He ʻumikūmālima lā i hala aku nei, ua waiho mai kekahi o ka poʻe heluhelu o kēia mau loiloi haʻahaʻa iā mākou i loko o nā manaʻo i kekahi mau ʻōlelo a mākou i lohe pinepine ai. I ka hoʻomaka ʻana o ka manaʻo, e like me nā manawa ʻē aʻe, pane mākou ma kahi hoʻokahi i hana ʻia ai. Eia naʻe, i ka noʻonoʻo ʻana me ka lohi iki, ua manaʻo ʻo ia he mea hoihoi paha ka hoʻolaʻa ʻana i kahi ʻatikala holoʻokoʻa i kēia mau ʻōlelo, ʻoiai he nui ka poʻe, e like me kā lākou mau ʻōlelo, manaʻo like lākou, a manaʻoʻiʻo maoli lākou he hewa. ʻIke ʻoe, ʻo nā manaʻo e like me 'mai koʻu haʻalele ʻana i ke kula ʻaʻole au i hoʻohana i ka makemakika' a i ʻole 'mea makemakika iaʻu'. ʻAʻole i manaʻo ʻia nā laina ma hope e hoʻohuli i kekahi. Eia naʻe, ke manaʻo nei au he mau loiloi kūpono lākou ma ke ʻano he kāne a mākou e noʻonoʻo liʻiliʻi ai e pili ana i ka pololei ʻole o nā 'kaʻao kūlanakauhale' (e ʻōlelo wau, i kēia manawa aia ka anglicism, 'fakes') o ke ʻano i hōʻike ʻia. Ua maopopo iaʻu ua wehewehe maikaʻi ʻia lākou, a me ka manaʻo ʻole, a ʻo ia ke kumu i manaʻo ai au he kuleana ko mākou (ʻo ka poʻe makemakika, ʻepekema, kumu a i ʻole technicians) e hoʻāʻo e wehewehe iā lākou, a i ʻole e hāʻawi i nā kumu o ko mākou kūʻē ʻana. Eia kekahi, e hoʻāʻo wau e hāʻawi i nā hiʻohiʻona paʻa, manaʻo wau ua kūpono ia me ka hōʻike ʻana, ʻo ia ka manaʻo hope o kēia mau noʻonoʻo a mākou e lawe mai nei i kēlā me kēia pule. E kāhea au i ka poʻe a pau i aʻo a hoʻopau i kahi ʻoihana kulanui ma ia aʻo matematika; i kēia manawa ke kēkelē laepua ma ka makemakika, ma mua ke kēkelē laepua ma ka makemakika. He wehewehe ākea loa ia, ʻike wau, no ka mea, aia ka poʻe e noʻonoʻo i ka poʻe makemakika wale nō ka poʻe e noiʻi i ka makemakika, ʻaʻole ka poʻe i hoʻolaʻa iā lākou iho i ke aʻo ʻana, outreach, etc. ʻOiaʻiʻo, ʻo ka mea mua ka poʻe i ʻoi aku ka legitimacy e hoʻopili i kēlā helu, no ka mea, hoʻāʻo lākou e holomua i ka mea me kā lākou hana. Akā, ʻoiai e kamaʻilio wau e pili ana i ka hoʻomaʻamaʻa i loaʻa, ma kēia ʻano ke ʻimi nei au e hana i ka hoʻonui i hōʻike ʻia. He aha ka mea akeakamai āu i ʻike ai ʻaʻole i hoʻomohala i ka loiloi a i ʻole ka makemakika? No ka hoʻomaka ʻana ma kekahi wahi, ʻōlelo ʻo ia ʻaʻole hiki ke loaʻa nā mea makemakika he nui ʻaʻole i koi i ka ʻikepili a me ka mōʻaukala o ke akeakamai ma ke ʻano he aʻo koʻikoʻi i loko o ka haʻawina o kēlā me kēia kamaʻāina me ka hoʻonaʻauao kiʻekiʻe, o kēlā me kēia ʻano. A e hoʻopaʻapaʻa wau iā ia me kahi nīnau: ʻO wai ke akeakamai āu i ʻike ʻole ai i hoʻomohala ʻole i ka loiloi a i ʻole ka makemakika ma kekahi ʻano? Pono anei e hana i ka papa inoa o ka poe akeakamai ole makemakika? E ʻike ʻo Háganla i kahi helu haʻahaʻa haʻahaʻa ma mua o ka hoʻonohonoho ʻana o nā ʻepekema āpau. A maopopo ke kumu: noʻonoʻo