Richard Hamming. "Mokuna Nonexistent": Pehea mākou e ʻike ai i ka mea a mākou e ʻike ai (ka mana piha)


(No ka poʻe i heluhelu mua i nā ʻāpana mua o ka unuhi ʻana o kēia haʻiʻōlelo, e hoʻi i ka helu manawa 20:10)

[He ʻōlelo maopopo ʻole ʻo Hamming ma nā wahi, no laila, inā loaʻa iā ʻoe kekahi manaʻo no ka hoʻomaikaʻi ʻana i ka unuhi ʻana o nā ʻāpana pākahi, e ʻoluʻolu e kākau i kahi leka pilikino.]

ʻAʻole kēia haʻiʻōlelo ma ka papa kuhikuhi, akā pono e hoʻohui ʻia e pale i ka puka makani ma waena o nā papa. ʻO ka haʻiʻōlelo e pili ana i ka ʻike ʻana i ka mea a mākou e ʻike ai, inā ʻoiaʻiʻo, ʻike maoli mākou. Ua like kēia kumuhana i ka wā kahiko - ua kūkākūkā ʻia no nā makahiki he 4000 i hala iho nei, inā ʻaʻole lōʻihi. Ma ka philosophy, ua hana ʻia kahi huaʻōlelo kūikawā e hōʻike iā ia - epistemology, a i ʻole ka ʻepekema o ka ʻike.

Makemake au e hoʻomaka me nā ʻohana primitive o ka wā i hala. He mea pono e hoʻomaopopo i loko o kēlā me kēia o lākou he moʻolelo e pili ana i ka hana ʻana o ka honua. Wahi a kekahi manaʻo o Iapana kahiko, ua hoʻāla kekahi i ka ʻōpala, mai ka ʻōpala o nā mokupuni i ʻike ʻia. Ua like pū kekahi me nā kānaka ʻē aʻe: no ka laʻana, manaʻo ka poʻe ʻIseraʻela ua hana ke Akua i ka honua no nā lā ʻeono, a ma hope iho ua luhi ʻo ia a hoʻopau i ka hana ʻana. Ua like kēia mau moʻolelo a pau - ʻoiai he ʻokoʻa ko lākou mau manaʻo, hoʻāʻo lākou a pau e wehewehe i ke kumu o kēia honua. E kapa wau i kēia ʻano he theological no ka mea ʻaʻole ia e pili ana i nā wehewehe ʻokoʻa ʻē aʻe "ua hana ʻia ma ka makemake o ke akua; Ua hana lākou i ka mea a lākou i manaʻo ai he mea pono, a pēlā i hoʻokumu ʻia ai ka honua.

Ma kahi o ke kenekulia XNUMX BC. e. Ua hoʻomaka ka poʻe akeakamai o Helene kahiko e nīnau i nā nīnau kikoʻī - he aha ke ʻano o kēia ao, he aha kona mau ʻāpana, a ua hoʻāʻo hoʻi e hoʻokokoke pono iā lākou ma mua o ka theologically. E like me ka mea i ʻike ʻia, hōʻike lākou i nā mea: ka honua, ke ahi, ka wai a me ka ea; he nui nā manaʻo a me nā manaʻoʻiʻo ʻē aʻe, a ua hoʻololi ʻia kēia mau mea āpau i ko mākou mau manaʻo hou o ka mea a mākou i ʻike ai. Eia naʻe, ua kānalua kēia kumuhana i ka poʻe i ka manawa a pau, a ʻo ka poʻe Helene kahiko i kahaha pehea lākou i ʻike ai i kā lākou ʻike.

E like me kāu e hoʻomanaʻo ai mai kā mākou kūkākūkā ʻana i ka makemakika, ua manaʻo ka poʻe Helene kahiko ʻo geometry, kahi i kaupalena ʻia ai kā lākou makemakika, he ʻike hilinaʻi a hiki ʻole ke hoʻopaʻapaʻa ʻia. Eia naʻe, e like me Maurice Kline, ka mea kākau o ka puke "Mathematics," i hōʻike ai. ʻO ka nalo ʻana o ka ʻoiaʻiʻo," a ka hapa nui o ka poʻe makemakika e ʻae, ʻaʻohe ʻoiaʻiʻo i ka makemakika. Hāʻawi ka makemakika i ke kūlike wale nō i hāʻawi ʻia i nā lula o ka noʻonoʻo. Inā hoʻololi ʻoe i kēia mau lula a i ʻole nā ​​manaʻo i hoʻohana ʻia, e ʻokoʻa loa ka makemakika. ʻAʻohe mea ʻoiaʻiʻo, koe wale nō paha nā kānāwai he ʻumi (inā he Karistiano ʻoe), akā, auwe, ʻaʻohe mea e pili ana i ke kumuhana o kā mākou kūkākūkā. He mea leʻaleʻa.

Akā hiki iā ʻoe ke hoʻohana i kekahi mau ala a loaʻa nā hopena like ʻole. ʻO Descartes, no ka noʻonoʻo ʻana i nā manaʻo o ka poʻe akeakamai he nui i mua ona, ua hoʻi i hope a nīnau i ka nīnau: "Pehea ka liʻiliʻi e hiki ai iaʻu ke maopopo?"; Ma ke ʻano he pane, koho ʻo ia i ka ʻōlelo "Manaʻo wau, no laila ʻo wau." Mai kēia ʻōlelo ua hoʻāʻo ʻo ia e kiʻi i ke akeakamai a loaʻa ka ʻike he nui. ʻAʻole i hōʻoia pono ʻia kēia manaʻo, no laila ʻaʻole i loaʻa iā mākou ka ʻike. Ua hoʻopaʻapaʻa ʻo Kant ua hānau ʻia nā mea a pau me ka ʻike paʻa o ka geometry Euclidean, a me nā ʻano mea ʻē aʻe, ʻo ia hoʻi, aia kahi ʻike maoli i hāʻawi ʻia, inā makemake ʻoe, e ke Akua. ʻO ka mea pōʻino, e like me ke kākau ʻana o Kant i kona mau manaʻo, ua hana nā mea makemakika i nā geometries non-Euclidean e like me kā lākou prototype. ʻIke ʻia ʻo Kant e hoʻolei ana i nā huaʻōlelo i ka makani, e like me nā mea a pau i hoʻāʻo e noʻonoʻo e pili ana i kona ʻike ʻana i kāna ʻike.

He kumuhana koʻikoʻi kēia, no ka mea, huli mau ʻia ka ʻepekema no ke kumu: lohe pinepine ʻoe ua hōʻike ka ʻepekema i kēia, hōʻoia ʻia e like me kēia; ʻike mākou i kēia, ʻike mākou i kēlā - akā ʻike mākou? He ʻoiaʻiʻo kēnā? E nānā au i kēia mau nīnau i nā kikoʻī hou aku. E hoʻomanaʻo kākou i ke kānāwai mai ka biology: ontogeny repeats phylogeny. 'O ia ho'i, 'o ka ho'omohala 'ana o ke kanaka, mai ka hua manu i ho'oma'ama'a 'ia a hiki i ka haumāna, e hana hou ana i ke ka'ina holo'oko'a o mua. No laila, hoʻopaʻapaʻa ka poʻe ʻepekema i ka wā o ka ulu ʻana o ka embryonic, ʻike ʻia nā ʻāpana gill a nalowale hou, a no laila ke manaʻo nei lākou he iʻa ko mākou mau kūpuna.

Maikaʻi ke kani inā ʻaʻole ʻoe e noʻonoʻo koʻikoʻi. Hāʻawi kēia i kahi manaʻo maikaʻi loa i ka hana ʻana o ka evolution, inā manaʻoʻiʻo ʻoe. Akā, e hele iki au a nīnau: pehea e aʻo ai nā keiki? Pehea lākou e loaʻa ai ka ʻike? Ua hānau ʻia paha lākou me ka ʻike i koho mua ʻia, akā ʻoʻopa liʻiliʻi kēlā. ʻO kaʻoiaʻiʻo, he mea kānalua loa ia.

