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Dalilu kura minnu b’a jira ko Cantor ye Dedekind sonya?

Kow fɔcogo

20 min read Via www.quantamagazine.org

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sɔsɔli min ye bi jatebɔ kɛ

Jateminɛ tariku tariku sɛbɛnw kɔnɔ, jɛɲɔgɔnya damadɔw de y’a jira ko hakili ta fan fɛ nafa ka bon — walima sɔsɔli — i n’a fɔ Georg Cantor ni Richard Dedekind cɛ. U ka batakiw san 1870 ni 1880 waatiw bɛɛ la, o ye hakilina caman lawuli minnu ye fɛn caman sɛmɛntiya jatebɔ jusigilanw na, k’a ta jateden lakikaw jɔli gɛlɛn na ka se jirali ma min bɛ mɔgɔ ninakili bɔ ko dan tɛ min na, o bɛ na ni bonya suguya wɛrɛw ye. Nka ɲininkali min bɛ jatebɔ tarikusɛbɛnnaw cɛma kabini san kɛmɛ ni kɔ, o ye fanga kura sɔrɔ kɔsa in na: yala Cantor ye bonya sɔrɔ ka tɛmɛ a ka kan ni min ye, wa yala Dedekind ye bonya sɔrɔ min ka dɔgɔ kosɛbɛ wa? Dɔnnibaaw ka sɛgɛsɛgɛli kura u ka danbesɛbɛnw kan, bololasɛbɛnw sɛbɛncogo, ani u ka sɛbɛnw waatibolodacogo tigitigi, o bɛ ka jatebɔ jɛkulu wajibiya ka segin ka sɛgɛsɛgɛli kɛ jɔn de ye hakilinaw fa tiɲɛ na, an bɛ minnu fɔ sisan, a bɛ se ka fɔ ko u bɛ Cantor dɔrɔn de la.

Nin tɛ kalanko sɔsɔli dɔrɔn ye jukɔrɔlafɔli kan . Ɲininkali min ye ko Cantor ye sonya kɛ — walima a dɔgɔyalenba la, a ma bonya kosɛbɛ — Dedekind bɛ se ka hakili ta cogo min na, an bɛ hakilitigiya di cogo min na, jɛ-ka-baara bɛ bɔgɔbɔgɔ cogo min na ka kɛ fɛntigiya ye, ani mun na sɛbɛnni ni dantigɛli nafa ka bon baara bɛɛ la, k’a ta jatebɔ saniyalen na ka se bi jago ma.

tariku sɛbɛn ye min fɔ an ye kaban

Jɛɲɔgɔnya min bɛ Cantor ni Dedekind cɛ, o sɛbɛnnen don kosɛbɛ bataki caman fɛ minnu ye ɲɔgɔn falen-falen san 1872 ni 1899 cɛ.U ka batakiw, minnu bɔra fɔlɔ bɔko lajɛlen dɔ kɔnɔ Emmy Noether ni Jean Cavailles fɛ san 1937, o bɛ hakili falenfalenba dɔ jira. San 1872, cɛ fila bɛɛ ye jateden lakikaw jɔli bɔ u yɛrɛma — Cantor ye baara kɛ ni fɛn ye min bɛ wele sisan ko Cauchy sequences, ani Dedekind ye baara kɛ n’a ka "tigɛ" tɔgɔba ye. Nka batakiw b’a jira ko Dedekind y’a ka tigɛlen jɔli yiriwa kabini san 1858, san 14 dafalen sanni a ka bɔ kɛnɛ kan, k’a sɔrɔ a tun bɛ jatebɔ kalan Politekniki la Zurich.

Tariku dɔnnikɛlaw ye min dɔn kabini tuma jan , o ye ko Kantɔ y' a jigi da Dedekind kan kosɛbɛ seti teori daminɛ sanw kɔnɔ . San 1873 bataki dɔ kɔnɔ min cilen bɛ Dedekind ma, Cantor ye ɲininkali fɔlɔ kɛ ko ni jateden lakikaw bɛ se ka don ɲɔgɔn na kelen-kelen ni jateden dafalenw ye. Dedekind ma dusu don ɲininkali in na dɔrɔn, nka a ye nɔgɔyaba dɔ kɛ Cantor ka dalilu fɔlɔ la min b’a jira ko fɛn lakikaw tɛ se ka jate. O bɛɛ n’a ta, Cantor ye nin jaabiba in bɔ Crelle’s Journal kɔnɔ san 1874, Dedekind ka dɛmɛ ma fɔ.

