He aha ka makemakika? Kumu theorem o ka makemakika. aeaie makemakika

He aha ka makemakika? I ka manaʻo kanaka, hoomaka ae la e hana nui, a hana me ia? Where i kona mau aʻa o ka maʻamau o manaÿo e like nui, hapa iki, subtraction, hou a me ka multiplication, ua i ia kanaka i integral hapa o kona olaʻana a me ka Outlook? Greek manaʻo mahalo ia sciences me makemakika, makemakika a me ka anahonua, me he nani symphony o kanaka ke kūpili.

Paha makemakika mea,ʻaʻole like hohonu like me ka 'ē aʻe sciences, akā, mea e hiki mai iā ia, kanaka hoopoina i ka mea haʻahaʻa multiplication papa? Kama'āina iā mākou Logical noʻonoʻoloi, ka hoʻohana 'ana helu, hapa iki, a me nā mea hana, e haawi aku kanaka i ka paakiki manawa, a no ka lōʻihi manawa ua,ʻaʻole i loaʻa i ko kākou poʻe kūpuna. I ka mea, ma mua o ka hooulu ana o ka makemakika i wahi o kanaka ike i ole io no 'epekema.

Makemakika - Balanced o ka Hawaiʻi

Makemakika - ka 'epekema o nā huahelu, a me i kekahi kanaka hoʻomaka i ka' ike a me ke kupaianaha honua o ka makemakika. Ma ka olelo a M. V. Lomonosov, makemakika - keia mea ma ka puka o ke akamai, wehe i ke ala no mākou i Miropoznanie. Akā,ʻo ia ka pono, i hiki ke hoʻokaʻawaleʻia kaʻike o ke ao nei, mai ka ike o ka palapala a me ka nui, makemakika a me ka'ōleloʻana? Paha i loko o nā lā kahiko, akā,ʻaʻole i loko o ka o kēia au nei, ma ka kokololio kūpono 'ana o ka' epekema a me ka 'ike loea hou i kona mau kānāwai.

Ka hua'ōlelo "makemakika" (Gk. "Arifmos") o Helene me Kinohi, 'o ia hoʻi "helu". Ua huli aku i ka helu a me nā mea a pau i hiki e pili ana me ia. 'O kēia ke ao ana o ka huina: likeʻole ana ma luna nui, laulā rula, o ka hana i ka i pili i ka multiplication, subtraction, a no laila, ma luna o ..

Ua Ua nui oluolu i ke keʻehi mua o ka makemakika Balanced a me ka paa kumu no ka oi luna 'kona pauku, e like me ka hōʻailona helu, makemakika Ka Ikepili, kiekie makemakika a me ka' ole. D.

I ka papa kuhikuhiE kumu o ka makemakika

Ke kumu o ka makemakika - mea he helu, ka waiwai a me nā kānāwai a i noʻonoʻo i ka lani kiekie loa makemakika a me ka helu kumumanaʻo. Ma mea, pehea ua ia i ke kokoke loa i kahi pono ma ka noonoo ana o ia he uuku pa alima, me he maoli helu kalele iho ma ka ikaika o ka hale - makemakika.

No laila, ke nīnau i mea makemakika, ke pane mea puni hoʻi: ka mea, o ka 'epekema o ka helu. Ae, e pili ana i ka mau ehiku, eiwa, a me nā mea a pau o keia ka nohona kaiāulu. A e like me ka pono, a me ka loa mediocre Verses hiki ole palapala me ka walaʻauʻana Hawaiʻi, me ka makemakika hiki ole ke Wehewehe i nā hāʻina i walaʻauʻana hana. A no ke aha la i oi pono na sciences a pau ma hope o ka hooulu ana o ka makemakika a me ka makemakika wale, i kuhikuhi i ke kaʻina o nā mea mahuʻi.

Makemakika - 'epekema-uhane

He aha ka makemakika - maoli 'epekema a me ka phantom? I ka mea, e like me ka mea kahiko Greek poe akeakamai kamailio aku,ʻaʻohe nui,ʻaʻohe na kii ma ka ike maopopo hakuʻole. O ka pololei he phantom, a ua hana i loko o kanaka manao, i ka wa e nana ana i ke kaiapuni a me kona keʻano o ka hanaʻana. I mea, i mea ka helu? Wahi a puni mākou e i ike i kekahi mea e like mea hiki ke kapa i ka helu, e aho, ka helu - ia mea i ke ala, e makaikai i ke ao ana o ke kanaka naau. Paha keia like mākou i loko o lākou iho? Poe akeakamai hoʻopaʻapaʻa wale no keia no na kenekulia i loko o ka lalani, no laila, e hāʻawi aku i exhaustive ia mākou e e hana aku. Kekahi ala e, i ka makemakika hiki ai paa lawe i ko lakou wahi i loko o ke ao nei kēia ole i kekahi ke e noonoo socially hakuloli me ka ike ole o kona kumu.

