Richard Hamming. "Txoj Kev Tsis Muaj": Yuav Ua Li Cas Peb Paub Peb Paub (full version)


(Rau cov neeg uas twb tau nyeem yav dhau los ntu ntawm kev txhais lus ntawm cov lus qhuab qhia no, rov qab mus rau Sijhawm code 20:10)

[Hamming hais lus tsis txaus ntseeg hauv qhov chaw, yog li yog tias koj muaj lus pom zoo rau kev txhim kho kev txhais lus ntawm tus kheej, thov sau rau hauv tus kheej cov lus.]

Cov lus qhuab qhia no tsis yog nyob rau lub sijhawm, tab sis yuav tsum tau muab ntxiv kom tsis txhob muaj lub qhov rais ntawm cov chav kawm. Cov lus qhuab qhia yog qhov tseem ceeb ntawm peb paub qhov peb paub, yog tias, tau kawg, peb yeej paub nws. Lub ntsiab lus no yog qhov qub raws li lub sijhawm - nws tau tham txog 4000 xyoo dhau los, yog tias tsis ntev dua. Nyob rau hauv lub tswv yim, ib lub sij hawm tshwj xeeb tau tsim los qhia nws - epistemology, los yog science ntawm kev paub.

Kuv xav pib nrog cov pab pawg neeg qub ntawm yav dhau los nyob deb. Nws yog ib nqi sau cia hais tias nyob rau hauv txhua tus ntawm lawv muaj ib tug dab neeg hais txog kev tsim lub ntiaj teb no. Raws li ib tug Japanese kev ntseeg thaum ub, ib tug neeg nplawm cov av nkos, los ntawm splashes ntawm cov Islands tuaj. Lwm haiv neeg kuj muaj cov lus dab neeg zoo sib xws: piv txwv li, cov neeg Ixayees ntseeg tias Vajtswv tsim lub ntiaj teb rau rau hnub, tom qab ntawd nws tau nkees thiab ua tiav kev tsim. Tag nrho cov dab neeg no zoo ib yam - txawm tias lawv cov phiaj xwm muaj ntau haiv neeg, lawv txhua tus sim piav qhia vim li cas lub ntiaj teb no tshwm sim. Kuv yuav hu qhov no mus kom ze theological vim hais tias nws tsis koom nrog cov lus piav qhia uas tsis yog "nws tshwm sim los ntawm lub siab nyiam ntawm cov vajtswv; lawv tau ua qhov lawv xav tias tsim nyog, thiab qhov ntawd yog li cas lub ntiaj teb tau los ua. "

Nyob ib ncig ntawm lub xyoo pua XNUMX BC. e. Cov kws tshawb fawb ntawm tim Nkij teb chaws thaum ub pib nug cov lus nug tshwj xeeb - lub ntiaj teb no muaj dab tsi, nws yog dab tsi, thiab tseem sim ua kom lawv muaj kev sib haum xeeb es tsis yog kev ntseeg. Raws li paub, lawv tau hais txog cov ntsiab lus: lub ntiaj teb, hluav taws, dej thiab huab cua; lawv muaj ntau lub tswv yim thiab kev ntseeg, thiab maj mam tab sis muaj tseeb tag nrho cov no tau hloov mus rau hauv peb cov tswv yim niaj hnub ntawm qhov peb paub. Txawm li cas los xij, lub ntsiab lus no tau ua rau tib neeg xav tsis thoob txhua lub sijhawm, thiab txawm tias cov neeg Greek thaum ub xav tsis thoob li cas lawv paub lawv paub.

Raws li koj yuav nco qab los ntawm peb cov kev sib tham txog kev ua lej, cov Greeks thaum ub tau ntseeg tias geometry, uas lawv cov lej raug txwv, yog qhov kev paub tseeb thiab tsis txaus ntseeg kiag li. Txawm li cas los xij, raws li Maurice Kline, tus sau phau ntawv "Mathematics," qhia. Poob qhov tseeb,” uas feem ntau cov lej yuav pom zoo, tsis muaj qhov tseeb hauv lej. Kev ua lej tsuas yog muab qhov sib xws uas muab cov cai ntawm kev xav. Yog tias koj hloov cov cai no lossis cov kev xav tau siv, cov lej yuav txawv heev. Tsis muaj qhov tseeb tiag, tsuas yog tej zaum Kaum Nqe Lus Qhia (yog tias koj yog ib tug ntseeg), tab sis, alas, tsis muaj dab tsi hais txog peb qhov kev sib tham. Nws tsis kaj siab.

Tab sis koj tuaj yeem siv qee txoj hauv kev thiab tau txais cov lus xaus sib txawv. Descartes, tau txiav txim siab qhov kev xav ntawm ntau tus kws tshawb fawb ua ntej nws, tau nqis rov qab thiab nug cov lus nug: "Kuv tuaj yeem paub tseeb li cas?"; Raws li cov lus teb, nws xaiv cov nqe lus "Kuv xav tias, yog li kuv yog." Los ntawm cov lus no nws tau sim muab lub tswv yim thiab tau txais ntau yam kev paub. Qhov kev xav no tsis tau lees paub zoo, yog li peb tsis tau txais kev paub. Kant tau sib cav tias txhua tus neeg yug los nrog kev paub ruaj khov ntawm Euclidean geometry, thiab ntau yam ntawm lwm yam, uas txhais tau hais tias muaj kev paub hauv lub cev uas tau muab, yog tias koj nyiam, los ntawm Vajtswv. Hmoov tsis zoo, ib yam li Kant tau sau nws cov kev xav, cov lej tau tsim cov duab tsis-Euclidean uas zoo ib yam li lawv cov qauv. Nws hloov tawm tias Kant tau ntuav cov lus rau cua, ib yam li yuav luag txhua tus neeg uas sim xav txog qhov nws paub qhov nws paub.

Qhov no yog ib lub ntsiab lus tseem ceeb, vim hais tias kev tshawb fawb yeej ib txwm tig mus rau cov ntsiab lus: koj tuaj yeem hnov ​​​​tias science tau qhia qhov no, ua pov thawj tias nws yuav zoo li no; peb paub qhov no, peb paub qhov ntawd - tab sis peb puas paub? Koj puas paub tseeb? Kuv yuav saib cov lus nug no kom ntxaws ntxiv. Cia peb nco qab txoj cai los ntawm biology: ontogeny repeats phylogeny. Nws txhais tau hais tias txoj kev loj hlob ntawm ib tug neeg, los ntawm ib tug fertilized qe mus rau ib tug me nyuam kawm ntawv, schematically rov qab tag nrho cov txheej txheem dhau los ntawm evolution. Yog li, cov kws tshawb fawb tau sib cav tias thaum lub sij hawm embryonic txoj kev loj hlob, gill slits tshwm thiab ploj dua, thiab yog li ntawd lawv xav tias peb cov poj koob yawm txwv nyob deb yog ntses.

Suab zoo yog tias koj tsis xav txog nws heev. Qhov no muab lub tswv yim zoo nkauj ntawm qhov kev hloov pauv ua haujlwm li cas, yog tias koj ntseeg nws. Tab sis kuv yuav mus ntxiv me ntsis thiab nug: cov me nyuam kawm li cas? Lawv tau txais kev paub li cas? Tej zaum lawv yug los nrog kev paub ua ntej, tab sis qhov ntawd suab me ntsis ceg tawv. Yuav kom ncaj ncees, nws yog unconvincing heev.