ka makemakika ʻaʻole wale i nā ʻano loea e pili ana i ka helu ʻana (he ʻāpana wale nō ia, kahi ʻāpana a mākou e ʻōlelo ai me nā huaʻōlelo o kā mākou kumuhana, a me kahi ʻāpana o nā koina koʻikoʻi ma lalo o ka piha piha), akā. e hahai pū i ka wehewehe a me ka hōʻike ʻana o kekahi pilikia, me ka hoʻohana ʻana i nā ʻōlelo a me nā noʻonoʻo i kūpono loa i ke ʻano o ka pilikia. ʻAʻole ʻimi wale ka makemakika i ka hoʻoholo paʻa, ʻoiai ke aʻo ʻia nei mākou i ko mākou ola kula, akā ma luna o nā manaʻo a pau, ka nānā ʻana, ka hoʻomohala ʻana i nā ʻenehana; Ma hope o ka loaʻa ʻana o kēlā mau ʻenehana, e kūʻai ʻia ka ʻāpana kiko o ka hoʻonā, ʻaʻole ia e lilo i ʻāpana mechanical loa o ka hopena hope. E like me kaʻu e ʻōlelo nei, ʻo kēia wale nō ka hapa hope, ʻo ka ʻaoʻao ʻenehana, ka mea nui loa i ka ʻoiaʻiʻo, no ka mea, ʻo ka mea nui ka hoʻokaʻawale ʻana, e ʻike i ka pehea. Loaʻa iā ʻoe kahi 'kiʻi' o ka mea i manaʻo ʻia ʻo ka 'philosopher mua', ʻo Thales o Miletus, ʻo ia hoʻi, e like me kāu e ʻike ai, ua kaulana nō hoʻi no kahi theorem i hiki ai i nā kānaka āpau ke hana i nā mea e like me ke ana ʻana i nā mamao mai nā wahi hiki ʻole ke hiki. ʻAʻole hiki iā ʻoe ke haumia mai ka home ʻOiai he ʻoiaʻiʻo ia, ʻoiai ke wehe nei ko mākou mau maka i kēlā me kēia kakahiaka, ke hoʻohana nei mākou i ka makemakika. Hiki iā mākou ke kanu i ka pāʻani i kapa ʻia 'Mai hana i kāu mea e pono ai me ka makemakika e hiki ai ke hana'. ʻOiaʻiʻo, ala lākou i ka wā e ʻōlelo ai ko lākou kino iā lākou, no ka mea, pāpā ʻia ka uaki. E poina e pili ana i nā papa, kelepona paʻa lima, kamepiula, televise, microwaves, kapuahi, mea wela, nā mīkini holoi, a me nā mea ʻē aʻe, ʻo kēlā me kēia mea i loaʻa kahi kaapuni liʻiliʻi liʻiliʻi, e like me kou ʻike, e hoʻolohe ana i kahi algorithm matematika kikoʻī. No ke kumu hoʻokahi, ʻaʻole hiki iā ʻoe ke hoʻohana i ka hoʻololi kukui, no laila inā ʻo kou home i loko o ka hale, e ʻimi i kahi kukui maikaʻi me kahi pahu kukui i hoʻokomo ʻia e hiki ai ke hoʻohana me ka ʻoluʻolu, no ka mea, he kukui uila, ʻaʻohe mea ʻē aʻe. Pono ʻoe e loaʻa kekahi mau bākeke wai maikaʻi e ninini ai i ka lua no ka mea ʻaʻole hiki iā mākou ke holoi i ke kaulahao a wehe paha i kahi paipu no ka mea ʻo ka hoʻolālā ʻana o nā paipu, kā lākou hana, pono i nā helu a me nā ana i hana ʻia e kekahi. ʻOiaʻiʻo, e hoʻomākaukau i nā lau lāʻau e hoʻomaʻemaʻe iā ʻoe iho e mālama i ka ʻāpana, no ka mea, aia kekahi ʻano pepa i nā ana a me nā ana ʻaʻole hiki iā ʻoe ke hoʻohana, ʻaʻole e haʻi i nā lanai o nā mea o kāu haku mele (e pili ana kēia i kāu mau lāʻau a me nā lāʻau lapaʻau ʻaʻole hiki iā ia ke inu). . No ke aha he cylindrical ka pepa toilet roll a ʻaʻole prismatic, spherical, etc.? ʻAe, kala mai, ʻaʻole hiki iā mākou ke hoʻohana i nā huaʻōlelo makemakika. ʻAʻole