o bɔli in tun tɛ kɛ siɲɛ kelen ye . Sɛbɛn caman kɔnɔ san 1870 ni 1880 labanw bɛɛ kɔnɔ, Cantor ye hakilinaw labɛn minnu ye a ni Dedekind ka fɛnw falenfalen taamasiyɛnw jira minnu tɛ fili — karidinali ka fɔcogo fɔlɔw sen bɛ o la, jatebaliya hakilina, ani topidiya min bɛ sigi sen kan, o sigicogo — k’a sɔrɔ a ma sɔn sugu di, bi kalanko sariyaw bɛna min ɲini.

dalilu kura : bololasɛbɛnw waatibolodacogo ani sɛbɛn bɔlenw

Kɔsa in na, dɔnniya minnu sɔrɔla, n’olu bɛ tali kɛ sɛbɛnmarayɔrɔw la Göttingen Iniwɛrisite la, ani minnu tun ye marginaliw ye minnu tun bɛ ye ka tɛmɛ Dedekind ka Nachlass (sɛbɛnni nafolo) kɔnɔ, olu ye girinyaba fara o ko kan. Tarikusɛbɛnnaw ye bololasɛbɛnni sɛbɛnnenw jira Dedekind bolo minnu bɛ sigida-teori hakilina jɔnjɔnw jira — o la, min bɛna kɛ teori ye ko dan tɛ a la ni ani dɔrɔn n’a bɛ se ka bila bijection kɔnɔ ni a yɛrɛ kulu fitinin bɛnnen ye — o bɛ daminɛ waatiw la sanni Cantor ka jaabiw bɔ minnu bɛ bɛn ɲɔgɔn ma.

Kɛrɛnkɛrɛnnenya la, min bɛ mɔgɔ kabakoya, o ye sɛbɛnniw kulu ye k’a ta san 1874 la ka se san 1877 ma, Dedekind bɛ hakilinaw sɛgɛsɛgɛ min kɔnɔ karitiw kan « fanga » suguya wɛrɛw kuluw cɛ (an b’o wele sisan ko karidinali). O sɛbɛnniw bɛ tɛmɛn Cantor ka baara bɔlen kan hakilina kelenw kan ni san damadɔ ye. K’a sɔrɔ Dedekind y’a sugandi ka bɔli bali — a fan dɔ bɔra a ka dafalenko nsiirin na, wa a fan dɔ bɔra a la k’a sababu kɛ a y’a ye ko hakilinaw ma kɛ cogo la min bɛ mɔgɔ wasa fɔlɔ — Cantor, min tun bɛ se ka o hakilinaw sɔrɔ u ka batakiw fɛ, o taara teliya la ka sɛbɛnni kɛ.

Waatibolodacogo bɛ dankari kɛ a kɛrɛnkɛrɛnnenya la . Dɔnnibaaw ye misali danfaralen wolonwula kariti kɛ a dɔgɔyalenba la san 1873 ni 1885 cɛ, hakilina dɔ bɛ bɔ fɔlɔ Dedekind ka sɛbɛn kɛrɛnkɛrɛnnenw kɔnɔ walima a ka batakiw kɔnɔ minnu cilen bɛ Kantor ma, ka sɔrɔ ka bɔ Kantɔ ka sɛbɛnw kɔnɔ minnu bɔra kalo 6 fo kalo 18 kɔnɔ — k’a sɔrɔ a ma fɔ.

sonyali walima jɛkafɔ sisi ?

Sanni an ka kɔrɔtɔ ka Kantɔ jalaki , a nafa ka bon ka san kɛmɛ 19nan jatebɔ hakililata faamuya . Citation ni attribution sariyakolow tun ma kɛ cogo la min tun bɛ kɛ cogo la min tun bɛ kɛ cogo la min tun bɛ kɛ bi cogo la. Reference formats standardisés tun tɛ yen, peer-review systems tun tɛ yen i n’a fɔ an b’u dɔn cogo min na, wa dan min bɛ « inspired by a conversation » ni « borrowed an idea » cɛ, o tun ka dɔgɔ kosɛbɛ. Jateblaw tun bɛ to ka hakilinaw tila ɲɔgɔn na batakiw kɔnɔ ni faamuyali jɛlen ye ko bɔli hakɛ ye mɔgɔ o mɔgɔ ta ye min ye sɛbɛn in sɛbɛn.

