Ua noʻonoʻo paha ʻoe he aha ka infinito? I kēia lā e loaʻa iā ʻoe ka manawa kūpono e wehewehe i nā mea āpau e pili ana i kēia kumuhana hoihoi i loaʻa i nā poʻe he nui i ko lākou poʻo, mai haʻalele iā ia.

infinito

Infinito

He huaʻōlelo ia e hōʻike ana ʻaʻohe hopena, ʻaʻohe palena, aia mau loa a nui nā mea i loko o ke ao holoʻokoʻa a hiki i nā palena o ke Akua. No ka mea he nui ka infinito he manaʻo wale nō e ʻimi e wehewehe i kekahi mau mea lōʻihi loa. Eia kekahi e wehewehe ai i kahi mea i pau ʻole; Ua hoʻohana ʻia ka huaʻōlelo e wehewehe i nā mea āpau e pili ana i ke ao pau ʻole, ka hoʻomanawanui ʻana, ka pau ʻole a i ʻole nā ​​mea e hele i waho o kahi mamao loa.

Ma nā ʻano ʻepekema ʻē aʻe i wehewehe ʻia ai ma ke ʻano he kuhikuhi i nā mea a i ʻole nā ​​nui i palena ʻole a i ʻole hopena. Kū'ē loa ia i nā palena a i ka makemakika kūʻē i ka manawa palena, kaupalena ʻia; hoakaka ia me ka Hōʻailona Infinity ma kahi o ka laina pōʻai e loaʻa ʻole ai nā kiko e hoʻopili i kekahi i kekahi (∞).

ʻO ka hōʻailona

E pili ana i ka hōʻailona, ​​hiki iā mākou ke ʻōlelo ua hoʻopili ʻia me kahi ʻoiaʻiʻo hiki ke wehewehe inā he hoʻomaka a hopena paha ia, ʻaʻole hoʻoholo ʻia kahi e hoʻomaka ai a pehea e hoʻomaka ai, a me kahi e hoʻomaka ai; ʻo ka ʻoiaʻiʻo i kēia lā ua wehewehe ʻia i loko o nā ʻano hoʻopaʻi he nui a ʻike ʻia he ʻewalu wahaheʻe.

Ma nā wahi like ʻole

ʻO kekahi o nā ʻepekema i hoʻohana i ka huaʻōlelo ʻoi loa ka makemakika, i hui pū ʻia me ka ʻepekema kamepiula, astronomy, physics a me nā ʻano hoʻopaʻi ʻē aʻe, i hāʻawi iā ia i kahi inoa like loa. I ka māhele hoʻomana ua hoʻohālikelike ʻia ʻo ia me ke Akua a me nā akua mau, ʻaʻohe manawa a ʻaʻohe manawa; akā e nānā pehea e wehewehe ai kekahi mau ʻāpana iā lākou.

Mahope

Hoʻohana ʻia e wehewehe i kekahi mau hana i loaʻa ʻole nā ​​palena, hoʻohālikelike ke kumumanaʻo hoʻonohonoho iā ia me nā waiwai e hele ana mai ka liʻiliʻi o ka infinity a ʻoi aku ka infinity. Hoʻohana ʻia ia no nā helu maʻamau, e mālama pono ai i nā ʻoka; Pēlā nō, kikoʻī ka helu o ka infinity i ka ordinal helu mua a me nā helu kardinal palena ʻole.

I ka mōʻaukala

Ua hānai mua ʻia ka hōʻailona infinity i ka wā i hoʻokomo ʻia ai ka makemakika Pelekane ʻo John Wallis i kekahi o kāna hana ʻepekema. Hiki ke nānā ʻia kēia hōʻailona ma ke ʻano he makemakika puke i loko o ka puke Arithmetic Infinitorum i ka makahiki 1656; ma hope ua hōʻike ʻia ia i ke ʻano kiʻi a e like me kā mākou e ʻike nei i kēia lā ma ke ʻano he lemniscate (Kiʻi me ke kiʻi kaulike o 8) i kahi paʻi o 1894, i nā hana makemakika a ka ʻepekema Swiss ʻo Jacob Bernoulli. (1655-1705).

Eia nō naʻe, hiki ke hiki i kahi manaʻoʻiʻo, kahi i loaʻa ai ka hōʻailona mai nā ʻōuli i hoʻohana ʻia i ke kaʻina alchemy, a me kekahi mau ʻōlelo hoʻomana mai ka kenekulia 17. Ma laila ka inoa infinity e pili ana i kahi nahesa i ʻōwili ʻia i ke ʻano o 8 i kapa ʻia he uroboros.

Ua hoʻāʻo nā kumumanaʻo e pili i ka hōʻailona infinity me nā hanana akua a me nā hana kupua. Pēlā ka hihia o ke anilā i kapa ʻia ʻo Analema kahi i hōʻike ʻia ai ke kiʻi o ka infinity i ka lani me ka ʻole o kekahi ʻano wehewehe. manaʻo nā kānaka iā ia i nā ʻano keu ʻē aʻe a me nā mana kūlohelohe.