No laila he aha ka hana a nā keiki? Loaʻa iā lākou kekahi mau manaʻo, e hoʻolohe ana, hoʻomaka nā keiki e hana i nā kani. Hana lākou i kēia mau leo ​​a mākou i kapa pinepine ai i ka babbling, a ʻaʻole i hilinaʻi kēia ʻōhumu i kahi i hānau ai ke keiki - ma Kina, Lūkia, ʻEnelani a i ʻole ʻAmelika, e ʻakaʻaka nā keiki i ke ʻano like. Eia naʻe, ʻokoʻa ka ulu ʻana o ka babbling ma muli o ka ʻāina. Eia kekahi laʻana, i ka wā e'ōlelo ai kahi keiki Lūkini i ka hua'ōlelo "mama" iʻelua manawa, e loaʻa iā ia kahi pane maikaʻi a no laila e hana hou i kēia mau kani. Ma o ka ʻike, ʻike ʻo ia i nā leo e kōkua i ka hoʻokō ʻana i kāna makemake a me ka mea ʻole, a no laila ke aʻo nei i nā mea he nui.

E hoʻomanaʻo wau iā ʻoe i kaʻu mea i ʻōlelo ai i nā manawa he nui - ʻaʻohe huaʻōlelo mua ma ka puke wehewehe. wehewehe ʻia kēlā me kēia huaʻōlelo ma o nā mea ʻē aʻe, ʻo ia hoʻi, he pōʻai ka puke wehewehe. Pēlā nō, i ka wā e hoʻāʻo ai ke keiki e kūkulu i ke kaʻina o nā mea, paʻakikī ʻo ia e hālāwai me nā mea like ʻole e pono ai e hoʻoholo, ʻoiai ʻaʻohe mea mua e aʻo ai ke keiki, a ʻaʻole hana mau ka "makuahine". Hiki mai ka huikau, no ka laʻana, e like me kaʻu e hōʻike nei. Eia kahi hoʻohenehene kaulana ʻAmelika.

lyrics of a popular song (Gladly the cross I'd bear, gladly bear your kea)
a me ke ʻano o ka lohe ʻana o nā keiki (hauʻoli ka bea maka keʻa, hauʻoli ka bea maka keʻa)

(Ma ka ʻōlelo Lūkini: violin-fox/creak of a wheel, he emerald wanking au/cores he emerald maʻemaʻe, inā makemake ʻoe i nā pulu bipi/inā makemake ʻoe e hauʻoli, e hoʻihoʻi i kou ʻāʻī.)

Ua loaʻa iaʻu nā pilikia like ʻole, ʻaʻole i kēia hihia, akā aia kekahi mau hihia i koʻu ola i hiki iaʻu ke hoʻomanaʻo i koʻu manaʻo ʻana he pololei paha kaʻu mea e heluhelu nei a me ka ʻōlelo ʻana, akā ua hoʻomaopopo ka poʻe a puni iaʻu, ʻoi aku koʻu mau mākua. .. ʻokoʻa loa kēlā.

Maanei hiki iā ʻoe ke nānā i nā hewa koʻikoʻi a ʻike pū i ke ʻano o ia mau mea. Aia ke keiki i ka pono e hana i nā manaʻo e pili ana i ke ʻano o nā huaʻōlelo ma ka ʻōlelo a aʻo mālie i nā koho kūpono. Eia naʻe, hiki ke lōʻihi ka hoʻoponopono ʻana i ia mau hewa. ʻAʻole hiki ke hōʻoia ua hoʻoponopono ʻia lākou i kēia manawa.

Hiki iā ʻoe ke hele i kahi mamao loa me ka maopopo ʻole i kāu hana. Ua kamaʻilio mua wau e pili ana i koʻu hoaaloha, he kauka o ka ʻepekema makemakika mai ke Kulanui ʻo Harvard. I kona puka ʻana mai Harvard, ua ʻōlelo ʻo ia hiki iā ia ke helu i ka derivative ma ka wehewehe ʻana, akā ʻaʻole maopopo ʻo ia, ʻike wale ʻo ia pehea e hana ai. He ʻoiaʻiʻo kēia no nā mea he nui a mākou e hana nei. No ka holo kaʻa kaʻa, skateboard, ʻauʻau, a me nā mea ʻē aʻe he nui, ʻaʻole pono mākou e ʻike pehea e hana ai. Me he mea lā ua ʻoi aku ka ʻike ma mua o ka hiki ke haʻi ʻia ma nā huaʻōlelo. Ke kānalua nei au i ka ʻōlelo ʻana ʻaʻole ʻoe ʻike i ka holo kaʻa kaʻa, ʻoiai ʻaʻole hiki iā ʻoe ke haʻi mai iaʻu pehea, akā e holo ana ʻoe i mua oʻu ma ka huila hoʻokahi. No laila, ʻokoʻa loa ka ʻike.

E hōʻuluʻulu iki kāua i kaʻu mea i ʻōlelo ai. Ke manaʻoʻiʻo nei kekahi poʻe he ʻike maoli ko mākou; Inā ʻoe e nānā i ke kūlana holoʻokoʻa, hiki paha iā ʻoe ke ʻae i kēia, me ka noʻonoʻo ʻana, no ka laʻana, loaʻa i nā keiki ke ʻano o ka hoʻopuka ʻana i nā leo. Inā hānau ʻia ke keiki ma Kina, e aʻo ʻo ia e haʻi i nā leo he nui i mea e hoʻokō ai i kāna makemake. Inā hānau ʻia ʻo ia ma Rūsia, e hana pū ʻo ia i nā kani he nui. Inā hānau ʻia ʻo ia ma ʻAmelika, e hoʻokani mau ʻo ia i nā leo he nui. ʻAʻole koʻikoʻi ka ʻōlelo ma ʻaneʻi.

Ma kekahi ʻaoʻao, loaʻa i ke keiki ka hiki ke aʻo i kekahi ʻōlelo, e like me nā ʻōlelo ʻē aʻe. Hoʻomanaʻo ʻo ia i ke ʻano o nā leo a ʻike i ke ʻano o ia mau leo. Pono ʻo ia e hoʻokomo i ka manaʻo i loko o kēia mau leo, ʻoiai ʻaʻohe hapa mua e hiki iā ia ke hoʻomanaʻo. E hōʻike i kāu keiki i kahi lio a nīnau iā ia: "ʻO ka huaʻōlelo "lio" ka inoa o ka lio? A i ʻole, he ʻehā ona wāwae? ʻO kona kala paha kēia? Inā ʻoe e hoʻāʻo e haʻi i ke keiki i ke ʻano o ka lio ma ka hōʻike ʻana, ʻaʻole hiki i ke keiki ke pane i kēlā nīnau, akā ʻo ia kāu ʻōlelo. ʻAʻole ʻike ke keiki i ka ʻāpana e hoʻokaʻawale i kēia huaʻōlelo. A i ʻole, e lawe i ka huaʻōlelo "e holo." Hiki ke hoʻohana i ka wā e neʻe wikiwiki ai ʻoe, akā hiki iā ʻoe ke ʻōlelo aku ua mae nā kala o kou pālule ma hope o ka holoi ʻana, a i ʻole e hoʻopiʻi i ka wikiwiki o ka uaki.