ʻimi wale ka makemakika i ka hoʻonā paʻa, akā aia ma luna o nā manaʻo āpau, ka nānā ʻana, ka hoʻomohala ʻana i nā ʻenehana. Ma keʻano like, pono mākou e olohelohe loa ma ke alanui, no ka mea,ʻaʻole wale keʻano o nā lole. Pono lākou e hana e like me ka nui kikoʻī, a ua hana ʻia me nā ʻano me nā ana kūpono. ʻAʻole pono nā ʻāpana kālā, nā bila (Ua noʻonoʻo paha ʻoe no ke aha mākou e hoʻohana ai i nā helu 1, 2 a me 5 a me kā lākou mau paʻi, e like me ka maka o ke kālā? No ke aha ʻaʻole 1, 3, 7, no ka laʻana, a i ʻole nā waiwai ʻē aʻe?), nā kāleka hōʻaiʻē a i ʻole kekahi ʻano ʻē aʻe (ʻike ʻoe, no ka barcodes, ka PIN a me nā mea ʻē aʻe), ʻaʻole lākou e nānā i nā alapine kaʻa a me nā ala ʻē aʻe. o ka lawe ʻana (ua hoʻokumu ʻia nā GPS ma kahi theorem intersection sphere). ʻIke ʻo ia ʻaʻole i loaʻa nā helu. A inā ʻike ʻoe iā lākou, ʻaʻole ʻoe maopopo i kā lākou kauoha (Nani ka maikaʻi 'The Book of Sand' na Jorge Luis Borges, ma ke ala! manuscript, no ka mea, ua hoʻolālā ʻia nā fonts me nā hana makemakika a me nā ʻano interpolation kikoʻī; e hoʻomanaʻo i nā lula o kēia pāʻani, mai hoʻohana i kekahi mea me ka makemakika ma luna). pono lakou e hele ma na wahi a pau a lakou e hele ai, aole nae ma ke ala pokole loa, no ka mea, ma ke kumu hea i hooholoia ai ka mea pokole loa? Eia kekahi, he aha ke ʻano o ka 'pōkole'? He mea maopopo loa, aole e hiki ia kakou ke ai i ka mea i loaa ole ma ke ano o ka makemakika, nolaila, e hookeai i ke ola kino, a e hele kakou i ke kula, e ohi i na hua hihiu, no ka mea, ke hopohopo nei au o kakou. ʻAʻole hiki ke hopu i kekahi mea i hoʻokaʻawale ʻia ka māla, kahi ʻano o ka irrigation, kahi hoʻonohonoho o nā hua, etc. Ma ke kiʻi, ka mea nāna i hoʻolālā i ka leka 'a' ma ka font Helvetica, me nā pihi Bezier. No ka hoʻohana ʻana i kēia ʻano hana, ma waho aʻe o nā kiko kahi e hele ai ka hōʻike hope (nodes), aia nā kiko mana pololei e hōʻike ana i ka piʻi o kēlā me kēia pihi. Sciences vs. Humanities No nā kumu maopopo, ʻaʻole hiki iā mākou ke ʻike i nā mea āpau e pili ana i nā mea āpau ma kahi ala pau loa. He ākea ka ʻike kanaka e pono ai mākou e ʻike. Eia naʻe, ʻo ka loaʻa ʻana o ka moʻomeheu, ʻike i ka mea maʻamau o nā mea āpau, ʻoi aku ka maikaʻi a me ka waiwai. ʻAʻole maopopo iaʻu i ka manawa o ka mōʻaukala i hoʻoholo ai kekahi e hoʻokaʻawale i waena o ka ʻepekema a me ke kanaka, a i ʻole ʻo wai ka lucid 'genius', akā ʻoiaʻiʻo ua hana ʻo ia i kekahi o nā mea lapuwale nui loa i loaʻa a e mau ana. ʻO ke kanaka he pūʻulu o nā ʻano he nui, a ʻaʻole hiki ke hoʻokaʻawale ʻia. Pono a hoʻohana i nā ʻano ʻike āpau. ʻAʻole 'o nā leka', ʻaʻole hoʻi 'o ka ʻepekema'. ʻO ia ʻelua. ʻO ke kumu kaulana o 'He mea kākau wau' he himeni ia i ka maʻalahi, ka lapuwale, ka hemahema. Inā ʻike wau iaʻu iho i kahi hui kahi e kamaʻilio