E like me ka mea, ua he maikaʻi helu

O ka holo ana, i ka papa kuhikuhiE kumu o ka i hana makemakika, - ma kona ano maoli helu e like me 1, 2, 3, 4, ..., 152 ... etc. Makemakika o maoli helu o ka hopena o ka lilo o ke ano o mea, e like me na bipi wahine i loko o ka Meadow. Aka, i ka wehewehena o "ka puu" a "he uuku" ka wā i kekahi mea i oki ae e hoopaa kanaka, a me ka i, e invent hou Ka Uluwehi O Ke helu 'ana i kūpono.

Akā,ʻo maoli Hopu hele mai ka wā i ke kanaka manao ua hiki i ka wahi i hiki e kekahi, a me ka hookahi helu o ka "elua" e hoʻokohu 'ia a me ka 2 kg, a me 2 nā pōhaku lepo a me ka 2 māhele. Ka mea i ka mea i pono i Hōʻuluʻulu mai na ano, 'ano a me ka manaʻo o ka mea, a laila, ua hiki paka i kekahi hana i kēia mau mea i loko o ka palapala o ka maikaʻi integers. Pela i hanau i ka makemakika a huahelu, a ua hou ulu a broadened i? Iaeoe? I ke kūlana ma ke kaiāulu.

Ia ma-hohonu o ka manaʻo o ka helu, e like me 'Aʻohe a me ka io nui, hapa iki, helu i kapa i ka mea nui i loko o nāʻaoʻao, i ka waiwai a me ka hana hoihoi mōʻaukala o? Acaeoey.

Makemakika a me ka mea hiki koʻAigupita

Elua kahiko kanaka hoa i loko o ke ao ana o ke ao nei, a me ka hoʻoponopono maʻamau o pilikia - keia makemakika a me ka anahonua.

Ua Ua manaoio aku i ka mōʻaukala o ka makemakika i kona kêia kanaka i loko o ke kahiko East: India, Aigupita, Babulona, a me China. No laila, Rhind papyrus o Aigupita me Kinohi (no laila, i kapaʻia no ka mea, o ka ia ka inoa no i ka mea nona), ka launa pū hoʻi i ka XX kenekulia. BC, ma ka hou i nā waiwai ikepili nā ke anoe o ka hapa i loko o ka nui o ka mahele me ka okoa denominators a me ka numerator like me kekahi.

No kekahi laʻana: = 1/60 + 2/73 1/219 + 1/292 + 1/365 .

Akā, ka mea i ka manaʻo o ia i ka luna 'decomposition? Ka nui, e hoike ana i ke kanaka o Aigupita hoʻokokoke aʻole i tolerate Hōʻuluʻulu Manaʻo manao e pili ana i ka helu, ma ka mea ku ole, i i na ho mea hiki mau hana wale no. Oia hoi, na ko Aigupita e e komo i loko o ka hana e like me ka helu, wale n? I ka mea e kūkulu i ka hale kupapaÿu, no ka laʻana. Ka mea, ua pono, e hoʻomaulia i ka lōʻihi o ka fin 'ole, a me ka mea i ai i kanaka e noho papyrus. I hiki ke ike, i kapaʻia ke kanaka o Aigupita holomua ma o ka ho,ʻano nunui, e hana ana, aole i mua o ke aloha o ka 'epekema.

No keia kumu, ho omaulia i loaʻa ma luna o papyri, hiki ole ke kapaia manaʻo ma ka kumuhana o ka mahele. Loa paha, ia mea he mea hiki e hoʻomākaukau ai, i kokua mai ai i hou ke hoʻoponopono pilikia me ka hapa. Ke kahiko koʻAigupita i i ike i ka multiplicationʻaina, hua mai la i ka 'ano lengthy hoʻomaulia, hohola mai i na mea he nui subtasks. Paha ia mea i kekahi o ia mau subtasks. He oluolu e hai i ka helu a me kēia mau laina i ka loa manawa-e hoopau ana, aʻaʻole loa i olelo mua iaʻi. Paha no keia kumu mākou e i ike i ka nui na makana no ka hooulu ana o ke kahiko o Aigupita makemakika.