Loaʻa i ke keiki nā pilikia nui, akā ma hope a ma hope paha e hoʻoponopono ʻo ia i kāna mau hewa, me ka ʻae ʻana ua maopopo ʻole ʻo ia i kekahi mea. I ka hala ʻana o nā makahiki, liʻiliʻi a liʻiliʻi ka hiki i nā keiki ke hana i kēia, a i ka wā ʻelemakule, ʻaʻole hiki iā lākou ke loli hou. ʻIke loa, hiki i nā kānaka ke kuhihewa. E hoʻomanaʻo, no ka laʻana, ka poʻe i manaʻoʻiʻo ʻo ia ʻo Napoleon. ʻAʻole pili ka nui o nā hōʻike āu e hōʻike ai i kēlā kanaka ʻaʻole pēlā, e hoʻomau ʻo ia i ka manaʻoʻiʻo. ʻIke ʻoe, nui nā poʻe me nā manaʻoʻiʻo ikaika ʻaʻole ʻoe e kaʻana like. No ka mea, manaʻoʻiʻo paha ʻoe he pupule kā lākou mau manaʻoʻiʻo, ʻo ka ʻōlelo ʻana aia kahi ala ʻoiaʻiʻo e ʻike ai i ka ʻike hou ʻaʻole ʻoiaʻiʻo loa. E ʻōlelo ʻoe i kēia: "Akā, maʻemaʻe loa ka ʻepekema!" E nānā kākou i ke ʻano ʻepekema a ʻike inā he ʻoiaʻiʻo kēia.

Mahalo iā Sergei Klimov no ka unuhi.

10-43: Wahi a kekahi: "Ua ʻike ka ʻepekema i ka ʻepekema e like me ka ʻike o ka iʻa i ka hydrodynamics." ʻAʻohe wehewehe o ka ʻepekema ma ʻaneʻi. Ua ʻike au (manaʻo wau ua haʻi mua wau iā ʻoe) ma kahi o ke kula kiʻekiʻe e haʻi mai ana nā kumu like ʻole iaʻu e pili ana i nā kumuhana like ʻole a hiki iaʻu ke ʻike i nā kumu like ʻole e kamaʻilio ana i nā kumuhana like ma nā ʻano like ʻole. Eia kekahi, i ka manawa like ua nānā au i kā mākou hana a he mea ʻokoʻa hou.

I kēia manawa, ua ʻōlelo paha ʻoe, "hana mākou i nā hoʻokolohua, nānā ʻoe i ka ʻikepili a hana i nā manaʻo." He mea lapuwale paha keia. Ma mua o kou hōʻiliʻili ʻana i ka ʻikepili āu e pono ai, pono e loaʻa iā ʻoe kahi manaʻo. ʻAʻole hiki iā ʻoe ke hōʻiliʻili wale i kahi pūʻulu ʻikepili: nā kala i loko o kēia lumi, ke ʻano o ka manu āu e ʻike ai ma hope aʻe, a me nā mea ʻē aʻe, a manaʻo e lawe lākou i kekahi ʻano. Pono ʻoe i kekahi manaʻo ma mua o ka ʻohi ʻana i ka ʻikepili. Eia kekahi, ʻaʻole hiki iā ʻoe ke wehewehe i nā hopena o nā hoʻokolohua hiki iā ʻoe ke hana inā ʻaʻohe manaʻo. ʻO nā hoʻokolohua nā manaʻo i hele i ke ala a pau mai ka hoʻomaka a i ka hopena. Loaʻa iā ʻoe nā manaʻo i manaʻo ʻia a pono e wehewehe i nā hanana me ia i ka noʻonoʻo.

Loaʻa iā ʻoe kahi helu nui o nā manaʻo preconceived mai cosmogony. Hōʻike nā ʻohana kahiko i nā moʻolelo like ʻole e pili ana i ke ahi, a lohe nā keiki iā lākou a aʻo i ka pono a me nā loina (Ethos). Inā ʻoe i loko o kahi hui nui, e aʻo nui ʻoe i nā lula o ka ʻano ma ka nānā ʻana i ka hana a nā poʻe ʻē aʻe. Ke ulu ʻoe, ʻaʻole hiki iā ʻoe ke hoʻōki i nā manawa a pau. Manaʻo wau i koʻu nānā ʻana i nā wahine i koʻu mau makahiki, hiki iaʻu ke ʻike i ke ʻano o ke ʻano o nā lole i nā lā o kēia mau lede i ke kulanui. Hiki paha iaʻu ke hoʻopunipuni iaʻu iho, akā ʻo ia kaʻu e noʻonoʻo ai. Ua ʻike ʻoe a pau i nā Hippies kahiko e ʻaʻahu a hana ana e like me kā lākou i hana ai i ka wā i hoʻokumu ʻia ai ko lākou ʻano. He mea kupanaha ka nui o kou loaʻa ʻana ma kēia ʻano a ʻaʻole ʻoe i ʻike, a me ka paʻakikī o nā luahine e hoʻomaha a haʻalele i kā lākou mau maʻamau, me ka ʻike ʻana ʻaʻole lākou i ʻae ʻia.

He mea weliweli loa ka ike. Hele mai ia me nā manaʻo ʻino a pau āu i lohe ai ma mua. No ka laʻana, loaʻa iā ʻoe ka manaʻo ʻino ʻo A ma mua o B a ʻo A ke kumu o B. ʻAe. ʻO ka lā ma hope o ka pō. ʻO ka pō ke kumu o ke ao? A i ʻole ke ao ke kumu o ka pō? ʻAʻole. A ʻo kekahi laʻana aʻu i makemake nui ai. Hoʻopili maikaʻi loa nā pae muliwai o Potoʻmac me ka helu o nā kelepona. Ke piʻi aʻe ka ʻilikai o ka muliwai i ke kelepona ʻana, no laila, huhū mākou. ʻAʻole hiki i ke kelepona ke piʻi aʻe ke kiʻekiʻe o ka muliwai. He ua a no kēia kumu e kāhea pinepine ai ka poʻe i ka ʻoihana kaʻa a no nā kumu ʻē aʻe e pili ana, no ka laʻana, e hōʻike ana i ka poʻe aloha ma muli o ka ua e hoʻopaneʻe ʻia lākou a i ʻole kekahi mea like, a ʻo ka ua ke kumu o ka ʻili o ka muliwai. ala mai.

ʻO ka manaʻo e hiki iā ʻoe ke haʻi i ke kumu a me ka hopena no ka mea i hele mai kekahi ma mua o kekahi. Pono kēia i kahi makaʻala i kāu loiloi a me kou noʻonoʻo a alakaʻi paha iā ʻoe i ke ala hewa.

I ka wā prehistoric, ʻike nā kānaka i nā lāʻau, nā muliwai a me nā pōhaku, no ka mea ʻaʻole hiki iā lākou ke wehewehe i nā hanana i hana ʻia. Akā, ʻo nā ʻUhane, ʻike ʻoe, he manaʻo kūʻokoʻa, a ma kēia ʻano i wehewehe ʻia ai ka mea e hana nei. Akā i ka wā lōʻihi ua hoʻāʻo mākou e kaupalena i nā ʻuhane. Inā hana ʻoe i ka ea i makemake ʻia me kou mau lima, a laila hana nā ʻuhane i kēia a me kēlā. Inā ʻoe e hoʻolei i nā kiʻi kūpono, e hana ka ʻuhane lāʻau i kēia a me kēlā a e hana hou nā mea a pau. A i ʻole inā kanu ʻoe i ka mahina piha, ʻoi aku ka maikaʻi o ka ʻohi ʻana a i ʻole kekahi mea like.

Ke kaumaha nei nō paha kēia mau manaʻo i ko kākou mau hoʻomana. He nui loa ko lakou. Hana maikaʻi mākou ma ke akua a hāʻawi mai ke akua iā mākou i nā pono a mākou e noi ai, inā pono mākou e hana pono e kā mākou poʻe aloha. No laila, nui nā akua kahiko i lilo i Akua hoʻokahi, ʻoiai he Akua Karistiano, ʻo Allah, hoʻokahi Buddha, ʻoiai i kēia manawa he mau Buddha kā lākou. Ua hoʻohui ʻia ka nui a i ʻole ka liʻiliʻi o ia mea i hoʻokahi Akua, akā he nui kā mākou kilokilo ʻeleʻele a puni. He nui kā mākou kilokilo ʻeleʻele ma ke ʻano o nā huaʻōlelo. Eia kekahi laʻana, he keikikāne kāu i kapa ʻia ʻo Charles. ʻIke ʻoe, inā ʻoe e kū a noʻonoʻo, ʻaʻole ʻo Charles ke keiki ponoʻī. He inoa pēpē ʻo Charles, akā ʻaʻole like ia. Eia naʻe, pili pinepine ka ʻeleʻele i ka hoʻohana ʻana i kahi inoa. Kākau wau i ka inoa o kekahi a puhi iā ia a hana i kekahi mea ʻē aʻe, a he hopena paha ia i ke kanaka ma kekahi ʻano.