ye

"Hakilila fanga ni hakili sonya cɛ sira tɛ tigɛ hakilinaw yɛrɛ fɛ, nka sɛbɛnni sira min b'u lamini. Ni sɛbɛn jɛlenw tɛ yen, fɔlɔfɔlɔ sɔsɔliw bɛ kɛ faamuyali ko ye — wa weleweledala min ja gɛlɛn don, o bɛ tariku bonya sɔrɔ tuma caman na."

ye

Cantor lafasabagaw b’a fɔ ko a ye Dedekind ka kɔlɔsiliw ka fɛn fɔlɔw sɛmɛntiya ka kɛ hakilina sigilen ye — ko Dedekind ye kisɛw di, nka Kantor ye nakɔ in jɔ. Tiɲɛ bɛ nin ko in na : Cantor ka san 1895–1897 Beiträge zur Begründung der transfiniten Mengenlehre bɛ kabakomayɔrɔba dɔ jira min bɛ tɛmɛn Dedekind tun ye fɛn o fɛn sɛbɛn. Nka dalilu kuraw b’a jira ko kisɛw dabɔra ka ɲɛ ka tɛmɛ a dɔnta kan fɔlɔ, wa Cantor ka dɛsɛ ka sɔn u ma, a dɔgɔyalenba la, o kɛra jogoɲumanya tiɲɛniba ye waati o waati sariyaw fɛ.

Mun na Dedekind tora a makun na

Nin maana in yɔrɔ min bɛ mɔgɔ ɲɛnajɛ kosɛbɛ, o dɔ ye Dedekind yɛrɛ ka jaabi ye — walima n’a fɔra ka ɲɛ, a ka jaabi sɔrɔbaliya. Hali n’a y’a sɔrɔ dalilu caman b’a bolo minnu b’a jira k’a yɛrɛ ka ɲɛtaa ye, Dedekind ma Cantor jalaki foroba la abada ko a ye sonyali kɛ. Fɛn damadɔ bɛ dɛmɛ ka nin balili in ɲɛfɔ :

  • danfara minnu bɛ dusukunnataw la : Dedekind tun ye mɔgɔ yɛrɛmabilabaga ye , a tun bɛ a janto a yɛrɛ la , wa a tun bɛ mɔgɔ kelen ta kosɛbɛ . Cantor tun ye ŋaniyabatigi ye, a tun bɛ fɛn caman kɛ, wa a tun jigi tigɛlen don ka dɔnniya sɔrɔ jatebɔyɔrɔ dɔ la min tun bɛ ban a ka baara la tuma caman na.
  • Baarakɛlaw ka dɛsɛ : Kantɔ y' a ka baara fanba kɛ Halle Iniwɛrisite la , n' o ye kalanso filanan ye , wa a ye kɛlɛ jugu sɔrɔ ka bɔ Leopold Kronecker fɛ . Dedekind, min sigilen bɛ Brunswick Politekniki la, n’a sɔrɔla a y’a ye ko sɔsɔli min bɛna kɛ fɔlɔfɔlɔ, o bɛna kɛ a jukɔrɔ.
  • ɲɔgɔndɛmɛ : hali ni juruko balanbaliya tun bɛ yen , cɛ fila bɛɛ tun bɛ jɛɲɔgɔnya in nafa bonya . Dedekind ka san 1888 baarakɛminɛnba Was sind und was sollen die Zahlen? jɔra hakilinaw kan u ye minnu labɛn ɲɔgɔn fɛ, wa foroba sɔsɔli tun bɛna o ciyɛn fila bɛɛ nɔgɔ.
  • gafe bɔli hakilila : Dedekind tun dalen b' a la ko hakilinaw ka kan ka bɔ kɛnɛ kan dɔrɔn n' u sera cogo la min bɛ jɛya ani ka dafa . A y’a sugandi k’a jɛya ko a tɛna jaabi caman bɔ kɛnɛ kan, a y’olu jate waati dɔɔnin dɔrɔn de ye. a hakili la , hakilina min ma bɔ kɛnɛ kan , o tun ma labɛn fɔlɔ diɲɛ kɔnɔ .

n'a sɔrɔla nin kuma laban in de bɛ mɔgɔ dusu minɛ kosɛbɛ . Dedekind yɛrɛ ka dafalenya ɲinini ye yɔrɔ lakolon min Dabɔ, Cantor ye min fa. Dalilu kura in tɛ mɔgɔ jugu dɔ jira kosɛbɛ, nka a bɛ gɛlɛya dɔ yeelen bɔ sigidako la : ni sɛbɛnnikɛcogo jɛlenw tɛ yen, weleweledala min bɛ baara kɛ kosɛbɛ, o de bɛ bonya minɛ, a mana kɛ mɔgɔ min ye, o hakilina tun bɛ mɔgɔ min bolo fɔlɔ.