Makamua Greece a me philosophical makemakika

He nui no ka ike ana o ke kahiko Hikina i ana E ke Kumu e ke kahiko Helene, i ike i ka kânaka o Hōʻuluʻulu, Hōʻuluʻulu a me ka philosophical noʻonoʻo. Hana ia hoihoi i ka mea i emi akā, me ka maikai loa theorists a me thinkers i paakiki i ka loaʻa. He mea maikai no ka 'epekema, no ka makemakika mea,ʻaʻole e hiki ke hele hohonu,ʻaʻole haehae ia me ka lanakila. O ka holo ana, ia mea hiki ke hoonui i ka 10 bipi wahine a me 100 nā lika o ka waiū, akā,ʻaʻole e hiki ke neʻe loa.

Helene manao kaumaha haʻalele i ka nui hoailona ma ka mōʻaukala, a ua hele mai lākou mau hana iā mākou.

• Euclid, a "hehee wale".
• Pythagoras.
• Archimedes.
• Eratosthenes.
• Zenon.
• Anaxagoras.

A, o ka papa, huli mai a pau i ke akeakamai o ka Helene, a oi loa aku hoi i ka poe hahai o Pythagoras hihia, ua ai passionate e pili ana i na huahelu, i noʻonoʻo ia i ka mea pohihihi honua lokahi. Nā helu i ua ai? Anoee, a hoʻokolokolo, i kekahi o ko lakou, a me kā lākou mau Leomakana wahi kūikawā waiwai. No kekahi laʻana:

• Hemolele helu - ka poe e noho ana i ka huina o ka a pau kona mahele ole i ka helu ia iho (6 = 1 + 2 + 3).
• Aloha helu - kēia mau nui, kekahi o i o ka huina o na mahele a pau o ka lua a me ka Hope versa (Pythagorean ike hoʻokahi wale nō o ia mau: 220 a me 284).

Ua i nā Helene, ka poe i manaoio aku i ka 'epekema e ke aloha,ʻaʻole i ka e me ia no ka pono o ka waiwai, nui strides,ʻimi ana, pāʻani a me ka pepa helu. It E e kaulana i ole a pau o ko lākou noiʻi i ua hoʻomano hoʻohana, kekahi o lakou, he poe wale "no ka maikai."

Hawaiian thinkers o ka Middle Ages

Like, ma ka Middle Ages makemakika mea aie kona ulu ana i ka hikina wā. Na Indians haawi mai i nā kiʻi i mākou 'Imi ho ohana e like me ka mea i "' Aʻohe", a me ka oihana oko a i ka ho omaulia'ōnaehana, ka mea mau kēia pokole. Mai Al-porridge, i loko o ka 15th kenekulia hana ma Samarkand, ua ili mākou i nā decimals, me ka i ia mea paakiki e noonoo ai i na laekahi makemakika.

Ma na aoao, Europe ike lea i na e piʻi like o ka hikina i i hiki i ke aloha i ka hana o ka Italia nä känaka 'epekema Leonardo Fibonacci, nāna i kākau i ka puke "Liber Abaci", i poe ike me'Ākia HOU. Ka mea, ua lilo i ke kihi o ka hooulu ana o ka hōʻailona helu a me ka makemakika, a me ka noiʻiʻepekema hana maʻEulopa.

Lūkini makemakika

Eia hoi, makemakika, ua loaʻa kona wahi, a uhuki i loko oʻEulopa, hoomaka ae la e hohola ma luna o Lūkini aina. Russian mua makemakika paʻiʻia i loko o 1703 - ka mea, ua o ka puke e pili ana i makemakika Leontiya Magnitskogo. No ka lōʻihi manawa ka mea, ua ka wale hōʻike aʻo i loko o makemakika. Ua loaʻa ka loiloi mua minute o ka hōʻailona helu a me ka anahonua. Nā oeeo, i i hoʻohana 'ia ma na ano he kumu hoʻohālike o Rusia ka mua puke haʻawina o ka makemakika, Apapika. 'Oiai, ua halawai Apapika numerals ma mua, ma nā kaha ka launa pū hoʻi i ka 17th kenekulia.