A i ʻole, loaʻa iā mākou ke kilokilo aloha, kahi e like ai kekahi mea me kekahi, a inā e lawe au a ʻai, e hiki mai ana kekahi mau mea. ʻO ka nui o ka lāʻau lapaʻau i nā lā mua he homeopathy. Inā like ke ʻano o kekahi mea me kekahi, ʻokoʻa ke ʻano. ʻAe, ʻike ʻoe ʻaʻole hana maikaʻi kēlā.

Ua haʻi wau iā Kant, nāna i kākau i kahi puke holoʻokoʻa, The Critique of Pure Reason, āna i hana ai ma kahi leo nui a mānoanoa i ka ʻōlelo paʻakikī, e pili ana i ka ʻike ʻana i ka mea a mākou e ʻike ai a pehea mākou e haʻalele ai i ke kumuhana. ʻAʻole wau i manaʻo he manaʻo kaulana loa ia e pili ana i ka hiki iā ʻoe ke maopopo i kekahi mea. E hāʻawi wau i kahi laʻana o kahi kūkākūkā aʻu i hoʻohana pinepine ai i ka wā e ʻōlelo ai kekahi ua maopopo lākou i kekahi mea:

- ʻIke wau ua maopopo loa ʻoe?
- Me ke kanalua ole.
- ʻAʻohe kānalua, maikaʻi. Hiki iā mākou ke kākau ma ka pepa inā hewa ʻoe, ʻo ka mua, e hāʻawi ʻoe i kāu kālā a pau, a ʻo ka lua, e pepehi ʻoe iā ʻoe iho.

ʻAʻole makemake lākou e hana. 'Ōlelo wau: akā, ua maopopo iāʻoe! Hoʻomaka lākou e kamaʻilio naʻaupō a manaʻo wau hiki iā ʻoe ke ʻike i ke kumu. Inā nīnau au i kekahi mea āu i maopopo loa ai, a laila ʻōlelo ʻoe, "ʻAe, ʻae, ʻaʻole paha wau 100% maopopo."
Ua kamaʻāina ʻoe i kekahi mau hoʻomana haipule e manaʻo nei ua kokoke mai ka hopena. Kūʻai lākou i kā lākou waiwai a pau a hele i nā mauna, a ke mau nei ka honua, hoʻi mai lākou a hoʻomaka hou. Ua hana ʻia kēia i nā manawa he nui a i nā manawa he nui i koʻu ola. ʻO nā hui like ʻole i hana i kēia ua manaʻoʻiʻo e hiki mai ana ka honua a ʻaʻole i hiki. Ke ho'āʻo nei au e hōʻoiaʻiʻo iā ʻoe ʻaʻole ʻike maoli.

E nānā pono kākou i ka hana ʻepekema. Ua haʻi aku au iā ʻoe, ʻoiaʻiʻo, ma mua o kou hoʻomaka ʻana e ana pono ʻoe e hoʻokumu i kahi manaʻo. E ʻike kākou pehea e hana ai. Hana ʻia kekahi mau hoʻokolohua a loaʻa kekahi mau hopena. Ke ho'āʻo nei ka ʻepekema e hoʻokumu i ke kumumanaʻo, ma ke ʻano he ʻano kumu, e uhi ana i kēia mau hihia. Akā ʻaʻole hiki i kekahi o nā hopena hou ke hōʻoia i ka hopena e hiki mai ana.

Ma ka makemakika, aia kekahi mea i kapa ʻia ʻo ka makemakika induction, a inā ʻoe e hana i nā manaʻo he nui, hiki iā ʻoe ke hōʻoiaʻiʻo e kū mau kekahi hanana. Akā ʻo ka mua pono ʻoe e ʻae i nā manaʻo like ʻole a me nā manaʻo ʻē aʻe. ʻAe, hiki i ka makemakika ke hōʻoia i ka pololei o nā helu kūlohelohe a pau, akā ʻaʻole hiki iā ʻoe ke manaʻo e hiki i ka physicist ke hōʻoia e hiki mau kēia. No ka nui o kou hāʻule ʻana i ka pōleʻa, ʻaʻohe mea hōʻoia e ʻike ʻoe i ka mea kino aʻe āu e hāʻule ai ma mua o ka mea hope. Inā paʻa wau i ka baluna a hoʻokuʻu, lele i luna. Akā, e loaʻa koke iā ʻoe kahi alibi: "ʻAe, akā hāʻule nā ​​​​mea āpau koe wale nō kēia. A pono ʻoe e hana i kahi ʻokoʻa no kēia mea.

Ua piha ka ʻepekema i nā laʻana like. A he pilikia kēia nona nā palena ʻaʻole maʻalahi ke wehewehe.

I kēia manawa ua hoʻāʻo mākou a hoʻāʻo i ka mea āu i ʻike ai, ke alo nei mākou i ka pono e hoʻohana i nā huaʻōlelo e wehewehe. A hiki i kēia mau huaʻōlelo ke loaʻa nā manaʻo ʻokoʻa mai nā mea āu e hāʻawi ai iā lākou. Hiki i nā kānaka like ʻole ke hoʻohana i nā huaʻōlelo like me nā manaʻo like ʻole. ʻO kahi ala e hoʻopau ai i kēlā mau kuhihewa ʻana ʻo ka loaʻa ʻana o ʻelua mau kānaka i loko o ka hale hana e hoʻopaʻapaʻa ana no kekahi kumuhana. Hoʻopau ka hoʻomaopopo ʻole ʻana iā lākou a koi iā lākou e hoʻomaʻamaʻa nui a liʻiliʻi paha i kā lākou manaʻo ke kamaʻilio lākou i nā mea like ʻole. ʻIke pinepine ʻoe ʻaʻole like lākou i ka manaʻo.

Hoʻopaʻapaʻa lākou no nā wehewehe like ʻole. Hoʻololi ka manaʻo i ke ʻano o kēia. Ma hope o ka wehewehe ʻana i ka manaʻo o nā huaʻōlelo, ʻoi aku ka maikaʻi o kou hoʻomaopopo ʻana i kekahi i kekahi, a hiki iā ʻoe ke hoʻopaʻapaʻa e pili ana i ke ʻano - ʻae, ʻōlelo ka hoʻokolohua hoʻokahi mea inā maopopo ʻoe i kēia ʻano, a i ʻole ka hoʻokolohua ʻōlelo ʻē aʻe inā maopopo ʻoe i kahi ʻano ʻē aʻe.

Akā ʻelua mau huaʻōlelo āu i hoʻomaopopo ai i kēlā manawa. ʻAʻole maikaʻi loa nā huaʻōlelo iā mākou.

Mahalo iā Artem Nikitin no ka unuhi


20:10… ʻO kā mākou mau ʻōlelo, e like me koʻu ʻike, ʻoi aku ka manaʻo o nā mea āpau i ka "ʻae" a me "ʻaʻole," "ʻeleʻele" a me "keʻokeʻo," "ʻoiaʻiʻo" a me "ka wahaheʻe." Akā aia kekahi ʻano gula. He lōʻihi kekahi poʻe, he pōkole kekahi, a ma waena o ka lōʻihi a me ka pōkole kekahi, ʻo ia hoʻi. no ka mea, kiʻekiʻe paha kekahi, a ʻo ia hoʻi. He awelika lākou. He mea ʻino loa kā mākou mau ʻōlelo e hoʻopaʻapaʻa ai mākou i ke ʻano o nā huaʻōlelo. Ke alakaʻi nei kēia i kahi pilikia noʻonoʻo.
Ua hoʻopaʻapaʻa kekahi poʻe akeakamai e noʻonoʻo wale ʻoe ma nā ʻōlelo. No laila, aia nā puke wehewehe wehewehe, kamaʻāina iā kākou mai ka wā kamaliʻi mai, me nā manaʻo like ʻole o nā huaʻōlelo like. A ke manaʻo nei au ua loaʻa i nā mea a pau ka ʻike i ka wā e aʻo ai i ka ʻike hou, ʻaʻole hiki iā ʻoe ke haʻi i kekahi mea ma nā huaʻōlelo (ʻaʻole hiki ke loaʻa nā huaʻōlelo kūpono e hōʻike ai). ʻAʻole mākou noʻonoʻo i nā huaʻōlelo, hoʻāʻo wale mākou e hana, a ʻo ka mea i hana maoli ʻia ka mea e hiki mai ana.