Yog li cov menyuam ua li cas? Lawv muaj qee yam kev xav, ua raws li cov menyuam yaus pib ua suab. Lawv ua tag nrho cov suab no uas peb feem ntau hu ua babbling, thiab babbling no tsis zoo li nyob ntawm seb tus me nyuam yug los - nyob rau hauv Tuam Tshoj, Russia, England los yog America, cov me nyuam yuav babble yeej ib yam nkaus. Txawm li cas los xij, babbling yuav tsim txawv nyob ntawm lub teb chaws. Piv txwv li, thaum ib tug me nyuam Lavxias teb sab hais lo lus "mama" ob peb zaug, nws yuav tau txais cov lus teb zoo thiab yog li yuav rov ua cov suab no. Los ntawm kev paub dhau los, nws pom tias lub suab twg pab ua tiav qhov nws xav tau thiab qhov tsis ua, thiab yog li kawm ntau yam.

Cia kuv nco koj txog qhov kuv tau hais ob peb zaug - tsis muaj thawj lo lus hauv phau ntawv txhais lus; txhua lo lus raug txhais los ntawm lwm tus, uas txhais tau tias phau ntawv txhais lus yog ncig. Ib yam li ntawd, thaum tus me nyuam sim tsim ib qho kev sib koom ua ke ntawm cov khoom, nws muaj teeb meem ntsib kev tsis sib haum xeeb uas nws yuav tsum tau daws, vim tsis muaj qhov ua ntej rau tus menyuam kawm, thiab "niam" tsis ua haujlwm ib txwm. Tsis meej pem tshwm sim, piv txwv li, xws li kuv yuav tam sim no qhia. Ntawm no yog ib tug naas ej American tso dag:

lyrics of a popular song (zoo siab tus ntoo khaub lig kuv yuav dais, zoo siab dais koj tus ntoo khaub lig)
thiab txoj kev me nyuam hnov ​​nws (zoo siab tus ntoo khaub lig-eyed dais, zoo siab tus ntoo khaub lig-eyed dais)

(Hauv Lavxias: violin-hma liab / creak ntawm lub log, Kuv yog wanking emerald / cores yog cov ntshiab emerald, yog tias koj xav tau bull plums / yog tias koj xav tau kev zoo siab, khaws koj lub qhov quav / ib puas kauj ruam rov qab.)

Kuv kuj tau ntsib cov teeb meem zoo li no, tsis yog qhov tshwj xeeb no, tab sis muaj ntau qhov xwm txheej hauv kuv lub neej uas kuv nco tau thaum kuv xav tias qhov kuv tau nyeem thiab hais yog qhov tseeb, tab sis cov neeg nyob ib puag ncig kuv, tshwj xeeb tshaj yog kuv niam kuv txiv, to taub qee yam. .. uas txawv kiag li.

Ntawm no koj tuaj yeem soj ntsuam qhov yuam kev loj thiab tseem pom tias lawv tshwm sim li cas. Tus me nyuam tau ntsib nrog qhov yuav tsum tau ua qhov kev xav txog cov lus hauv cov lus txhais li cas thiab maj mam kawm cov kev xaiv raug. Txawm li cas los xij, kho qhov yuam kev no tuaj yeem siv sijhawm ntev. Nws tsis yooj yim sua kom paub tseeb tias lawv tau raug kho tag nrho txawm tias tam sim no.

Koj tuaj yeem mus deb heev yam tsis nkag siab qhov koj tab tom ua. Kuv twb tau tham txog kuv tus phooj ywg, kws kho mob ntawm lej sciences ntawm Harvard University. Thaum nws kawm tiav hauv Harvard, nws hais tias nws tuaj yeem suav cov txiaj ntsig los ntawm kev txhais, tab sis nws tsis nkag siab tiag tiag, nws tsuas yog paub yuav ua li cas. Qhov no muaj tseeb rau ntau yam peb ua. Yuav caij tsheb kauj vab, skateboard, ua luam dej, thiab ntau yam ntxiv, peb tsis tas yuav paub yuav ua li cas. Nws zoo nkaus li tias kev paub ntau dua tuaj yeem qhia hauv cov lus. Kuv tsis kam hais tias koj tsis paub caij tsheb kauj vab, txawm hais tias koj tsis tuaj yeem qhia kuv li cas, tab sis koj caij pem hauv ntej ntawm kuv ntawm ib lub log. Yog li, kev paub yuav txawv heev.

Cia peb xaus me ntsis qhov kuv tau hais. Muaj cov neeg uas ntseeg hais tias peb muaj kev txawj ntse innate; Yog tias koj saib qhov xwm txheej tag nrho, koj yuav pom zoo nrog qhov no, xav txog, piv txwv li, cov menyuam yaus muaj lub siab xav hais lub suab. Yog hais tias ib tug me nyuam yug hauv Suav teb, nws yuav kawm paub ntau lub suab kom ua tiav qhov nws xav tau. Yog hais tias nws yug los nyob rau hauv Russia, nws kuj yuav ua tau ntau lub suab. Yog nws yug los nyob teb chaws Amelikas nws tseem yuav ua tau ntau lub suab. Cov lus nws tus kheej tsis yog qhov tseem ceeb ntawm no.

Ntawm qhov tod tes, tus menyuam muaj peev xwm kawm tau yam lus, ib yam li lwm yam. Nws nco qab cov suab ib ntus thiab txheeb xyuas seb lawv txhais li cas. Nws yuav tsum muab lub ntsiab lus tso rau hauv cov suab no nws tus kheej, vim tsis muaj thawj ntu uas nws tuaj yeem nco qab. Qhia koj tus menyuam tus nees thiab nug nws: “Lo lus “niam” yog lub npe nees? Los yog qhov no txhais tau tias nws yog plaub-legged? Tej zaum qhov no yog nws cov xim? Yog tias koj sim qhia tus menyuam tias tus nees yog qhov twg los ntawm kev qhia nws, tus menyuam yuav tsis tuaj yeem teb cov lus nug ntawd, tab sis qhov koj txhais tau li cas. Tus me nyuam yuav tsis paub qhov twg los faib cov lus no rau hauv. Los yog, piv txwv li, coj cov lus qhia "kom khiav." Nws tuaj yeem siv tau thaum koj tsiv mus sai, tab sis koj tuaj yeem hais tias cov xim ntawm koj lub tsho tau ploj mus tom qab ntxuav, lossis yws txog qhov nrawm ntawm lub moos.

Tus me nyuam ntsib teeb meem loj, tab sis tsis ntev los sis tom qab nws kho nws qhov yuam kev, lees tias nws nkag siab qee yam tsis raug. Tau ntau xyoo, cov menyuam yaus ua tau tsawg thiab tsis muaj peev xwm ua tau li no, thiab thaum lawv laus txaus, lawv hloov tsis tau lawm. Pom tseeb, tib neeg tuaj yeem yuam kev. Nco ntsoov, piv txwv li, cov neeg uas ntseeg hais tias nws yog Napoleon. Nws tsis muaj teeb meem ntau npaum li cas pov thawj koj qhia rau tus neeg ntawd tias qhov no tsis yog li ntawd, nws yuav txuas ntxiv mus ntseeg nws. Koj paub, muaj ntau tus neeg uas muaj kev ntseeg ruaj khov uas koj tsis qhia. Txij li thaum tej zaum koj yuav ntseeg tias lawv txoj kev ntseeg yog vwm, hais tias muaj ib txoj hauv kev los nrhiav kev paub tshiab tsis yog qhov tseeb. Koj yuav hais rau qhov no: "Tab sis kev tshawb fawb zoo heev!" Cia peb saib txoj kev tshawb fawb thiab saib seb qhov no puas muaj tseeb.