Ka puke iho ua hoʻonaniʻia me nā kiʻi o Archimedes a me Pythagoras, a ma luna o ka mea mua 'aoʻao - kiʻi makemakika like me ka wahine. Ua noho ma luna o ka noho aliʻi, ma lalo o ka mea, ua palapala ia ma ka olelo Hebera, no ka inoa o ke Akua, a ma luna o nāʻanuʻu e alakai ai i ke kuahu, kakauia me ka hua'ōlelo "mahele", "mea ulu", "hou", a no laila, ma luna o. D. One hiki wale i noonoo ai i ka waiwai i kumakaia ia truths, i mea e manaoia commonplace.

Ka puke o ka 600ʻaoʻao wehewehe like ke kumu o ka me hou a me ka multiplication papa, a me nā palapala noi no navigational sciences.

'Aʻole surprisingly, ka mea kākau i wae mai i ke kiʻi o ka Greek thinkers no kona puke, no ka mea,ʻo ia iā ia iho i hoopio ia e ka nani o ka makemakika, i ka'īʻana, "makemakika ua chislitelnitsa loaʻa he nani kou, nezavistnoe ...". Ua kokoke i ka makemakika ua maikai hookumu, no ka mea, o kona he ākea hookamaia hiki ke noʻonoʻo i ka hoʻomaka o ka kokololio? Acaeoey o ka 'epekema manaʻo i loko o Rusia, a mau ka naauao.

ole primes

Kuhina Nui helu - ia mea he maoli helu, i mea wale 2 maikaʻi mahele: 1 a me ka iho. All nā helu, ke ole 1 ua kapaia lua pele. Ano he kumu hoʻohālike o ka Kuhina Nui huahelu: 2, 3, 5, 7, 11, a me na mea e ae a pau i mea ole mahele'ē aʻe ma mua o 1 a me ka helu iho.

Like no ka helu 1, ia mea ma ka uku nui - he mea like i ka mea e e manaoia aole noonoo ole, aole hoi i huiʻia. Simple ma mua kilohi, he mea helu hūnā i na mea he nui unsolved mea pohihihi i loko o lākou iho.

Euclid ka theorem mai nei i ka mana loa helu o primes, a Eratosthenes i hele mai me ka kūikawā makemakika "kānana", i eliminates huikau nui, a koe no na mea wale.

Kona Mānoa, he wahi e kuapo undelete ka helu mua, a ma ka mahope luku mai ka poe e noho ana o kekahi mau no ia. Mākou i haʻi hou i kēia ke kaʻina hana no kekahi mau manawa - a kiʻi i ka papaʻaina o ke Kuhina Nui helu.

Kumu theorem o ka makemakika

Mawaena o na loina e pili ana i Kuhina Nui nui pono i loko o hōʻike i ke kumu o makemakika theorem.

XIX. Makemakika theorem hākālia nō i kekahi helu i oi mamua o 1, a he mea ole ka mea hiki ke decomposed i loko o ka huahana o ke Kuhina Nui loa mai i ka noho pololei ana o ka repetition kumumea, ka mea wale ala.

Kumu theorem o ka makemakika hoao loa ai cumbersome, a me ka naʻauao ka mea, ua i makemake e na kumu o ke.

Ma mua kilohi, ke Kuhina Nui helu - kula haʻahaʻaa manaʻo, akā, ia mea,ʻaʻole. Ke kālaikūlohea kekahi manawa, noʻonoʻo kula haʻahaʻaa'Ātoma, a ua loaʻa i loko o ka ke ao holoʻokoʻa. Primes hoolaa ai i ka nani moʻolelo mathematician Don Zagier "ka mua he kanalima miliona Kuhina Nui helu."

Mai ka "ekolu ohia" i deductive kānāwai

Mea oiaio hiki ke kapaia he ikaika kumu o nā mea a pau 'epekema - nā kānāwai o ka makemakika. E like me ke keiki i ka makemakika maka, këia i ka helu o nā wāwae a me nā mea kaua ma na dolls, i ka helu ana o polū, Mele, a no laila, ma luna o. D. No laila mākou e hoʻopaʻa haʻawina makemakika, a laila, i loko o progresses oi luna 'lula.