E ʻōlelo kākou ua hoʻomaha ʻoe. Hoʻi ʻoe i ka home a haʻi i kekahi no ia mea. Liʻiliʻi, lilo ka hoʻomaha āu i lawe ai i mea āu e kamaʻilio ai i kekahi. ʻO nā huaʻōlelo, ma ke ʻano he lula, hoʻololi i ka hanana a hoʻokuʻu.
I kekahi lā, i ka wā hoʻomaha, kamaʻilio wau me ʻelua mau kānaka aʻu i haʻi aku ai i koʻu inoa a me koʻu wahi noho, a hele māua me kaʻu mau wāhine i ke kūʻai ʻana, a laila hoʻi mākou i ka home, a laila, me ke kūkākūkā ʻole ʻana me kekahi, kākau wau i ka mea hiki iaʻu. he aha nā hanana i kēia lā. Ua kākau wau i nā mea a pau aʻu i manaʻo ai a nānā i nā huaʻōlelo i lilo i hanana. Ua ho'āʻo wau i kaʻu mea maikaʻi loa e ʻae i ka hanana i nā ʻōlelo. No ka mea, ʻike maopopo wau i kēlā manawa ke makemake ʻoe e ʻōlelo i kekahi mea, akā ʻaʻole ʻike i nā huaʻōlelo kūpono. Me he mea lā ke hana nei nā mea a pau e like me kaʻu i ʻōlelo ai, ke lilo nei kāu hoʻomaha e like me ka mea i wehewehe ʻia ma nā huaʻōlelo. ʻOi aku ka nui ma mua o kāu i maopopo ai. I kekahi manawa pono ʻoe e kamaʻilio e pili ana i ke kamaʻilio ponoʻī.

ʻO kekahi mea i puka mai i waho o ka puke ma ka quantum mechanics ʻoiai inā loaʻa iaʻu kahi pūʻulu ʻikepili ʻepekema, hiki iā lākou ke loaʻa nā wehewehe ʻokoʻa loa. ʻEkolu a ʻehā mau manaʻo like ʻole o ka quantum mechanics e wehewehe a ʻoi aʻe paha i ke ʻano like. E like me ka geometry non-Euclidean a me Euclidean geometry e aʻo i ka mea like akā hoʻohana ʻia ma nā ʻano like ʻole. ʻAʻohe ala e loaʻa ai kahi manaʻo kūʻokoʻa mai kahi pūʻulu ʻikepili. A no ka pau ʻana o ka ʻikepili, ua paʻa ʻoe me ia. ʻAʻole loaʻa iā ʻoe kēia manaʻo kūʻokoʻa. ʻAʻole loa. Inā no nā 1 + 1 = 2 a pau, a laila ʻo ka ʻōlelo like ma ka code Hamming (ka mea kaulana loa o ka nānā ʻana a me nā code hoʻoponopono ponoʻī) ʻo ia ka 1+1=0. ʻAʻohe ʻike maopopo āu e makemake ai e loaʻa.

E kamaʻilio kāua e pili ana iā Galileo (ka physicist Italian, mechanic, astronomer of the XNUMXth century), me ia i hoʻomaka ai ka quantum mechanics. Ua manaʻo ʻo ia e hāʻule nā ​​kino hāʻule i ke ʻano like, me ka nānā ʻole i ka hoʻomau ʻana o ka wikiwiki, ka paʻa mau, a me ka mana o ka ea. ʻO ka mea maikaʻi loa, i loko o kahi hakahaka, hāʻule nā ​​mea a pau i ka wikiwiki like. Pehea inā pili kekahi kino i kekahi i ka wā e hāʻule ai. E hāʻule paha lākou i ka wikiwiki like no ka mea ua lilo lākou i hoʻokahi? Inā ʻaʻole i helu ʻia ka hoʻopā ʻana, pehea inā i nakinaki ʻia nā kino me ke kaula? E hāʻule anei nā kino ʻelua i hoʻopili ʻia e ke kaula e like me ka nui hoʻokahi a i ʻole e hāʻule mau paha ma ke ʻano he ʻelua nuipaʻa like ʻole? Pehea inā ʻaʻole nakinaki ʻia nā kino me ke kaula, akā me ke kaula? Pehea inā pili lākou i kekahi i kekahi? I ka manawa hea e manaʻo ʻia ai ʻelua kino hoʻokahi kino? A pehea ka wikiwiki e hāʻule ai kēia kino? ʻOi aku ka nui o kā mākou noʻonoʻo ʻana, ʻoi aku ka maopopo o nā nīnau "naʻaupō" a mākou e hana ai. 'Ōleloʻo Galileo: "E hāʻule nā ​​kino a pau i ka wikiwiki hoʻokahi, iʻole, e nīnau au i ka nīnau "naʻaupō", pehea eʻike ai kēia mau kino i ke kaumaha o lākou? Ma mua ona, ua manaʻo ʻia e hāʻule wikiwiki nā kino kaumaha, akā ua ʻōlelo ʻo ia ʻaʻole pili ka wikiwiki o ka hāʻule i ka nui a me nā mea. Ma hope e hōʻoia mākou i ka hoʻokolohua ua pololei ʻo ia, akā ʻaʻole mākou i ʻike i ke kumu. ʻO kēia kānāwai o Galileo, ʻoiaʻiʻo, ʻaʻole hiki ke kapa ʻia he kānāwai kino, akā he kānāwai waha-waha. ʻO ka mea i hoʻokumu ʻia ma ka ʻoiaʻiʻo ʻaʻole ʻoe makemake e nīnau i ka nīnau, "I ka manawa hea ʻelua kino hoʻokahi?" ʻAʻole pili ka nui o ke kaumaha o ke kino inā hiki ke manaʻo ʻia he kino hoʻokahi. No laila, e hāʻule lākou i ka māmā like.

Inā heluhelu ʻoe i nā hana maʻamau e pili ana i ka relativity, e ʻike ʻoe he nui ka theology a me ka liʻiliʻi o ka mea i kapa ʻia ʻo ka ʻepekema maoli. ʻO ka mea pōʻino, pēlā nō. He mea ʻē loa ka ʻepekema, pono ʻole e ʻōlelo!