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o kɔrɔ ye mun ye hakilijagabɔ la bi

Cantor-Dedekind ka ko bɛ mankan bɔ ka tɛmɛ jatebɔ tariku kan kosɛbɛ. Baarakɛɲɔgɔnya sira bɛɛ la — k’a ta dɔnniya ɲinini na ka taa a bila porogaramuw dilanni na ka se jagokɛcogo ma — ɲininkali min ye ko jɔn de ye hakilina dɔ daminɛ ani jɔn y’a kɛ dɔrɔn, o ɲɛnabɔli ka gɛlɛn kosɛbɛ. Bi kalanko siratigɛ ye jaabi di ni sariyakolo gɛlɛnw ye minnu bɛ ka caya ka taa a fɛ, minnu bɛ citation, co-authorship, ani open-access preprints lamini. Nka jago diɲɛ kɔnɔ, ekipuw bɛ jɛ ka baara kɛ don o don porozɛw kan minnu bɛ kɛ ɲɔgɔn fɛ, gɛlɛya bɛ to sen na.

Aw ye jateminɛ kɛ jago ko latigɛlen kɔrɔlen caman, fɛn dilanni kura, ani fɛɛrɛbɔ pivot caman bɛ bɔ barow la minnu tɛ labɛn ye — Slack cikan dɔ yan, tablo finman dɔ lajɛ yen, kuma min tɛ kɛ ka ɲɛ lajɛ dɔ kɔnɔ. Ni sɛbɛnw ma sigi sen kan, mɔgɔ min bɛ kunnafoni laban sɛbɛn walima ka ɲɛjirali laban kɛ, o tigi ka teli ka bonya sɔrɔ, k’a sɔrɔ mɔgɔ min ye o hakilina lawuli, o bɛ tunun ka taa kɔfɛ. Nin ye Dedekind gɛlɛya ye jɛkulu cogo la.

Bi kɛnɛw i n’a fɔ Mewayz bɛ o gɛlɛya in ɲɛnabɔ ni jɛkuluw ka jɛkafɔ , poroze sɛbɛnw , ani baarakɛcogo nɔfɛtaama kɛli ye sigida kelen kɔnɔ . Ni modulu 207 jɛlen don minnu bɛ CRM, poroze ɲɛnabɔli, jɛkulu ka kumaɲɔgɔnya, ani jateminɛw kan, bolomafara bɛɛ bɛ sɛbɛn, ka waati taamasiyɛn kɛ, wa a bɛ se ka kɛ sababu ye. Ni ekipu mɔgɔ dɔ ye fɛɛrɛ dɔ fɔ poroze sɛbɛn dɔ kɔnɔ, o sɛbɛn bɛ to sen na. Ni baarakɛcogo dɔ sɛmɛntiyalen don, fɛn caman Changement tariku b’a jira jɔn ye ladilanni kɛ ani waati min na. Attribution gap sugu min ye Dedekind tɔɔrɔ san kɛmɛ ni kɔ kɔnɔ, o bɛ kɛ structurel impossible ye ni sɛbɛnni infrastructures jɔra plateforme yɛrɛ kɔnɔ.

Kantɔ ka ciyɛn jateminɛni kokura

O si tɛ dɔ bɔ Georg Cantor ka kɛnɛya lakika la. A ka diagonal argument san 1891, a ka transfinite ordinal ani cardinal numbers yiriwali, ani a ka continuum hypothesis tora ka kɛ seko ni dɔnko sanfɛtaw ye minnu b’a ka daɲɛw siginiden danfaralen ta. Ɲininkali min lawulila dalilu kura ninnu fɛ, o tɛ ko Kantɔ tun ye jatebɔla ŋana ye — siga t’a la k’a tun ye jatebɔla ŋana ye — nka ko tariku lakali kɛra tilenbaliya la.