Ua tsaug rau Sergei Klimov rau kev txhais lus.

10-43: Ib tug hais tias: "Ib tug kws paub txog kev tshawb fawb zoo li ntses paub hydrodynamics." Tsis muaj kev txhais ntawm Science ntawm no. Kuv nrhiav tau (Kuv xav tias kuv tau hais rau koj ua ntej) qhov chaw hauv tsev kawm theem siab cov kws qhia ntawv sib txawv tau qhia kuv txog cov ncauj lus sib txawv thiab kuv pom tau tias cov xibfwb sib txawv tau tham txog tib yam kev kawm sib txawv. Tsis tas li ntawd, tib lub sijhawm kuv tau saib qhov peb tab tom ua thiab nws yog ib qho txawv dua.

Tam sim no, tej zaum koj tau hais tias, "peb ua qhov kev sim, koj saib cov ntaub ntawv thiab cov kev xav." Qhov no feem ntau yuav tsis muaj tseeb. Ua ntej koj tuaj yeem sau cov ntaub ntawv koj xav tau, koj yuav tsum muaj kev xav. Koj tsis tuaj yeem sau cov ntaub ntawv sib txawv: cov xim hauv chav no, hom noog uas koj pom tom ntej, thiab lwm yam, thiab cia siab tias lawv yuav nqa qee lub ntsiab lus. Koj yuav tsum muaj qee qhov kev xav ua ntej sau cov ntaub ntawv. Ntxiv mus, koj tsis tuaj yeem txhais cov txiaj ntsig ntawm kev sim uas koj tuaj yeem ua tau yog tias koj tsis muaj qhov kev xav. Cov kev sim yog qhov kev xav uas tau mus tas li ntawm qhov pib mus rau qhov kawg. Koj muaj kev xav ua ntej thiab yuav tsum txhais cov xwm txheej nrog qhov no hauv siab.

Koj tau txais ntau tus lej ntawm kev xav ua ntej los ntawm cosmogony. Cov pab pawg neeg thaum ub qhia ntau yam dab neeg nyob ib puag ncig hluav taws, thiab cov menyuam yaus hnov ​​​​lawv thiab kawm kev coj ncaj ncees thiab kev coj noj coj ua (Ethos). Yog tias koj nyob hauv ib lub koom haum loj, koj kawm cov cai ntawm kev coj cwj pwm loj los ntawm kev saib lwm tus coj. Thaum koj laus lawm, koj tsis tuaj yeem nres ib txwm. Kuv nyiam xav tias thaum kuv saib cov poj niam uas kuv muaj hnub nyoog, kuv tuaj yeem pom ib lub ntsej muag ntawm cov khaub ncaws hnav zoo li cas thaum cov poj niam no nyob hauv tsev kawm qib siab. Tej zaum kuv yuav dag kuv tus kheej, tab sis qhov ntawd yog qhov kuv nyiam xav. Nej txhua tus tau pom cov Hippies qub uas tseem hnav khaub ncaws thiab ua raws li lawv tau ua thaum lub sijhawm lawv tus cwj pwm tsim. Nws yog amazing npaum li cas koj tau txais txoj kev no thiab txawm tsis paub nws, thiab nws nyuaj npaum li cas rau cov laus cov poj niam los so kom txaus thiab tso tseg lawv tus cwj pwm, paub hais tias lawv tsis tau txais kev coj cwj pwm.

Kev paub yog ib yam uas txaus ntshai heev. Nws los nrog tag nrho cov kev xav uas koj tau hnov ​​​​ua ntej. Piv txwv li, koj muaj kev xav tias A ua ntej B thiab A yog ua rau B. Okay. Hnub invariably ua raws hmo ntuj. Hmo ntuj ua rau hnub? Los yog hnub ua rau hmo ntuj? Tsis muaj. Thiab lwm qhov piv txwv uas kuv nyiam heev. Poto'mac River theem sib txheeb zoo heev nrog cov xov tooj hu. Kev hu xov tooj ua rau tus dej nce siab, yog li peb chim siab. Kev hu xovtooj tsis ua rau cov dej ntws nce. Los nag thiab vim li no tib neeg hu xov tooj rau kev pabcuam tsheb tavxij ntau zaus thiab rau lwm yam laj thawj, piv txwv li, qhia rau cov neeg hlub tias vim los nag lawv yuav tsum tau ncua sijhawm lossis qee yam zoo li ntawd, thiab nag ua rau tus dej ntws mus. sawv.

Lub tswv yim uas koj tuaj yeem qhia qhov laj thawj thiab qhov tshwm sim vim tias ib qho los ua ntej lwm tus yuav yuam kev. Qhov no yuav tsum tau ceev faj txog koj qhov kev tshuaj xyuas thiab koj qhov kev xav thiab yuav ua rau koj mus rau txoj kev tsis ncaj ncees lawm.

Nyob rau hauv lub sij hawm prehistoric, neeg pom tau tias animated ntoo, dej thiab pob zeb, tag nrho vim hais tias lawv piav tsis tau tej xwm txheej uas tshwm sim. Tab sis Ntsuj Plig, koj pom, muaj kev ywj pheej, thiab nyob rau hauv txoj kev no tau tshwm sim tau piav qhia. Tab sis dhau sij hawm peb sim txwv tus ntsuj plig. Yog tias koj ua qhov xav tau huab cua hla nrog koj txhais tes, ces tus ntsuj plig ua qhov no thiab qhov ntawd. Yog tias koj nrum qhov raug spells, tsob ntoo ntsuj plig yuav ua qhov no thiab qhov ntawd thiab txhua yam yuav rov ua nws tus kheej. Lossis yog tias koj cog thaum lub hli puv, cov qoob loo yuav zoo dua lossis qee yam zoo li ntawd.

Tej zaum cov tswv yim no tseem hnyav heev rau peb cov kev ntseeg. Peb muaj ntau heev ntawm lawv. Peb ua qhov yog los ntawm cov vajtswv los yog vajtswv pub rau peb cov txiaj ntsig peb thov, muab, qhov tseeb, uas peb ua yog los ntawm peb cov neeg hlub. Yog li ntawd, ntau tus vajtswv thaum ub tau los ua Vajtswv Ib Leeg, txawm hais tias muaj ib tug ntseeg Vajtswv, Allah, ib tug Buddha, txawm hais tias tam sim no lawv muaj ib tug succession ntawm Buddhas. Ntau los yog tsawg ntawm nws tau ua ke rau hauv ib tug Vajtswv, tab sis peb tseem muaj ntau yam dub khawv koob nyob ib ncig ntawm. Peb muaj ntau cov khawv koob dub nyob rau hauv daim ntawv ntawm cov lus. Piv txwv li, koj muaj ib tug tub hu ua Charles. Koj paub, yog tias koj nres thiab xav, Charles tsis yog tus menyuam nws tus kheej. Charles yog ib tug me nyuam lub npe, tab sis nws tsis yog tib yam. Txawm li cas los xij, feem ntau cov khawv koob dub yog txuam nrog kev siv lub npe. Kuv sau ib tus neeg lub npe thiab hlawv nws lossis ua lwm yam, thiab nws yuav tsum muaj kev cuam tshuam rau tus neeg hauv qee txoj kev.

