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.
E hoʻomau 'ia…
ʻO wai ka mea makemake e kōkua - 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 - )
Ke ʻimi nui nei mākou ka poe kokua i ka unuhi . (hoʻololi no 10 mau minuke, ua lawe mua ʻia nā 20 mua)
Ma loko o ka puke a me nā mokuna unuhi
- Intro to The Art of Doing Science and Engineering: Learning to Learn (Malaki 28, 1995)
- "Nā Kumu o ka Digital (Discrete) Revolution" (Malaki 30, 1995)
- "History of Computers - Hardware" (Malaki 31, 1995)
- "History of Computers - Software" (ʻApelila 4, 1995)
- "History of Computers - Applications" (ʻApelila 6, 1995)
- "Naʻauao Artificial - Māhele I" (ʻApelila 7, 1995)
- "Naʻauao Artificial - Māhele II" (ʻApelila 11, 1995)
- "Naʻauao Artificial III" (ʻApelila 13, 1995)
- "N-Dimensional Space" (ʻApelila 14, 1995)
- "Coding Theory - The Representation of Information, Part I" (ʻApelila 18, 1995)
- "Coding Theory - The Representation of Information, Part II" (ʻApelila 20, 1995)
- "Nā Palapala Hoʻoponopono Haʻihaʻi" (ʻApelila 21, 1995)
- "Ka Manaʻo ʻIke" (ʻApelila 25, 1995) Pau, hoʻopuka wale ʻoe
- "Nā kānana kikohoʻe, Māhele I" (ʻApelila 27, 1995)
- "Nā kānana kikohoʻe, Mahele II" (ʻApelila 28, 1995)
- "Nā kānana kikohoʻe, Māhele III" (Mei 2, 1995)
- "Nā kānana kikohoʻe, Mahele IV" (Mei 4, 1995)
- "Simulation, Māhele I" (Mei 5, 1995)
- "Simulation, Part II" (Mei 9, 1995)
- "Simulation, Part III" (Mei 11, 1995)
- "Fiber Optics" (Mei 12, 1995)
- "Aʻoaʻo kōkua kamepiula" (Mei 16, 1995)
- "Mathematics" (Mei 18, 1995)
- "Quantum Mechanics" (Mei 19, 1995)
- "Creativity" (Mei 23, 1995). Unuhi:
- "Nā Kauka" (Mei 25, 1995)
- "ʻIkepili hikiʻole ke hilinaʻi" (Mei 26, 1995)
- "Systems Engineering" (Mei 30, 1995)
- "Loaʻa iā ʻoe ka mea āu e ana" (Iune 1, 1995)
- (Iune 2, 1995) unuhi i loko o 10 mau ʻāpana minuke
- Hamming, “You and Your Research” (Iune 6, 1995).
ʻO wai ka mea makemake e kōkua - kākau ma PM a i ʻole leka uila [pale ʻia ka leka uila]
Source: www.habr.com