Dedekind ka dɛmɛ minnu kɛra jatebɔ jusigilanw na , olu bɛ dɔn ka taa a fɛ ko u ye jusigilan ye kɔrɔ yɛrɛ la . A ka jatebla lakikaw jɔli tigɛcogo fɛ, o tora fɛɛrɛ jɔnjɔn ye bi sɛgɛsɛgɛli kalan gafew kɔnɔ. A ka jatebla-jatebɔ-jatebla ye nɔ Blà jatebɔlaw ka bɔnsɔnw na k’a Tà Emmy Noether la ka Taa Se André Weil ma. Wa a ka hakilinaw sigilenw, minnu sɛbɛnnen don kosɛbɛ sisan sɛbɛnmarayɔrɔw daliluw fɛ, olu bɛ miirilikɛla dɔ jira min tun tɛ Kantɔ ka kunnafonisɛbɛn cibaga dɔrɔn ye nka a tun ye a hakili ta fan fɛ ɲɔgɔn ye — wa, a dɔw la, a ɲɛfɛla.

jateminɛ kura tɛ kɛ ciyɛn kelen cili ye walasa ka dɔ wɛrɛ jɔ . A bɛ tali kɛ faamuyali ɲuman sɔrɔli la, fɛn caman tigɛli hakilinaw bɛ yiriwa cogo min na tiɲɛ na: a tɛ kɛ hakilitigiya waatiw la minnu bɛ yɔrɔ kelen na, nka baro sabatili fɛ, ɲɔgɔndɛmɛ fɛ, ani hakilina jɛlenw nɔgɔyali dɔɔnindɔɔnin fɛ. Bɔnɛ ye ko sɛbɛnnikɛlan in tun ka dɔgɔ kojugu, wa bɔli sariyaw tun lafiyalen don kojugu, walasa ka nin jɛkafɔ tiɲɛ in minɛ waati yɛrɛ la.

Kalansenw sɛbɛnni-fɔlɔ diɲɛ

Kantɔ ni Dedekind ka sɔsɔli bɛ kalan barikama di min bɛ taa kalanko kɔfɛ kosɛbɛ. Waati min na hakililata sɔsɔli bɛ se ka kɛ sababu ye ka tɔnw ni baarakɛlaw ka siniɲɛsigi latigɛ, sɛbɛnni gɛlɛnw, minnu bɛ kɛ waati yɛrɛ la, olu nafa tɛ se ka fɔ ka tɛmɛ. Baarakɛɲɔgɔnya bɛɛ bɛ hakilinaw lawuli, wa hakilina bɛɛ bɔyɔrɔ bɛ a la. Jɛkulu minnu bɛ ɲɛtaa sɔrɔ, olu bɛna kɛ minnu bɛ o bɔyɔrɔ minɛ i n’a fɔ ko kɛlen — a tɛ kɛ i n’a fɔ miiri kɔfɛ, nka i n’a fɔ baara kɛcogo min bɛ don a kɔnɔ.

jagokɛla 138.000 minnu bɛ baara kɛ ni Mewayz ye kaban walasa k' u ka baara ɲɛnabɔ , o sariyasun in jɔlen bɛ don o don baarakɛcogo la . Client ka jɛɲɔgɔnya bɛɛ min donna CRM kɔnɔ, fatura bɛɛ min bɛ bɔ, poroze taamasiyɛn kelen-kelen bɛɛ min tugura o kɔ, o bɛ sɛbɛn banbali dɔ dilan, min bɛ se ka ɲini, min b’a jira jɔn ye mun kɛ ani waati min na. O ye, cogo dɔ la, fɛnsɔrɔsiraw ye, Dedekind tun ma deli ka minnu sɔrɔ — sigida min b’a to bolomafara ɲumanw kana tunun ka don mɔgɔ kelen-kelen ka kayew kɔnɔ, ka san kɛmɛ ni kɔ makɔnɔ walasa u ka dɔn.

Tariki bɛ se ka kɛ abada ka kiritigɛ dafalen di ko Cantor ye Dedekind sonya . Dalilu kura bɛ balansi kɔrɔta, nka tiɲɛ dafalen suturalen bɛ san kɛmɛ 19nan teriya dɔ kɔnɔ min kɛra ni batakiw ye minnu sɛbɛnna bolo la ani ɲɛda ni ɲɛda baro minnu kɛra, sɛbɛnmarayɔrɔ si tɛ se ka minnu jɔ kokura. Nka, an bɛ se ka min kalan, o tɛ jɛya: ka fɛn bɛɛ sɛbɛn, ka juru di ni bolomafara ye, ani ka sistɛmuw jɔ minnu bɛ attribution kɛ otomatiki ye. Dedekind nata ka kan ni fisaman ye.