Los yog peb muaj kev khuv leej cov khawv koob, qhov twg ib yam zoo ib yam li lwm yam, thiab yog tias kuv coj nws thiab noj nws, tej yam yuav tshwm sim. Feem ntau ntawm cov tshuaj thaum ntxov yog homeopathy. Yog tias ib yam dab tsi zoo ib yam li lwm tus, nws yuav coj txawv txawv. Zoo, koj paub tias tsis ua haujlwm zoo heev.

Kuv tau hais txog Kant, uas tau sau tag nrho phau ntawv, Qhov Kev Txhaum Cai ntawm Pure Reason, uas nws tau lees paub hauv qhov loj, tuab tuab hauv cov lus nyuaj rau kev nkag siab, hais txog qhov peb paub peb paub li cas thiab peb tsis quav ntsej cov ntsiab lus li cas. Kuv tsis xav tias nws yog ib txoj kev xav nrov heev txog qhov koj tuaj yeem paub tseeb ntawm txhua yam. Kuv mam li muab piv txwv ntawm kev sib tham uas kuv tau siv ob peb zaug thaum ib tus neeg hais tias lawv paub meej txog qee yam:

- Kuv pom tias koj muaj tseeb tiag?
- Tsis muaj kev poob siab.
- Tsis muaj kev poob siab, ok. Peb tuaj yeem sau rau hauv daim ntawv tias yog tias koj ua yuam kev, thawj zaug, koj yuav muab tag nrho koj cov nyiaj thiab, qhov thib ob, koj yuav tua tus kheej.

Dheev, lawv tsis xav ua. Kuv hais tias: tab sis koj paub tseeb! Lawv pib hais lus tsis muaj tseeb thiab kuv xav tias koj tuaj yeem pom yog vim li cas. Yog tias kuv nug ib yam dab tsi uas koj paub tseeb, ces koj hais tias, "Okay, ok, tej zaum kuv tsis paub meej 100%.
Koj paub ntau yam kev ntseeg uas xav tias qhov kawg yuav los ze. Lawv muag tag nrho lawv tej khoom thiab mus rau pem roob, thiab lub ntiaj teb no tseem nyob, lawv rov qab los thiab pib dua. Qhov no tau tshwm sim ntau zaus thiab ntau zaus hauv kuv lub neej. Ntau pawg uas tau ua qhov no tau ntseeg tias lub ntiaj teb tab tom los txog rau qhov kawg thiab qhov no tsis tshwm sim. Kuv sim ua kom koj ntseeg tias kev paub tsis muaj tseeb.

Cia wb mus saib seb science ua li cas. Kuv hais rau koj tias, qhov tseeb, ua ntej koj pib ntsuas koj yuav tsum tsim ib txoj kev xav. Cia peb saib seb nws ua haujlwm li cas. Qee qhov kev sim tau ua tiav thiab qee qhov tau txais. Kev tshawb fawb sim tsim ib txoj kev xav, feem ntau nyob rau hauv daim ntawv ntawm cov mis, uas npog cov rooj plaub no. Tab sis tsis muaj qhov tshwm sim tshiab tuaj yeem lav qhov tom ntej.

Hauv kev ua lej muaj qee yam hu ua lej induction, uas, yog tias koj ua ntau qhov kev xav, tso cai rau koj los ua pov thawj tias qee qhov xwm txheej yuav tshwm sim. Tab sis ua ntej koj yuav tsum tau txais ntau yam kev xav thiab lwm yam kev xav. Yog lawm, cov lej ua lej tuaj yeem, hauv qhov xwm txheej zoo li no, ua pov thawj qhov tseeb rau txhua tus lej ntuj, tab sis koj tsis tuaj yeem cia siab tias tus kws kho mob tseem tuaj yeem ua pov thawj tias qhov no yuav tshwm sim ib txwm. Txawm hais tias koj tso lub pob ntau npaum li cas, tsis muaj kev lees paub tias koj yuav paub lub cev tom ntej uas koj poob zoo dua qhov kawg. Yog tias kuv tuav lub zais pa thiab tso nws, nws yuav ya mus. Tab sis tam sim ntawd koj yuav muaj alibi: "Au, tab sis txhua yam poob tsuas yog qhov no. Thiab koj yuav tsum ua qhov kev zam rau cov khoom no.

Kev tshawb fawb muaj cov piv txwv zoo sib xws. Thiab qhov no yog ib qho teeb meem uas nws ciam teb tsis yooj yim los txhais.

Tam sim no peb tau sim thiab sim qhov koj paub, peb tau ntsib nrog qhov yuav tsum tau siv cov lus los piav qhia. Thiab cov lus no tuaj yeem muaj lub ntsiab lus txawv ntawm cov uas koj muab rau lawv. Cov neeg sib txawv siv tau tib lo lus uas txawv lub ntsiab lus. Ib txoj hauv kev kom tshem tau cov kev nkag siab tsis zoo no yog thaum koj muaj ob tus neeg hauv chav kuaj sib cav txog qee yam kev kawm. Kev nkag siab yuam kev txwv tsis pub lawv thiab yuam kom lawv paub ntau dua lossis tsawg dua qhia meej tias lawv txhais li cas thaum lawv tham txog ntau yam. Feem ntau koj yuav pom tias lawv tsis txhais hais tias tib yam.

Lawv sib cav txog kev txhais lus sib txawv. Kev sib cav ces hloov mus rau qhov no txhais tau li cas. Tom qab qhia meej lub ntsiab lus ntawm cov lus, koj nkag siab ib leeg zoo dua, thiab koj tuaj yeem sib cav txog lub ntsiab lus - yog, qhov kev sim hais ib yam yog tias koj nkag siab nws li no, lossis qhov kev sim hais lwm tus yog tias koj nkag siab lwm txoj hauv kev.

Tiamsis koj tsuas nkag siab ob lo lus ntawd xwb. Cov lus pab peb tsis zoo.

Ua tsaug rau Artem Nikitin rau kev txhais lus


20:10… Peb cov lus, raws li kuv paub, txhua tus nyiam hais txog “yog” thiab “tsis yog,” “dub” thiab “dawb,” “qhov tseeb” thiab “kev dag ntxias.” Tab sis kuj muaj ib tug golden txhais tau tias. Qee tus neeg siab, qee tus luv, thiab qee qhov siab thiab luv, i.e. rau ib txhia tej zaum yuav siab, thiab vice versa. Lawv nruab nrab. Peb cov lus no txawv txawv heev uas peb nyiam sib cav txog lub ntsiab lus ntawm cov lus. Qhov no ua rau muaj teeb meem kev xav.
Muaj cov philosophers uas sib cav hais tias koj tsuas xav txog cov lus. Yog li ntawd, muaj cov lus piav qhia, paub txog peb thaum yau, nrog ntau lub ntsiab lus ntawm tib lo lus. Thiab kuv xav tias txhua leej txhua tus tau muaj kev paub dhau los uas thaum kawm paub tshiab, koj tsis tuaj yeem qhia qee yam hauv cov lus (tsis tuaj yeem nrhiav cov lus zoo los qhia nws). Peb tsis tshua xav hauv cov lus, peb tsuas yog sim ua, thiab qhov tshwm sim tiag tiag yog qhov tshwm sim.