ai lākou e pili ana i 'He moeʻuhane ke ola', pehea wau e waiho ʻia ai e ʻōlelo ana "ʻAʻole wau i manaʻo, no ka mea he ʻepekema wau"? A i ʻole inā pane ʻo ia, "He maikaʻi kēlā kiʻiʻoniʻoni Quevedo." ʻAʻole kūpono ia ma ke ʻano he hoʻopaʻapaʻa. ʻOi aku ka naʻauao a me ke akahele ke noho hāmau, a i ʻole ka ʻae ʻana i ka naʻaupō, ma mua o ka ʻōlelo lapuwale. ʻAʻole mākou e manaʻo ka poʻe makemakika, nā ʻepekema, e hoʻoponopono nā mea a pau i nā hoʻohālikelike ʻokoʻa, a i ʻole e hoʻoponopono i nā hopena oxidation-reduction (ma waena o nā mea ʻē aʻe, no ka mea, inā ʻaʻole, he mea nui mākou). Akā ʻae, e like me ka ʻōlelo a ka puke ʻōlelo Lázaro Carreter a mākou i aʻo ai, "hiki ke hoʻololi i ka papa inoa", me ka manaʻo e hiki ke lohe a kamaʻilio maikaʻi me kahi polopeka sociology a me kahi limahana hoʻomaʻemaʻe. A ʻoiaʻiʻo me ka ʻole o ka pedantry a i ʻole ka noʻonoʻo ʻana i kekona he ʻoi aku ka maikaʻi o kekahi mau hana ma mua o nā mea ʻē aʻe. Ua kūpono like lākou a pau no ka mea pono loa lākou a pau. ʻO wau iho, no ka hui puke, mālama au i nā kiʻiʻoniʻoni hou, mālama au i ka ʻike o ka nūhou i kēlā me kēia lā (kekahi mea hoihoi iaʻu), a he kanaka makemakika wau. A ʻo ke kamaʻilio ʻana me kaʻu mau hoa papa i kekahi manawa no ka makemakika a he nui nā mea ʻē aʻe e pili ana i nā kumuhana 'humanities'. ʻAʻole hoʻowahāwahā ka poʻe makemakika, ʻaʻole hoʻi i hoʻolaʻa ʻia i ka 'ʻepekema' i ka 'humanities'. E ʻae i ka kūlike. ʻOiaʻiʻo, ʻo ka 'lilo ʻana i kanaka', ka mea i hōʻike ʻia e ka mea heluhelu nāna i hoʻoikaika i kēia mau laina, ʻaʻole ia wale nō i kekahi aʻo a i ʻole kekahi. Akā, ʻo ia ka hoʻoilina o nā ʻike āpau a mākou e ulu nei, ʻoi aku ka maikaʻi a i ʻole ka hewa, i ko mākou noho ʻana ma kēia honua, ma ke ala, ma ke ala e alakaʻi ai, e pau ma mua o ka lilo ʻana o ka lā i hoku nunui ʻulaʻula. Ke hoʻomanaʻo nei kēia ʻōlelo hope iaʻu i ʻelua mau manaʻo kupanaha hou mai nā makahiki kanaono o ke kenekulia i hala, ʻaʻole wau i ʻike inā he moʻolelo ʻepekema hou lākou, a aia nō hoʻi ʻehiku mau mana kiʻiʻoniʻoni: 'Planet of the Apes', na Pierre Boulle, a me 'E Hana i lumi, e hana lumi!' na Harry Harrison, me kekahi mau mea makemakika pu kekahi. No ka mea, e like me kaʻu e ʻōlelo nei, pili nā mea āpau a ʻaʻole ʻokoʻa nā ʻepekema a me nā kanaka. Nui nā laʻana ma nā ʻano hana like ʻole, a me nā mea a mākou e manaʻo ai i nā palapala kahiko a me nā mea kākau, i kēia manawa a i hala. Hiki iā mākou ke ho'ōki i ka hoʻolohe ʻana i ka ʻōlelo ʻana a kekahi 'He kanaka ʻepekema au' a/a i ʻole paha? Pehea ka lōʻihi o ko lākou hilinaʻi ʻana iaʻu, ʻaʻohe kānalua, e nā makamaka heluhelu. He polopeka ʻo Alfonso Jesús Población Sáez ma ke Kulanui o Valladolid a he lālā o ka Dissemination Commission o ka Royal Spanish Mathematical Society (RSME).