ʻO ke kumumanaʻo hou loa e pili ana i ka ʻepekema ʻepekema a me ke kiʻi ʻoniʻoni, kahi e hoʻopili ai i nā mea hana o nā superheroes Avenger a hōʻike i kahi mana gauntlet infinity, alakaʻi ʻia e kahi kanaka mana a ʻino hoʻi i kapa ʻia ʻo Tanos, ka mea e ʻimi nei e lawe i ka honua: ʻo ka ʻoiaʻiʻo he nui ka poʻe e manaʻo nei ua hoʻonohonoho maoli wau i kēia mea, kahi e hana nei i kahi fiction a wahaheʻe ʻole i loko o nā manaʻo.

IT

I kēia kahua o ka ʻenehana, pili ka helu a i ʻole infinity i kekahi mau ʻōlelo hoʻolālā. ʻAe kēia i ka hāʻawi ʻana i kahi waiwai kūikawā a kapa iā ia he infinity; ke kumu waiwai e like me ka mea i loaʻa mai ka hopena, ma hope o ka hana ʻana i kekahi hana makemakika waiwai ʻole a paʻa ʻole paha (nā huaʻōlelo e hoʻomaopopo wale ʻia e nā programmers).

Eia nō naʻe, ke nīnau mākou i kekahi o lākou, wehewehe lākou: ʻOi aku ka nui o nā hana paʻakikī, hiki ke hoʻonā akā e hoʻokō wale ʻia e nā loea papahana; no laila hoʻomohala wale ʻia lākou ma nā kamepiula, hoʻopaʻapaʻa pū lākou inā e hoʻokō ʻia lākou i nā ʻōlelo maʻalahi, ua kīloi nā hopena i kahi kuhi hewa.

Nā Metaphysics

ʻO kēia ʻāpana o ka pilina noʻonoʻo ʻuhane e wehewehe ana iā ia ma ke ʻano he "The infinite", ʻo ia hoʻi, hāʻawi ia i ka waiwai a me nā kumu. ʻAʻole ia e ʻae i nā kapu, he palena ʻole ʻole ia a no ka palena ʻole, no laila inā palena ʻole ʻia ʻaʻole hiki ke ʻae i kahi palena.

Hōʻike nā metaphysics e kau i nā palena ma ka palena pau e hōʻole i ka ʻoiaʻiʻo o ke ao; hōʻole loa i ka hoʻopaʻa ʻana. Ma kēiaʻano ʻo ka hōʻole ʻana i kahi palena ka hōʻole loa o kahi hōʻole; I nā huaʻōlelo ʻē aʻe, ʻo ka hōʻole ʻana i nā palena āpau e like ia me ka ʻoiaʻiʻo o ka hōʻoia a me ka paʻa loa. Manaʻo pū lākou he hiki ʻole ke hōʻole ʻia ka mea ʻaʻohe palena a no laila he aha nā mea āpau ma waho o ia, no laila ʻaʻohe.

ʻO kēia kumumanaʻo o ka palena pau ʻole i hōʻike ʻia e nā metaphysics, ʻoi aku a i ʻole liʻiliʻi paha i loko o kahi kikoʻī kikoʻī kikoʻī o nā mea a kēia manaʻo e hōʻike nei; no lākou ʻaʻole ia he hōʻailona wale nō akā kekahi mea ma laila a no laila, ʻaʻole lākou e hōʻole i kona ola ʻana no ka mea ʻaʻohe o lākou palena.

Philosophy

Wahi a Aristotle e hōʻole ka manaʻo palena pau i ka nui o kahi ola ʻole. I kēia ala ke kamaʻilio e pili ana palena i ka palena pau i nā manaʻo Aristotelian, kuhikuhi ia i kahi kino palena ʻole e kūʻē i ka noho ʻana o ka palena; Eia nō naʻe, ke ʻōlelo nei kekahi mau ʻano akeakamai ʻē aʻe he mana ka Infinite i ka mana i hiki ke hoʻohui ʻia i kekahi helu hou me ka ʻole o ka palena palena.

Manaʻo nā kānaka akeakamai ʻo ka infinity kahi hana a ke kanaka, a keu hoʻi i ka hoʻomaka ʻana o nā helu, hoʻoikaika ka exponentialite i ka waiwai o ka helu palena ʻole, a ʻoi aku ka nui o ke kumu e ʻimi a kahi e loaʻa ai nā kiʻi, e hoʻomau ia e ulu a hoʻonui. ; no ka mea ʻaʻohe ʻano kumu a hoʻonā paha.

Inā makemake ʻoe i kēia ʻatikala, kono mākou iā ʻoe e heluhelu i ka mea aʻe, kahi e hōʻike ʻia ai nā hiʻohiʻona o ka hoihoi nui  Nā helu kūlohelohe: he aha ia? nā hiʻohiʻona, a me nā mea hou aʻe