Mākou a pau ke ola hoʻolauna iā 'mai i na rula o ka makemakika, a pau no ke kanaka, he pono ka loa pono keia mau mea o nā mea a pau i' epekema i hāʻawi mai. Ka like ana o ka huina - ia mea "makemakika-pēpē", i hoʻolauna iā 'ke kanaka a hiki i ke ao nei o ka loa e like me ka huahelu i loko o kakahiaka kamaliʻi.

Higher makemakika - deductive 'epekema e Haʻawina i nā kānāwai o ka makemakika. Ka hapa nui o ia, ua ike no, aole nae paha mākou e i ike i ko lakou mau hua'ōlelo.

Ke kānāwai o ka hou a me ka multiplication

Kekahi mau integers i ka a me ka e hiki ke hoikeia like me ka huina o ka + b, i mea no hoi he helu maoli. E pili ana i ka mea hou, i ka i kēia kānāwai:

• i mai nei i ka permutation o nā hua'ōlelo wahi dala 'aʻole e hoʻololi, a he + a b = e + i ka Commutative,.
• Associative i mai la puu dala, aole ia e hilinaʻi ma ka ano o Hoʻohui 'ia nā hua'ōlelo i loko o nā wahi, a me ka + (b + c) = (i + b) + c.

Na rula o ka makemakika, e like me hou, - kekahi o na kumu o, akā, e hoʻohana 'ia ka mea, i nā sciences a pau,ʻaʻole e hōʻike maʻamau o ke ola.

Kekahi mau integers i ka a me ka e hiki ke hoikeia ma ka huina hoonui a me ka b. * I * b, i mea no hoi he helu maoli. E pili i ka huina hoonui o ka ia commutative a me ka associative kānāwai like me ka hou ana o:

• he * b. = e * he;
• he * (b * c) = (i * b) * c.

He hana hoihoi 'ia ka mea, he kānāwai, a hiehie hou a me ka multiplication, iʻikeʻia me ka puunaue a distributive kānāwai:

he (b + c) = ab + AC

iā mākou i kēia kānāwai aʻo i ka hana me ka brackets, wehe ia lakou, pela kakou e hana nei me ka hou luna 'nā papakuhikuhi. Eia na kanawai i, e alakai aku ia kakou ma ka quaint akā, luna 'ao o ka hōʻailona helu.

Law makemakika mea

e pili ana i nā kānāwai o ke kanaka ke kūpili mea hoʻohana lā kela, o kéu hoʻomaopopo i kona wati, a helu i ka bila. A, aka hoi, a me ka mea, e ia i loko o ka 'ōlelo.

Inā mākou i mau maikaʻi integers i ka a me ka b, alaila, i ka i kēia koho:

• i ka mea like o A ia E, a he = b.;
• ka emi mai o e, a me ka
• i ka mea i oi aku mamua e, a me ka> b.

O na koho ekolu pono hiki e hoʻokahi wale nō. Ke XIX. Law, i noho aupuni aku ai i ke kaʻina hana, i mai la: ina he

Aia i kekahi kānāwai i paa ai ka hana o ka oihana o ka hou a me ka multiplication: ina he

Na kanawai o ka makemakika ao mai iā mākou, e hana me ka nui, na hoailona a me brackets, haliu ae la ia na mea a pau i loko o ka harmonious symphony o ka helu.

Positional a nonpositional helu kahua

Mākou ke i aku nei au i ka helu - keia mea i ka olelo o ka makemakika, mai ka pono o ka i hilinaʻi nui ma luna o na mea he nui. Ua nui nenoai o ka i ka ho omaulia, a, e like me ka'ōlelo Hawaiʻi, a okoa 'ōlelo OAOOUIEeE.

E noonoo oe i ka helu'ōnaehana mai o ka wahi o ka hopena keia oihana ma ka laupaʻi cia o ka huahelu i loko o kēia kūlana. No ka laʻana, Roma nenoaiu mea nonpositional kahi kēlā me kēia helu ua encoded ma kekahi mau 'kau o kūikawā huapalapala: I / V / X / L / C / D / M. lakou e, niioaaonoaaiii, i ka helu 1/5/10/50/100/500 / 1000. Ma keia nenoaiu, i ka huahelu aʻole hoʻololi i kona laupaʻi e manaʻo ai, ke kaumaha ma muli i ka oihana ka mea pono: .. ka mua, lua, etc. no ke kiʻi 'i nā helu, ka mea i pono, e waiho iho i ke kumu. No kekahi laʻana:

• DCC = 700.
• CCM = 800.

