> Apes -> Humans -> Technology -> Applied
sciences -> Education -> Academia -> Academic disciplines ->
Mathematics -> Differential equations -> Waves
Waves -> Sound -> Music -> Music events -> Music competitions ->
Eurovision Song Contest -> Eurovision host cities -> Rome -> History
of Rome -> Ancient Rome -> Ancient Roman religion -> Ancient Roman
Christianity -> Patristics -> Heresy -> Heretics -> People executed
for heresy -> Jesus -> Doctrines and teachings of Jesus -> Nonviolence
-> Peace -> Social justice -> Community organizing -> Protests ->
History of social movements -> Critical theory -> Cultural studies ->
Museology -> Anthropology -> Linguistics -> Proper nouns ->
Organizations -> Educational organizations -> Schools -> School
subjects -> Biology -> Tree of life -> Eukaryotes -> Animals ->
Chordates -> Tetrapods -> Synapsids -> Therapsids -> Theriodonts ->
Mammals -> Primates -> Apes -> Humans -> Technology -> Applied
sciences -> Education -> Academia -> Academic disciplines ->
Mathematics -> Equations -> Differential equations -> Waves
Interestingly, checking out your examples, I found none of them (I
checked London, Russia and Universe, with 1060, 1013 and 1001
supercategories) is currently part of a loop.
For Jesus on the other hand, there are 39 different cycles, which
however all start with:
Jesus -> Doctrines and teachings of Jesus -> Nonviolence -> Peace ->
Social justice -> Community organizing -> Protests -> History of
social movements -> Critical theory -> Cultural studies
--
Andre Engels, andreengels(a)gmail.com
ICQ: 6260644 -- Skype: a_engels