E like me kaʻu i ʻōlelo ai ma nā haʻiʻōlelo e pili ana i nā kānana kikohoʻe, ʻike mau mākou i nā mea ma o ka "puka". ʻO ka puka makani ʻaʻole ia he manaʻo waiwai wale nō, akā he mea naʻauao hoʻi, kahi e "ʻike ai" mākou i kekahi mau manaʻo. Ua kaupalena mākou i ka ʻike wale ʻana i kekahi mau manaʻo, a no laila ua paʻa mākou. Akā naʻe, maopopo iā mākou pehea e hiki ai kēia. ʻAe, manaʻo wau ʻo ke kaʻina hana o ka manaʻoʻiʻo i ka mea hiki ke hana ʻepekema e like me ke keiki e aʻo ana i ka ʻōlelo. Manaʻo ke keiki e pili ana i kāna mea i lohe ai, akā ma hope e hoʻoponopono a loaʻa i nā hopena ʻē aʻe (ke kākau ʻia ma ka papa: “ʻOliʻoli ke keʻa aʻu e amo/Gladly, cross eye bear.” Pun: like “Gladly bear my cross/With pleasure , bea liʻiliʻi”). Hoʻāʻo mākou i kekahi mau hoʻokolohua, a ke hana ʻole lākou, hana mākou i kahi wehewehe ʻokoʻa o ka mea a mākou e ʻike nei. E like me ka hoʻomaopopo ʻana o ke keiki i ke ola naʻauao a me ka ʻōlelo āna e aʻo nei. Eia kekahi, ua hoʻopaʻa nā mea hoʻokolohua, kaulana i nā kumumanaʻo a me ka physics, i kahi manaʻo e wehewehe ana i kekahi mea, akā ʻaʻole i hōʻoia ʻia he ʻoiaʻiʻo. Ke waiho aku nei au iā ʻoe i kahi ʻoiaʻiʻo maopopo loa, ua hewa nā manaʻo mua a mākou i loaʻa i ka ʻepekema. Ua pani mākou iā lākou me nā manaʻo o kēia manawa. He kūpono ke noʻonoʻo e hele mai nei mākou e noʻonoʻo hou i nā ʻepekema āpau. He mea paʻakikī ke noʻonoʻo ʻaneʻane he wahaheʻe nā manaʻo āpau a mākou i kēia manawa. Ma ke ʻano he wahaheʻe nā mīkini kuʻuna i ka hoʻohālikelike ʻia me nā mechanics quantum, akā ma ka pae awelika a mākou i hoʻāʻo ai, ʻo ia nō paha ka mea hana maikaʻi loa i loaʻa iā mākou. Akā ʻokoʻa loa ko mākou manaʻo noʻonoʻo. No laila ke holomua nei mākou. Akā, aia kekahi mea ʻaʻole i noʻonoʻo ʻia a ʻo ia hoʻi ka loiloi, no ka mea, ʻaʻole i hāʻawi ʻia iā ʻoe ka loiloi nui.

Manaʻo wau ua haʻi aku wau iā ʻoe e ʻike koke ka mea makemakika maʻamau i loaʻa kāna PhD i ka wā e pono ai ʻo ia e hoʻomaʻemaʻe i nā hōʻoia o kāna thesis. No ka laʻana, ʻo ia ka hihia me Gauss a me kāna hōʻoia no ke kumu o kahi polynomial. A he kanaka makemakika nui ʻo Gauss. Ke hoʻokiʻekiʻe nei mākou i ke kūlana o ka paʻakikī i nā hōʻike. Ke hoʻololi nei ko mākou manaʻo i ke koʻikoʻi. Ke hoʻomaka nei mākou e ʻike ʻaʻole ʻo ka loiloi ka mea palekana a mākou i manaʻo ai. He nui nā lua i loko o ia mea e like me nā mea ʻē aʻe. ʻO nā kānāwai noʻonoʻo pehea ʻoe e noʻonoʻo ai i ke ʻano āu e makemake ai: "ʻae" a i ʻole "ʻaʻole", "ʻo ia-a-ʻo ia" a "ʻo ia paha". ʻAʻole mākou ma luna o nā papa pōhaku a Mose i lawe mai ai mai ka mauna ʻo Sinai mai. Ke hana nei mākou i nā manaʻo e hana maikaʻi i nā manawa he nui, akā ʻaʻole mau. A i loko o ka quantum mechanics, ʻaʻole hiki iā ʻoe ke ʻōlelo me ka ʻoiaʻiʻo ʻo nā ʻāpana he mau ʻāpana, a ʻo nā ʻāpana paha he nalu. I ka manawa like, ʻo ia nā mea ʻelua a ʻaʻole paha?

Pono mākou e hoʻi i hope mai ka mea a mākou e ho'āʻo nei e hoʻokō, akā e hoʻomau i ka mea e pono ai mākou. I kēia manawa, pono e manaʻoʻiʻo ka ʻepekema i kēia ma mua o nā manaʻo i hōʻoia ʻia. Akā he lōʻihi a paʻakikī kēia mau ʻano hana. A hoʻomaopopo pono ka poʻe i hoʻomaopopo i kēia mea ʻaʻole mākou e hana a ʻaʻole loa, akā hiki iā mākou, e like me ke kamaliʻi, e lilo i mea maikaʻi a maikaʻi. I ka manawa lōʻihi, e hoʻopau ana i nā kū'ē'ē aʻe. Akā, e hoʻomaopopo pono anei kēia keiki i nā mea a pau āna i lohe ai a ʻaʻole e huikau ia? ʻAʻole. Hāʻawi ʻia i ka nui o nā manaʻo e hiki ke unuhi ʻia ma nā ʻano like ʻole, ʻaʻole ia he mea kupanaha.

Ke noho nei mākou i kahi au i mana nui ʻia ka ʻepekema, akā ʻo ka ʻoiaʻiʻo ʻaʻole. ʻO ka hapa nui o nā nūpepa a me nā nūpepa, ʻo ia hoʻi ʻo Vogue (he makasina wahine), hoʻopuka i nā wānana astrological no nā hōʻailona zodiac i kēlā me kēia mahina. Manaʻo wau ʻaneʻane hōʻole ka poʻe ʻepekema āpau i ka ʻike kilokilo, ʻoiai i ka manawa like, ʻike mākou a pau i ke ʻano o ka hoʻoikaika ʻana o ka mahina i ka Honua, e hoʻoheheʻe ʻia ai ke kai.

30:20
Akā naʻe, kānalua mākou inā he lima ʻākau a lima hema paha ka mea hānau hou, ma muli o ka wahi i ka lewa o kahi hōkū he 25 mau makahiki māmā. ʻOiai ua ʻike pinepine mākou i ka ulu ʻana o nā poʻe i hānau ʻia ma lalo o ka hōkū hoʻokahi a he ʻokoʻa ko lākou hopena. No laila, ʻaʻole maopopo iā mākou inā pili nā hōkū i nā kānaka.

He hui kā mākou e hilinaʻi nui nei i ka ʻepekema a me ka ʻenekinia. A i ʻole i hilinaʻi nui ʻia i ka wā i hoʻolaha ai ʻo Kennedy (ka Pelekikena 35 o ʻAmelika Hui Pū ʻIa) i loko o nā makahiki he ʻumi e noho mākou ma ka mahina. Nui nā hoʻolālā maikaʻi e hoʻohana i hoʻokahi. Hiki iā ʻoe ke hāʻawi kālā i ka hale pule a pule. A i ʻole, hoʻolilo kālā ma nā psychics. Hiki i nā kānaka ke hana i ko lākou ala i ka Moon ma o nā ʻano hana ʻē aʻe, e like me ka pyramidology (pseudoscience). E like me, e kūkulu kākou i nā pyramid e hoʻohana i ko lākou ikaika a hoʻokō i kahi pahuhopu. Akā ʻaʻole. Ke hilinaʻi nei mākou i ka ʻenehana kahiko maikaʻi. ʻAʻole mākou i ʻike ʻo ka ʻike a mākou i manaʻo ai ua ʻike mākou, manaʻo wale mākou ua ʻike. Akā, pōʻino, ua hiki mākou i ka mahina a i hope. Ke hilinaʻi nei mākou i ka holomua ma mua o ka ʻepekema ponoʻī. Akā ʻaʻohe mea o kēia mea. Loaʻa iā mākou nā mea nui e hana ai ma mua o ka ʻenekinia. ʻO kēia ka pono o ke kanaka.

A i kēia lā he nui nā kumuhana e kūkākūkā ai, e like me nā UFO a me nā mea like. ʻAʻole wau e manaʻo nei ua hoʻokō ka CIA i ka pepehi kanaka iā Kennedy a i ʻole ke aupuni i pana i Oklahoma e hoʻoweliweli. Akā, paʻa mau ka poʻe i ko lākou mau manaʻoʻiʻo ma mua o nā hōʻike. ʻIke mākou i kēia i nā manawa a pau. I kēia manawa, ʻaʻole maʻalahi ka koho ʻana i ka mea i manaʻo ʻia he mea hoʻopunipuni.