Ɲininkali minnu bɛ kɛ tuma caman na

dalilu jumɛnw b' a jira ko a bɛ se ka kɛ ko Cantor ye Dedekind sonya ?

Kɔsa in na, dɔnniya minnu sɔrɔla, olu b’u ka bɛnkanba sɛgɛsɛgɛ ka bɔ san 1870 ni 1880 waatiw la, k’a jira ko Kantɔ ka hakilina jɔnjɔn caman minnu bɛ seti teori kan ani dan tɛ min na, olu bɛ hakilinaw jira kosɛbɛ Dedekind tun ye minnu tila a dan na ka kɔn o ɲɛ. Tariku dɔnbagaw b’a jira ko waatibolodacogo danfara bɛ Dedekind ka bololasɛbɛnw bɔbaliw ni Cantor ka sɛbɛnw bɔlenw cɛ, ka fara tɛmɛsira dɔw kan u ka batakiw kɔnɔ, Dedekind ye hakilina jɔnjɔnw jira minnu na, minnu bɔra kɔfɛ Cantor ka baara kɔnɔ k’a sɔrɔ u ma fɔ cogo bɛnnen na.

Kantɔ ni Dedekindi ka jɛɲɔgɔnya ye nɔ bila bi jatebɔ la cogo di ?

U ka jɛ-ka-baara n' u ka ɲɔgɔndan ye bi jatebɔ jusigilanw dilan kosɛbɛ . Dedekind ka jateden lakikaw jɔli gɛlɛn tigɛlenw fɛ ani Cantor ka transfinite set theory yiriwali ɲɔgɔn fɛ, o ye sigida sigi senkan, bi jatebɔ bɛɛ bɛ se ka sigi min kan. U ka ɲɔgɔn falen-falen dan tɛ, tɛmɛsira, ani jatebɔfɛnw cogoya kan, o ye sɔsɔliw lawuli minnu bɛ taa a fɛ ka ɲininiw bila senkan hakilijagabɔ, jatebɔ hakilila, ani jusigilanw kalanni na bi.

mun na sonya sɔsɔli bɛ ka bɔ kɛnɛ kan kokura sisan ?

Sɔrɔdasifɛn kura minnu kɛra nizɛrikan na, i n’a fɔ bataki minnu tun tɛ se ka sɔrɔ fɔlɔ ani bololasɛbɛnw sɛbɛncogo, olu y’a to tarikusɛbɛnnaw ye hakilinaw yiriwali waatibolodacogo tigitigiw labɛn kokura. Sɛbɛnni-sɛgɛsɛgɛli-minɛn kɔrɔlenw ni ɲɔgɔndan-fɛɛrɛw fana y’a To hakilinaw taabolo ɲinini nɔgɔyara jatebɔla fla ninnu cɛ. O sɔrɔ kura ninnu ye kalanko nafa lawuli kokura, wa u ye sɛbɛn caman bila minnu lajɛra ɲɔgɔn fɛ, minnu bɛ segin ka Kantɔ ka dɛmɛ fɔlɔw jateminɛ.

n bɛ se ka barokun caman wɛrɛw sɔrɔ min ka dun jatebɔ ni hakililata tariku kan ?

Kalanko gafew , inivɛrisite ka sɛbɛnmarayɔrɔw , ani gafemarayɔrɔw nizɛrikan na minnu maralen don , olu ye daminɛ ɲumanw ye ɲinini juguw kama . Baarakɛlaw ni kɔnɔkow dabɔbagaw minnu b’a fɛ k’u yɛrɛ ka kalan kɔnɔkow bɔ kɛnɛ kan ani k’u ɲɛnabɔ ka ɲɛ, Mewayz bɛ jagokɛminɛn 207 dilan min bɛ daminɛ $19/mo la min kɔnɔ, bololabaara, SEO baarakɛminɛnw, ani lamɛnnikɛlaw ɲɛnabɔli bɛ sɔrɔ — fɛn o fɛn ka kan ka kɛ walasa ka dɔnniya yɔrɔ fangama dɔ jɔ.

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