Wb hais tias koj nyob rau hnub so. Koj los tsev thiab qhia rau lwm tus paub. Me ntsis los ntawm me me, lub caij so koj mus dhau los ua ib yam dab tsi koj tham nrog ib tus neeg. Cov lus, raws li txoj cai, hloov qhov kev tshwm sim thiab khov.
Muaj ib hnub, thaum mus so, kuv tham ob tug neeg uas kuv qhia kuv lub npe thiab chaw nyob, thiab kuv cov poj niam thiab kuv mus ncig ua si, ces peb mus tsev, thiab tom qab ntawd, tsis tham nrog leej twg, kuv sau cia li qhov kuv ua tau. dab tsi tshwm sim rau hnub no. Kuv tau sau txhua yam kuv xav thiab saib cov lus uas dhau los ua ib qho xwm txheej. Kuv sim kuv qhov zoo tshaj plaws kom cia qhov xwm txheej coj cov lus. Vim kuv paub zoo tias lub sijhawm koj xav hais ib yam dab tsi, tab sis nrhiav tsis tau cov lus zoo. Zoo li txhua yam tshwm sim raws li kuv tau hais, tias koj lub caij so tau dhau los ua raws nraim li tau piav qhia hauv cov lus. Ntau tshaj li qhov koj yuav paub tseeb. Qee zaum koj yuav tsum ramble rau ntawm kev sib tham nws tus kheej.

Lwm yam uas tau tawm hauv phau ntawv ntawm quantum mechanics yog tias txawm tias kuv muaj ib pawg ntawm cov ntaub ntawv tshawb fawb, lawv tuaj yeem muaj cov lus piav qhia sib txawv. Muaj peb lossis plaub qhov kev xav sib txawv ntawm quantum mechanics uas ntau dua lossis tsawg dua piav qhia tib yam tshwm sim. Ib yam li non-Euclidean geometry thiab Euclidean geometry kawm tib yam tab sis siv ntau txoj hauv kev. Tsis muaj txoj hauv kev los muab cov kev xav tshwj xeeb los ntawm cov ntaub ntawv. Thiab vim tias cov ntaub ntawv tsis raug cai, koj tau daig nrog nws. Koj yuav tsis muaj qhov kev xav tshwj xeeb no. Tsis txhob. Yog tias rau tag nrho 1 + 1 = 2, ces tib qhov kev qhia nyob rau hauv Hamming code (tus nto moo tshaj plaws ntawm thawj tus kheej saib xyuas thiab kho tus kheej cov lej) yuav yog 1 + 1 = 0. Tsis muaj kev paub meej uas koj xav kom muaj.

Cia peb tham txog Galileo (Italian physicist, kws kho tsheb, astronomer ntawm lub xyoo pua XNUMXth), nrog leej twg quantum mechanics pib. Nws xav tias lub cev poob zoo ib yam, tsis hais qhov kev nrawm nrawm li cas, kev sib txhuam tsis tu ncua, thiab lub zog ntawm huab cua. Qhov zoo tshaj plaws, nyob rau hauv lub tshuab nqus tsev, txhua yam poob ntawm tib qhov ceev. Yuav ua li cas yog tias ib lub cev kov lwm tus thaum ntog. Lawv puas yuav poob rau tib lub nrawm vim lawv tau ua ib qho? Yog tias kov tsis suav, yuav ua li cas yog tias lub cev raug khi nrog txoj hlua? Puas yog ob lub cev sib txuas los ntawm txoj hlua poob ua ib pawg lossis txuas ntxiv poob raws li ob pawg sib txawv? Yuav ua li cas yog hais tias lub cev yog khi tsis nrog ib tug hlua, tab sis nrog ib tug hlua? Yuav ua li cas yog lawv glued rau ib leeg? Thaum twg ob lub cev tuaj yeem suav hais tias yog ib lub cev? Thiab qhov ceev no lub cev poob li cas? Qhov ntau peb xav txog nws, qhov ntau pom tseeb " ruam" cov lus nug peb tsim. Galileo tau hais tias: "Txhua lub cev yuav poob ntawm tib lub nrawm, txwv tsis pub, kuv yuav nug cov lus nug " ruam", ua li cas cov cev no paub tias lawv hnyav npaum li cas? Ua ntej nws, nws tau ntseeg tias lub cev hnyav poob sai dua, tab sis nws tau sib cav tias qhov ceev ntawm lub caij nplooj zeeg tsis nyob ntawm qhov loj thiab cov khoom siv. Tom qab ntawd peb yuav txheeb xyuas qhov tseeb tias nws yog, tab sis peb tsis paub vim li cas. Txoj cai no ntawm Galileo, qhov tseeb, tsis tuaj yeem hu ua txoj cai ntawm lub cev, tab sis yog ib qho kev hais lus-kev xav. Uas yog raws li qhov tseeb tias koj tsis xav nug cov lus nug, "Thaum twg yog ob lub cev ib leeg?" Nws tsis muaj teeb meem ntau npaum li cas lub cev hnyav npaum li lawv tuaj yeem suav tias yog ib lub cev. Yog li ntawd, lawv yuav poob ntawm tib lub nrawm.

Yog tias koj nyeem cov haujlwm classic ntawm kev sib raug zoo, koj yuav pom tias muaj ntau txoj kev ntseeg thiab me ntsis ntawm qhov hu ua qhov tseeb science. Tu siab nws yog li ntawd. Science yog ib qho txawv heev, tsis tas yuav hais!

Raws li kuv tau hais hauv kev qhuab qhia txog cov ntxaij lim dej digital, peb ib txwm pom txhua yam los ntawm "qhov rais". Lub qhov rais tsis yog tsuas yog cov khoom siv lub tswv yim xwb, tab sis kuj yog kev txawj ntse, uas peb "pom" qee lub ntsiab lus. Peb raug txwv kom pom tsuas yog qee lub tswv yim, thiab yog li peb tau daig. Txawm li cas los xij, peb nkag siab zoo tias qhov no tuaj yeem ua li cas. Zoo, kuv kwv yees tus txheej txheem ntawm kev ntseeg dab tsi science ua tau zoo ib yam li menyuam yaus kawm lus. Tus me nyuam twv txog qhov nws hnov, tab sis tom qab ntawd kho thiab tau txais lwm cov lus xaus (sib sau rau ntawm lub rooj tsavxwm: "Zoo siab tus ntoo khaub lig kuv yuav dais / Zoo siab, tus ntoo khaub lig eyed dais." Pun: "Zoo siab ris kuv tus ntoo khaub lig / Nrog kev txaus siab. , tus dais me”). Peb sim qee qhov kev sim, thiab thaum lawv tsis ua haujlwm, peb ua qhov txawv ntawm qhov peb pom. Ib yam li menyuam yaus nkag siab lub neej txawj ntse thiab hom lus nws tab tom kawm. Tsis tas li ntawd, cov kws sim sim, muaj txiaj ntsig hauv kev xav thiab physics, tau tuav qee qhov kev xav uas piav qhia qee yam, tab sis tsis tau lees tias muaj tseeb. Kuv tabtom tso rau pem hauv ntej rau koj qhov tseeb qhov tseeb, tag nrho cov kev xav yav dhau los uas peb muaj nyob rau hauv kev tshawb fawb tau ua yuam kev. Peb tau hloov lawv nrog cov kev xav tam sim no. Nws yog tsim nyog xav tias tam sim no peb tab tom los rov xav txog txhua yam kev tshawb fawb. Nws yog ib qho nyuaj rau xav txog tias yuav luag tag nrho cov kev xav uas peb muaj tam sim no yuav tsis tseeb hauv qee qhov kev nkag siab. Nyob rau hauv qhov kev txiav txim siab tias classical mechanics tau ua tsis tseeb piv rau quantum mechanics, tab sis nyob rau theem nruab nrab uas peb tau sim, nws tseem yog qhov cuab yeej zoo tshaj plaws uas peb muaj. Tab sis peb txoj kev xav ntawm kev xav ntawm tej yam txawv kiag li. Yog li peb tab tom ua qhov txawv txav. Tab sis muaj lwm yam uas tsis xav txog thiab qhov ntawd yog logic, vim tias koj tsis tau muab ntau qhov laj thawj.