More kama'āina iā mākou numeral'ōnaehana hoʻohana Apapika numerals mea positional. Ma ia he'ōnaehana i ka helu o ka hookuuia Ho'ākāka 'ka helu o nā huahelu, no kekahi laʻana, huahelu-ekolu helu: 333, 567, etc. Ke kaupaona ana o kekahi o ka hookuuia hilinaʻi nui ma luna o kaʻoihana ma luna i ka huahelu o kekahi a ka mea 'ē aʻe, e laʻa me ka huahelu 8 i loko o ka lua o ka manao i ka waiwai o ka 80. He typical no ka kekimala'ōnaehana, he mea'ē aʻe positional'ōnaehana e like me aeaie.

aeaie makemakika

He mau ninau-kekimala nenoaiu, oia hoi o ka hookahi-iki a me ka nunui-iki helu. Ke aka ma ka hema i loko o ka huahelu helu mea umi manawa oi aku i ka nui i ka kekahi ma ka akau. No laila, ua hoʻohana i ka heluhelu 2, 17, 467, a no laila, ma luna o. D. It mea he okoa ke kūpili, a kokoke loa i kahi pauku, i kapaia o "aeaie makemakika." Kēia mea e kahaha ko oukou naau, no ka mea, aeaie makemakika ua i hana no kanaka kūpili, a no ke kamepiula. Inā i ka makemakika a helu originated mai i ka helu, a hoi Hōʻuluʻulu Manaʻo mai ke kumuhana waiwai e "olohelohe" makemakika, a laila, i kēia e ole e holopono ana me kāu kamepiula. Ia e hiki ke kaʻana i ko lakou ike ana i ke kamepiula, he kanaka, ua i invent he kükohu i ka ho omaulia.

Aeaie makemakika hana me ka aeaie Hawaiʻi, a he wale o ka 0 a me 1. i ka hana o keia Hawaiʻi ua kapaia he aeaie kahua A.

Haʻalele aeaie makemakika kekimala i ka nui o ke kulana o ka hema i hou 10, a me 2 manawa. Aeaie helu i o ka palapala 111, 1001, a no laila, ma luna o. D. mau helu Pehea lā mākou e ike? Pela, ua noonoo ka helu 1100:

1. Ka mua huahelu ma ka hema - 1 * 8 = 8, e hali ana i ka manaʻo i ka ha o ka huahelu, a 'o ia hoʻi i ka mea pono e hoonuiia ka 2, e hele mākou i ka 8 kulana.
2. Lua o ka huahelu 1 * 4 = 4 (kūlana 4).
3. Ke kolu o ka huahelu 0 * 2 = 0 (kūlana 2).
4. I ka ha o ka huahelu 0 * 1 = 0 (kūlana 1).
5. A mākou helu 1100 = 8 + 4 + 0 + 0 = 12.

Ia mea, ke hoʻololi i ka hou waeʻano no ma ka hema o kona manaʻo nui i loko o ka aeaie'ōnaehana ua hoonuiia ka 2, a me ka kekimala - i 10. Oia ka'ōnaehana i kekahi drawback: ia mea, ua nui'āpana ulu ana i koi 'ia e palapala helu. Ano he kumu hoʻohālike kekimala helu dvochinyh i hiki ke ike ia ma ka papaʻaina kēia.

Kekimala helu i na poe i aeaie palapala ma lalo iho nei.

Ua Ua i hoʻohana octal, a me ka hexadecimal helu nenoaiu.

Kēia pohihihi makemakika

He aha ka makemakika, "mau hua hoʻohui mau" a unexplored mea pohihihi o ka helu? E like me 'oe ke ike, makemakika, e hiki, a me ia mea ma mua kilohi i ka noʻonoʻo, akā, ia mea i maopopo hoopunipuni nanea ana. He hiki i ka hoʻopaʻa haʻawina keiki, a me ka pu a me Auntie Owl, mai ka Cartoon "makemakika-pēpē", a oe ke luu i loko o ka hohonu scientific noiʻi aneane philosophical kauoha. Ma mōʻaukala ka mea, ua hele mai ka helu mea e hoomana aku i ka nani o ka helu. Kekahi mea i kekahi: a me ka hoʻokumu o ka walaʻauʻana postulates o ka makemakika, a pau 'epekema ke kūkulu i kona lima ikaika.