He mau puke kaʻu e pili ana i ke kumuhana o ka hoʻokaʻawale ʻana i ka ʻepekema maoli mai ka pseudoscience. Ua ola mākou i kekahi mau manaʻo pseudoscientific hou. Ua ʻike mākou i ke ʻano o ka "polywater" (kahi ʻano polymerized hypothetical o ka wai i hiki ke hana ʻia ma muli o nā ʻano o ka ʻili a loaʻa nā waiwai kino kū hoʻokahi). Ua ʻike mākou i ka fusion nuklea anu (ka mea i manaʻo ʻia e hiki ke hoʻokō i kahi hopena nuklea fusion i nā ʻōnaehana kemika me ka ʻole o ka wela nui o ka mea hana). Nui nā koi i ka ʻepekema, akā he hapa liʻiliʻi wale nō ia. Hiki ke hāʻawi ʻia kahi laʻana me ka naʻauao artificial. Lohe mau ʻoe e pili ana i nā mīkini me ka naʻauao artificial e hana ai, akā ʻaʻole ʻoe e ʻike i nā hopena. Akā ʻaʻole hiki i kekahi ke hōʻoiaʻiʻo ʻaʻole hiki kēia i ka lā ʻapōpō. No koʻu hoʻopaʻapaʻa ʻana ʻaʻole hiki i kekahi ke hōʻoia i kekahi mea ma ka ʻepekema, pono wau e haʻi ʻaʻole hiki iaʻu ke hōʻoia i kekahi mea iaʻu iho. ʻAʻole hiki iaʻu ke hōʻoiaʻiʻo ʻaʻole hiki iaʻu ke hōʻoia i kekahi mea. He pōʻai ʻino, ʻaʻole anei?

Aia nā kapu nui loa a mākou e ʻike ʻole ai i ka manaʻoʻiʻo i kekahi mea, akā pono mākou e hoʻoholo me ia. ʻO ka mea kūikawā, me ka mea aʻu i haʻi hou aku ai iā ʻoe i nā manawa he nui, a ua hōʻike wau i ka hoʻohana ʻana i ka laʻana o ka hoʻololi wikiwiki Fourier (he algorithm no ka helu kamepiula o ka hoʻololi Fourier discrete, i hoʻohana nui ʻia no ka hoʻoili ʻana i ka hōʻailona a me ka nānā ʻana i ka ʻikepili). . E kala mai iaʻu i koʻu noʻonoʻo ʻole, akā ʻo wau ka mea mua i hoʻopuka i nā manaʻo ma ka pono. Ua hiki iaʻu i ka hopena o ka "Butterfly" (kahi pae haʻahaʻa i ka wikiwiki Fourier transform algorithm) he mea hiki ʻole ke hoʻokō me nā lako i loaʻa iaʻu (programmable calculators). Ma hope mai, hoʻomanaʻo wau ua loli ka ʻenehana, a aia nā kamepiula kūikawā e hiki ai iaʻu ke hoʻopau i ka hoʻokō ʻana i ka algorithm. Ke loli mau nei ko mākou hiki a me ka ʻike. ʻO ka mea hiki ʻole iā mākou ke hana i kēia lā, hiki iā mākou ke hana i ka lā ʻapōpō, akā i ka manawa like, inā ʻoe e nānā pono, ʻaʻohe "ʻapōpō". ʻElua ʻano kūlana.

E hoʻi kāua i ka ʻepekema. Ma kahi o ʻekolu haneli mau makahiki, mai 1700 a hiki i kēia lā, ua hoʻomaka ka ʻepekema e hoʻomalu a hoʻomohala ma nā ʻano he nui. I kēia lā, ʻo ke kumu o ka ʻepekema ʻo ia ka mea i kapa ʻia he reductionism (ke kumu metodological e like me ka mea e wehewehe pono ai i nā hanana paʻakikī me ka hoʻohana ʻana i nā kānāwai i loaʻa i nā hanana maʻalahi). Hiki iaʻu ke hoʻokaʻawale i ke kino i mau ʻāpana, hoʻopaʻa i nā ʻāpana a huki i nā hopena e pili ana i ka holoʻokoʻa. Ua ʻōlelo mua au ua ʻōlelo ka hapa nui o ka poʻe haipule, "ʻAʻole hiki iā ʻoe ke hoʻokaʻawale i ke Akua i mau ʻāpana, e aʻo i kāna mau ʻāpana a hoʻomaopopo i ke Akua." A ua ʻōlelo ka poʻe kākoʻo o Gestalt psychology: "Pono ʻoe e nānā i ke ʻano holoʻokoʻa. ʻAʻole hiki iā ʻoe ke hoʻokaʻawale i kahi holoʻokoʻa i ʻāpana me ka luku ʻole. ʻOi aku ka nui ma mua o ka huina o kāna mau ʻāpana."

Inā pili hoʻokahi kānāwai i kekahi lālā o ka ʻepekema, a laila ʻaʻole pono ke kānāwai hoʻokahi ma kahi māhele o ka lālā hoʻokahi. ʻAʻole pili nā kaʻa huila ʻekolu ma nā wahi he nui.

No laila, pono mākou e noʻonoʻo i ka nīnau: "Hiki ke noʻonoʻo ʻia ka ʻepekema holoʻokoʻa e pau loa ma ka hilinaʻi ʻana i nā hopena i loaʻa mai nā kahua nui?"

Ua noʻonoʻo ka poʻe Helene kahiko i nā manaʻo e like me ka Truth, Beauty and Justice. Ua hoʻohui anei ka ʻepekema i kekahi mea i kēia mau manaʻo i kēia manawa a pau? ʻAʻole. ʻAʻohe o mākou ʻike i kēia mau manaʻo ma mua o ka poʻe Helene kahiko.

Ua haʻalele ka Mōʻī o Babulona ʻo Hammurabi (ua noho aliʻi ʻo ia ma kahi o 1793-1750 BC) i kahi Code of Laws i loaʻa kēlā kānāwai, no ka laʻana, "He maka no ka maka, he niho no ka niho." He hoʻāʻo kēia e hoʻopuka i ka Justice ma nā ʻōlelo. Inā mākou e hoʻohālikelike me ka mea e hana nei i kēia manawa ma Los Angeles (ʻo ia hoʻi ka haunaele lāhui o 1992), a laila ʻaʻole kēia he kaulike, akā he kānāwai. ʻAʻole hiki iā mākou ke hoʻokomo i ka Justice ma nā huaʻōlelo, a ʻo ka hoʻāʻo ʻana e hana pēlā e hāʻawi wale i ke kānāwai. ʻAʻole hiki iā mākou ke hoʻokomo i ka ʻoiaʻiʻo i nā huaʻōlelo. Ke ho'āʻo nei au e hana i kēia ma kēia mau haʻi'ōlelo, akā ʻoiaʻiʻo, ʻaʻole hiki iaʻu ke hana. Ua like ia me Nani. Ua ʻōlelo ʻo John Keats (he haku mele o ka hanauna ʻōpio o English Romantics): "ʻO ka nani ka ʻoiaʻiʻo, a ʻo ka ʻoiaʻiʻo ka nani, a ʻo ia wale nō ka mea hiki iā ʻoe ke ʻike a me nā mea a pau āu e ʻike ai." Ua ʻike ka mea haku mele i ka ʻoiaʻiʻo a me ka nani ma ke ʻano hoʻokahi. Mai ka ʻike ʻepekema, ʻaʻole ʻoluʻolu ka wehewehe ʻana. Akā ʻaʻole hāʻawi ka ʻepekema i kahi pane maopopo.