Kuv xav tias kuv tau hais rau koj tias tus lej nruab nrab uas tau txais nws PhD sai sai pom tias nws yuav tsum tau kho cov pov thawj ntawm nws qhov kev tshawb fawb. Piv txwv li, qhov no yog cov ntaub ntawv nrog Gauss thiab nws cov pov thawj rau lub hauv paus ntawm ib tug polynomial. Thiab Gauss yog ib tug zoo lej. Peb tab tom tsa tus qauv nruj hauv cov pov thawj. Peb tus cwj pwm ntawm kev nruj yuav hloov. Peb tab tom pib paub tias logic tsis yog qhov kev nyab xeeb uas peb xav tias nws yog. Nws muaj ntau yam pitfalls nyob rau hauv nws ib yam li nyob rau hauv txhua yam. Cov kev cai ntawm logic yog qhov koj nyiam xav li cas koj nyiam: "yog" lossis "tsis yog", "txawm li cas los xij" thiab "qhov ntawd". Peb tsis nyob ntawm tej pob zeb uas Mauxe coj los saum lub Roob Xinais. Peb tab tom ua cov kev xav uas ua haujlwm zoo nkauj ntau zaus, tab sis tsis tas li. Thiab hauv quantum mechanics, koj tsis tuaj yeem hais qhov tseeb tias cov khoom yog cov khoom, lossis cov khoom yog nthwv dej. Tib lub sijhawm, puas yog ob qho tib si, lossis tsis yog?

Peb yuav tsum tau ua ib kauj ruam ntse rov qab los ntawm qhov peb tab tom ua kom tiav, tab sis tseem txuas ntxiv qhov peb yuav tsum tau ua. Nyob rau lub sijhawm no, kev tshawb fawb yuav tsum ntseeg qhov no es tsis yog cov kev tshawb fawb pov thawj. Tab sis cov hom kev ua haujlwm no yog qhov ntev thiab tedious. Thiab cov neeg uas to taub qhov teeb meem no to taub zoo heev tias peb tsis ua thiab yeej tsis yuav, tab sis peb muaj peev xwm, zoo li ib tug me nyuam, yuav zoo dua thiab zoo dua. Thaum lub sij hawm, tshem tawm ntau thiab ntau contradictions. Tab sis tus me nyuam no puas yuav to taub zoo tag nrho txhua yam nws hnov ​​thiab tsis to taub nws? Tsis muaj. Muab ntau npaum li cas cov kev xav tuaj yeem txhais tau ntau yam, qhov no tsis yog qhov xav tsis thoob.

Tam sim no peb nyob hauv ib lub sijhawm uas kev tshawb fawb nominally tseem ceeb, tab sis qhov tseeb nws tsis yog. Feem ntau cov ntawv xov xwm thiab cov ntawv xov xwm, uas yog Vogue (ib tug poj niam lub zam magazine), luam tawm astrological forecasts rau zodiac kos npe rau txhua lub hlis. Kuv xav tias yuav luag txhua tus kws tshawb fawb tsis lees paub kev tshawb fawb, txawm hais tias tib lub sijhawm, peb txhua tus paub tias lub hli cuam tshuam lub ntiaj teb li cas, ua rau ebb thiab ntws dej ntws.

30:20
Txawm li cas los xij, peb tsis ntseeg tias tus menyuam yug tshiab yuav yog sab xis lossis sab laug, nyob ntawm qhov chaw nyob saum ntuj ntawm lub hnub qub uas yog 25 xyoo teeb. Txawm hais tias peb tau pom ntau zaus tias cov neeg yug los hauv tib lub hnub qub loj hlob txawv thiab muaj txoj hmoo sib txawv. Yog li, peb tsis paub tias cov hnub qub puas cuam tshuam rau tib neeg.

Peb muaj ib lub zej zog uas vam khom rau science thiab engineering. Los yog tej zaum ntau dhau lawm thaum Kennedy (35th Thawj Tswj Hwm ntawm Tebchaws Meskas) tshaj tawm tias tsis pub dhau kaum xyoo peb yuav nyob rau lub hli. Muaj ntau lub tswv yim zoo los txais yuav tsawg kawg yog ib qho. Koj tuaj yeem pub nyiaj rau pawg ntseeg thiab thov Vajtswv. Lossis, siv nyiaj rau kev xav. Tib neeg tuaj yeem tsim lawv txoj hauv kev rau lub hli los ntawm ntau txoj hauv kev, xws li pyramidology (pseudoscience). Zoo li, cia peb tsim cov pyramids los siv lawv lub zog thiab ua tiav lub hom phiaj. Tab sis tsis muaj. Peb nyob ntawm zoo qub fashioned engineering. Peb tsis paub tias kev paub peb xav tias peb paub, peb tsuas xav tias peb paub. Tab sis damn nws, peb ua nws rau lub hli thiab rov qab. Peb nyob ntawm kev vam meej mus rau ntau qhov ntau dua li ntawm kev tshawb fawb nws tus kheej. Tab sis tsis muaj qhov teeb meem no. Peb muaj ntau yam tseem ceeb tshaj li engineering. Qhov no yog kev noj qab haus huv ntawm tib neeg.

Thiab niaj hnub no peb muaj ntau lub ntsiab lus los tham, xws li UFOs thiab lwm yam. Kuv tsis tau hais tias CIA tau teeb tsa Kennedy kev tua neeg lossis tias tsoomfwv foob pob Oklahoma ua rau muaj kev ntshai. Tab sis tib neeg ib txwm tuav lawv txoj kev ntseeg txawm tias nyob rau hauv lub ntsej muag ntawm cov pov thawj. Peb pom qhov no txhua lub sijhawm. Tam sim no, xaiv leej twg yog tus neeg dag thiab leej twg tsis yog qhov yooj yim heev.

Kuv muaj ob peb phau ntawv hais txog kev sib cais txoj kev tshawb fawb los ntawm pseudoscience. Peb tau ua neej nyob los ntawm ob peb lub pseudoscientific theories niaj hnub no. Peb tau ntsib cov phenomenon ntawm "polywater" (ib qho hypothetical polymerized daim ntawv ntawm cov dej uas tuaj yeem tsim vim muaj qhov tshwm sim saum npoo thiab muaj lub cev tshwj xeeb). Peb tau ntsib qhov txias nuclear fusion (qhov kev xav tau ntawm kev ua cov tshuaj tiv thaiv nuclear fusion hauv cov tshuaj tsis muaj cua sov tseem ceeb ntawm cov khoom ua haujlwm). Cov lus thov loj yog tsim nyob rau hauv kev tshawb fawb, tab sis tsuas yog ib feem me me ntawm qhov tseeb. Ib qho piv txwv tuaj yeem muab nrog kev txawj ntse. Koj pheej hnov ​​​​txog dab tsi tshuab nrog kev txawj ntse yuav ua, tab sis koj tsis pom cov txiaj ntsig. Tab sis tsis muaj leej twg tuaj yeem lav tias qhov no yuav tsis tshwm sim tag kis. Txij li thaum kuv tau sib cav tias tsis muaj leej twg tuaj yeem ua pov thawj dab tsi hauv kev tshawb fawb, kuv yuav tsum lees txim tias kuv tsis tuaj yeem ua pov thawj dab tsi ntawm kuv tus kheej. Kuv tsis tuaj yeem ua pov thawj tias kuv tsis tuaj yeem ua pov thawj dab tsi. Lub voj voog vicious, puas yog?

Muaj kev txwv loj heev uas peb pom tias tsis yooj yim rau kev ntseeg dab tsi, tab sis peb yuav tsum tau ua raws li nws. Tshwj xeeb, nrog rau qhov kuv tau rov hais dua rau koj ob peb zaug, thiab qhov uas kuv tau piav qhia siv qhov piv txwv ntawm kev hloov pauv ceev Fourier (ib qho algorithm rau kev suav computer ntawm kev sib cais Fourier transform, uas yog dav siv rau kev teeb tsa thiab kev txheeb xyuas cov ntaub ntawv) . Thov zam txim rau kuv rau kuv qhov kev txiav txim siab, tab sis nws yog kuv thawj zaug tso tawm tswv yim rau qhov ua tau zoo. Kuv tuaj txog qhov xaus tias "Npaj Npawb" (ib kauj ruam tseem ceeb hauv kev hloov pauv ceev Fourier algorithm) yuav ua tsis tau zoo los siv nrog cov cuab yeej uas kuv muaj (cov tshuab xam zauv programmable). Tom qab ntawd, kuv nco qab tias thev naus laus zis tau hloov pauv, thiab muaj cov khoos phis tawj tshwj xeeb uas kuv tuaj yeem ua tiav qhov kev siv ntawm algorithm. Peb lub peev xwm thiab kev paub tau hloov tas li. Qhov peb ua tsis tau hnub no, peb tuaj yeem ua tau tag kis, tab sis tib lub sijhawm, yog tias koj ua tib zoo saib, "tag kis" tsis muaj. Qhov xwm txheej yog ob npaug.

Cia peb rov qab mus rau science. Txog peb puas xyoo, txij li xyoo 1700 txog rau niaj hnub no, kev tshawb fawb tau pib tswj hwm thiab txhim kho ntau yam. Niaj hnub no, lub hauv paus ntawm kev tshawb fawb yog dab tsi hu ua reductionism (txoj cai txheej txheem raws li qhov nyuaj phenomena yuav piav qhia tag nrho siv cov kev cai lij choj inherent nyob rau hauv yooj yim phenomena). Kuv tuaj yeem faib lub cev rau hauv qhov chaw, txheeb xyuas qhov chaw thiab kos cov lus xaus rau tag nrho. Kuv tau hais ua ntej tias cov neeg ntseeg feem ntau hais tias, "Koj tsis tuaj yeem faib Vajtswv ua ntu, kawm nws ntu thiab nkag siab Vajtswv." Thiab cov neeg txhawb nqa ntawm Gestalt psychology hais tias: "Koj yuav tsum saib tag nrho tag nrho. Koj tsis tuaj yeem faib tag nrho rau hauv ib feem yam tsis tau rhuav tshem nws. Tag nrho yog ntau tshaj qhov suav ntawm nws qhov chaw. "

Yog tias ib txoj cai lij choj siv tau rau hauv ib ceg ntawm kev tshawb fawb, ces tib txoj cai lij choj yuav tsis ua haujlwm hauv ib pawg ntawm tib ceg. Peb lub log tsheb tsis siv rau ntau qhov chaw.

Yog li ntawd, peb yuav tsum xav txog cov lus nug: "Puas yog tag nrho cov kev tshawb fawb puas tuaj yeem suav tias yog qhov tseem ceeb los ntawm kev tso siab rau cov txiaj ntsig tau los ntawm cov teb tseem ceeb?"

Cov neeg Greek thaum ub tau xav txog cov tswv yim xws li Qhov Tseeb, Kev Zoo Nkauj thiab Kev Ncaj Ncees. Puas muaj kev tshawb fawb ntxiv ib yam dab tsi rau cov tswv yim no txhua lub sijhawm? Tsis muaj. Peb tam sim no tsis muaj kev paub txog cov ntsiab lus no ntau dua li cov neeg Greek thaum ub muaj.

Vajntxwv Npanpiloo Hammurabi (kwv yees li ntawm 1793-1750 BC) tau tso tseg Txoj Cai Lij Choj uas muaj txoj cai li no, piv txwv li, “Ib qhov muag rau ib lub qhov muag, hniav rau hniav.” Qhov no yog kev sim muab Kev Ncaj Ncees rau hauv cov lus. Yog tias peb muab piv rau qhov tam sim no tshwm sim hauv Los Angeles (lub ntsiab lus ntawm kev ntxub ntxaug ntawm 1992), ces qhov no tsis yog kev ncaj ncees, tab sis kev cai lij choj. Peb tsis muaj peev xwm muab Kev Ncaj Ncees rau hauv cov lus, thiab kev sim ua li ntawd tsuas yog ua kom raug cai. Peb tsis tuaj yeem muab qhov tseeb rau hauv cov lus ib yam nkaus. Kuv sim ua qhov no hauv cov lus qhuab qhia no, tab sis qhov tseeb kuv ua tsis tau. Nws zoo ib yam nrog kev zoo nkauj. John Keats (tus kws sau paj huam ntawm cov tub ntxhais hluas ntawm Lus Askiv Romantics) tau hais tias: "Kev zoo nkauj yog qhov tseeb, thiab qhov tseeb yog kev zoo nkauj, thiab qhov ntawd yog txhua yam koj tuaj yeem paub thiab txhua yam koj yuav tsum paub." Tus kws sau paj lug qhia qhov tseeb thiab kev zoo nkauj yog ib qho thiab tib yam. Los ntawm ib tug scientific taw tes ntawm view, xws li ib tug txhais tsis txaus siab. Tab sis kev tshawb fawb tsis tau muab cov lus teb meej ib yam.

Kuv xav sau cov lus qhuab qhia ua ntej peb mus rau peb txoj kev sib cais. Kev tshawb fawb tsis tsuas yog tsim cov kev paub uas peb xav tau. Peb qhov teeb meem tseem ceeb yog peb xav kom muaj qhov tseeb, yog li peb xav tias peb muaj lawv. Kev xav xav yog kev foom koob hmoov rau txiv neej. Kuv pom qhov no tshwm sim thaum kuv ua haujlwm ntawm Bell Labs. Txoj kev xav zoo li plausible, kev tshawb fawb muab qee qhov kev txhawb nqa, tab sis kev tshawb fawb ntxiv tsis muaj pov thawj tshiab rau nws. Cov kws tshawb fawb tab tom pib xav tias lawv tuaj yeem ua yam tsis muaj pov thawj tshiab ntawm txoj kev xav. Thiab lawv pib ntseeg lawv. Thiab qhov tseem ceeb, lawv tsuas yog tham ntau dua, thiab kev ntshaw ua rau lawv ntseeg tag nrho lawv lub zog tias nws yog qhov tseeb lawv hais. Qhov no yog ib tug cwj pwm zoo ntawm txhua tus neeg. Koj muab rau hauv lub siab xav ntseeg. Vim koj xav ntseeg tias koj yuav tau txais qhov tseeb, koj mus tas li tau txais nws.