Makemake au e hōʻuluʻulu i ka haʻiʻōlelo ma mua o ko kāua hele ʻana i nā ala kaʻawale. ʻAʻole hoʻopuka wale ka ʻepekema i kekahi ʻike a mākou e makemake ai. ʻO kā mākou pilikia kumu, makemake mākou e loaʻa kekahi mau ʻoiaʻiʻo, no laila ke manaʻo nei mākou ua loaʻa iā mākou. ʻO ka noʻonoʻo makemake ka hōʻino nui o ke kanaka. Ua ʻike au i kēia hana i koʻu hana ʻana ma Bell Labs. He kūpono ka manaʻo, hāʻawi ka noiʻi i kekahi kākoʻo, akā ʻaʻole hāʻawi ka noiʻi hou i kahi hōʻike hou no ia. Ke hoʻomaka nei nā ʻepekema e noʻonoʻo hiki iā lākou ke hana me ka ʻole o nā hōʻike hou o ka manaʻo. A hoʻomaka lākou e manaʻoʻiʻo iā lākou. A ʻo ka mea nui, ʻoi aku ka nui o kā lākou kamaʻilio ʻana, a ʻo ka makemake e manaʻoʻiʻo lākou me ko lākou ikaika a pau he ʻoiaʻiʻo kā lākou e ʻōlelo nei. He ʻano ʻano kēia o nā kānaka a pau. Hāʻawi ʻoe i ka makemake e manaʻoʻiʻo. No kou makemake e manaʻoʻiʻo e loaʻa ana iā ʻoe ka ʻoiaʻiʻo, e hoʻopau ʻoe i ka loaʻa mau.

ʻAʻole nui ka ʻōlelo ʻepekema e pili ana i nā mea āu e mālama ai. ʻAʻole pili kēia i ka ʻoiaʻiʻo, nani a me ka pono, akā i nā mea ʻē aʻe a pau. Hiki i ka ʻepekema ke hana nui. I nehinei aʻu i heluhelu ai ua loaʻa i kekahi mau geneticists kekahi mau hopena mai kā lākou noiʻi ʻana, ʻoiai i ka manawa like, ua loaʻa i nā geneticists nā hopena e hōʻole i nā hopena o ka mua.

I kēia manawa, he mau ʻōlelo e pili ana i kēia papa. Kāhea ʻia ka haʻiʻōlelo hope "ʻO ʻoe a me kāu noiʻi", akā, ʻoi aku ka maikaʻi e kapa wale ʻia ʻo "ʻO ʻoe a me kou ola." Makemake au e hāʻawi i ka haʻiʻōlelo "ʻO ʻoe a me kāu noiʻi" no ka mea ua hala au i nā makahiki he nui i ke aʻo ʻana i kēia kumuhana. A ma ke ʻano, ʻo kēia haʻiʻōlelo ka hōʻuluʻulu o ka papa holoʻokoʻa. He hoʻāʻo kēia e wehewehe i ke ala maikaʻi loa e hana ai ʻoe ma hope. Ua hiki iaʻu i kēia mau hopena ma oʻu iho; ʻaʻohe mea i haʻi mai iaʻu e pili ana iā lākou. A i ka hopena, ma hope o kaʻu haʻi ʻana iā ʻoe i nā mea a pau e pono ai ʻoe e hana a pehea e hana ai, hiki iā ʻoe ke hana i nā mea ʻoi aku ka maikaʻi ma mua o kaʻu. Aloha!

Mahalo iā Tilek Samiev no ka unuhi.

ʻO wai ka mea makemake e kōkua unuhi, hoʻonohonoho a hoʻopuka ʻia o ka puke - kākau ma PM a i ʻole leka uila [pale ʻia ka leka uila]

Ma ke ala, ua hoʻomaka pū mākou i ka unuhi ʻana o kekahi puke maikaʻi - "The Dream Machine: The Story of the Computer Revolution")

Ma loko o ka puke a me nā mokuna unuhiKauwehe

  1. Intro to The Art of Doing Science and Engineering: Learning to Learn (Malaki 28, 1995) Unuhi: Mokuna 1
  2. "Nā Kumu o ka Digital (Discrete) Revolution" (Malaki 30, 1995) Mokuna 2. Nā kumu o ka hoʻololi kikohoʻe (discrete).
  3. "History of Computers - Hardware" (Malaki 31, 1995) Mokuna 3. Moolelo o na Kamepiula - Lako
  4. "History of Computers - Software" (ʻApelila 4, 1995) Mokuna 4. Moʻolelo o nā kamepiula - lako polokalamu
  5. "History of Computers - Applications" (ʻApelila 6, 1995) Mokuna 5: Moʻolelo o nā Komepiula - Nā Hoʻohana Maʻamau
  6. "Naʻauao Artificial - Māhele I" (ʻApelila 7, 1995) Mokuna 6. Naʻauao hana - 1
  7. "Naʻauao Artificial - Māhele II" (ʻApelila 11, 1995) Mokuna 7. Naauao Hana - II
  8. "Naʻauao Artificial III" (ʻApelila 13, 1995) Mokuna 8. Naauao-III
  9. "N-Dimensional Space" (ʻApelila 14, 1995) Mokuna 9. N-dimensional space
  10. "Coding Theory - The Representation of Information, Part I" (ʻApelila 18, 1995) Mokuna 10. Ka Manawa Coding - I
  11. "Coding Theory - The Representation of Information, Part II" (ʻApelila 20, 1995) Mokuna 11. Ka Manawa Coding - II
  12. "Nā Palapala Hoʻoponopono Haʻihaʻi" (ʻApelila 21, 1995) Mokuna 12. Nā Code hoʻoponopono hewa
  13. "Ka Manaʻo ʻIke" (ʻApelila 25, 1995) Pau, hoʻopuka wale ʻoe
  14. "Nā kānana kikohoʻe, Māhele I" (ʻApelila 27, 1995) Mokuna 14. Nā kānana kikohoʻe - 1
  15. "Nā kānana kikohoʻe, Mahele II" (ʻApelila 28, 1995) Mokuna 15. Nā kānana kikohoʻe - 2
  16. "Nā kānana kikohoʻe, Māhele III" (Mei 2, 1995) Mokuna 16. Nā kānana kikohoʻe - 3
  17. "Nā kānana kikohoʻe, Mahele IV" (Mei 4, 1995) Mokuna 17. Nā kānana kikohoʻe - IV
  18. "Simulation, Māhele I" (Mei 5, 1995) Mokuna 18. Hoolikelike - I
  19. "Simulation, Part II" (Mei 9, 1995) Mokuna 19. Hoolikelike - II
  20. "Simulation, Part III" (Mei 11, 1995) Mokuna 20. Hoolikelike - III
  21. "Fiber Optics" (Mei 12, 1995) Mokuna 21. Fiber optics
  22. "Aʻoaʻo kōkua kamepiula" (Mei 16, 1995) Mokuna 22: ʻO ke aʻo kōkua kamepiula (CAI)
  23. "Mathematics" (Mei 18, 1995) Mokuna 23. Heluhelu
  24. "Quantum Mechanics" (Mei 19, 1995) Mokuna 24. Mechanics Quantum
  25. "Creativity" (Mei 23, 1995). Unuhi: Mokuna 25. Ka hana hooulu ana
  26. "Nā Kauka" (Mei 25, 1995) Mokuna 26. Ka poe akamai
  27. "ʻIkepili hikiʻole ke hilinaʻi" (Mei 26, 1995) Mokuna 27. ʻIke hilinaʻi ʻole
  28. "Systems Engineering" (Mei 30, 1995) Mokuna 28. 'Enekinia Pūnaehana
  29. "Loaʻa iā ʻoe ka mea āu e ana" (Iune 1, 1995) Mokuna 29: Loaʻa iā ʻoe ka mea āu e ana
  30. "Pehea mākou e ʻike ai i kā mākou ʻike" (Iune 2, 1995) unuhi i loko o 10 mau ʻāpana minuke
  31. Hamming, “You and Your Research” (Iune 6, 1995). Unuhi: ʻO ʻoe a me kāu hana

ʻO wai ka mea makemake e kōkua unuhi, hoʻonohonoho a hoʻopuka ʻia o ka puke - kākau ma PM a i ʻole leka uila [pale ʻia ka leka uila]

Source: www.habr.com

Pākuʻi i ka manaʻo hoʻopuka