Kev tshawb fawb tsis tshua muaj ntau yam hais txog tej yam koj mob siab txog. Qhov no siv tsis tau rau qhov tseeb, kev zoo nkauj thiab kev ncaj ncees, tab sis kuj rau tag nrho lwm yam. Kev tshawb fawb tsuas tuaj yeem ua tau ntau heev. Tsuas yog nag hmo kuv tau nyeem tias qee tus kws kho caj ces tau txais qee qhov txiaj ntsig los ntawm lawv cov kev tshawb fawb, thaum tib lub sijhawm, lwm cov kws kho caj ces tau txais cov txiaj ntsig uas tsis lees paub cov txiaj ntsig ntawm thawj zaug.

Tam sim no, ob peb lo lus hais txog chav kawm no. Cov lus qhuab qhia kawg hu ua "Koj thiab koj txoj kev tshawb nrhiav", tab sis nws yuav zoo dua los tsuas yog hu nws "Koj thiab Koj Lub Neej." Kuv xav muab zaj lus qhia "Koj thiab Koj Kev Tshawb Fawb" vim kuv tau siv ntau xyoo los kawm cov ncauj lus no. Thiab ntawm qhov tod tes, qhov kev qhuab qhia no yuav yog qhov xaus ntawm tag nrho cov chav kawm. Qhov no yog ib qho kev sim piav qhia hauv txoj hauv kev zoo tshaj plaws uas koj yuav tsum ua tom ntej. Kuv tuaj rau cov lus xaus no ntawm kuv tus kheej; tsis muaj leej twg qhia kuv txog lawv. Thiab thaum kawg, tom qab kuv qhia koj txhua yam koj yuav tsum ua thiab yuav ua li cas, koj yuav ua tau ntau dua thiab zoo dua li kuv tau ua. Nyob zoo!

Ua tsaug rau Tilek Samiev rau kev txhais lus.

Leej twg xav pab nrog txhais, layout thiab luam tawm phau ntawv - sau hauv PM lossis email [email tiv thaiv]

Los ntawm txoj kev, peb kuj tau tshaj tawm cov txhais lus ntawm lwm phau ntawv txias - "Lub Tshuab Npau Suav: Zaj Dab Neeg ntawm Computer Revolution")

Cov ntsiab lus ntawm phau ntawv thiab tshooj txhaisLus Qhia Tshab

  1. Intro to The Art of Doing Science and Engineering: Kawm Kev Kawm (Lub Peb Hlis 28, 1995) Kev txhais: Tshooj 1
  2. "Foundations of the Digital (Discrete) Revolution" (Lub Peb Hlis 30, 1995) Tshooj 2. Cov ntsiab lus ntawm kev hloov pauv digital (discrete).
  3. "History of Computers - Hardware" (Lub Peb Hlis 31, 1995) Tshooj 3. Keeb kwm ntawm Computers - Hardware
  4. "History of Computers - Software" (Lub Plaub Hlis 4, 1995) Tshooj 4. Keeb kwm ntawm Computers - Software
  5. "History of Computers - Applications" (Lub Plaub Hlis 6, 1995) Tshooj 5: Keeb Kwm ntawm Computers - Kev Siv Tau Zoo
  6. "Artificial Intelligence - Part I" (Lub Plaub Hlis 7, 1995) Tshooj 6. Kev Txawj Ntse - 1
  7. "Artificial Intelligence - Part II" (Lub Plaub Hlis 11, 1995) Tshooj 7. Artificial Intelligence - II
  8. "Artificial Intelligence III" (Lub Plaub Hlis 13, 1995) Tshooj 8. Artificial Intelligence-III
  9. "n-Dimensional Space" (Lub Plaub Hlis 14, 1995) Tshooj 9. N-dimensional qhov chaw
  10. "Coding Theory - Kev Sawv Cev Ntawm Cov Ntaub Ntawv, Ntu I" (Lub Plaub Hlis 18, 1995) Tshooj 10. Coding Theory - I
  11. "Coding Theory - Kev Sawv Cev Ntawm Cov Ntaub Ntawv, Ntu II" (Lub Plaub Hlis 20, 1995) Tshooj 11. Coding Theory - II
  12. "Yam-Kho Codes" (Lub Plaub Hlis 21, 1995) Tshooj 12. Cov Cai Kho Cov Cai yuam kev
  13. "Information Theory" (Lub Plaub Hlis 25, 1995) Ua tiav, txhua yam koj yuav tsum ua yog luam tawm nws
  14. "Digital Filters, Part I" (Lub Plaub Hlis 27, 1995) Tshooj 14. Digital Lim - 1
  15. "Digital Filters, Part II" (Lub Plaub Hlis 28, 1995) Tshooj 15. Digital Lim - 2
  16. "Digital Filters, Part III" (Tsib Hlis 2, 1995) Tshooj 16. Digital Lim - 3
  17. "Digital Filters, Part IV" (Tsib Hlis 4, 1995) Tshooj 17. Digital Lim - IV
  18. "Simulation, Part I" (Tsib Hlis 5, 1995) Tshooj 18. Kev Ua Qauv - I
  19. "Simulation, Part II" (Tsib Hlis 9, 1995) Tshooj 19. Qauv - II
  20. "Simulation, Ntu III" (Tsib Hlis 11, 1995) Tshooj 20. Qauv - III
  21. "Fiber Optics" (Tsib Hlis 12, 1995) Tshooj 21. Fiber optics
  22. "Computer Aided Instruction" (Tsib Hlis 16, 1995) Tshooj 22: Computer Assisted Instruction (CAI)
  23. "Mathematics" (Tsib Hlis 18, 1995) Tshooj 23. Kev Ua lej
  24. "Quantum Mechanics" (Tsib Hlis 19, 1995) Tshooj 24. Quantum mechanics
  25. "Creativity" (Tsib Hlis 23, 1995). Kev txhais lus: Tshooj 25. Muaj tswv yim
  26. "Cov kws tshaj lij" (Tsib Hlis 25, 1995) Tshooj 26. Cov kws tshaj lij
  27. "Cov ntaub ntawv tsis ntseeg" (Tsib Hlis 26, 1995) Tshooj 27. Cov ntaub ntawv tsis ntseeg
  28. "Systems Engineering" (Tsib Hlis 30, 1995) Tshooj 28. Systems Engineering
  29. “Koj Tau Txais Yam Koj Ntsuas” (Lub Rau Hli 1, 1995) Tshooj 29: Koj tau txais yam koj ntsuas
  30. "Peb Paub Li Cas Peb Paub" (Lub Xya hli ntuj 2, 1995) txhais ua 10 feeb chunks
  31. Hamming, “Koj thiab Koj Kev Tshawb Fawb” (Lub Rau Hli 6, 1995). Txhais: Koj thiab koj txoj haujlwm

Leej twg xav pab nrog txhais, layout thiab luam tawm phau ntawv - sau hauv PM lossis email [email tiv thaiv]

Tau qhov twg los: www.hab.com

Ntxiv ib saib