Nqe lus hais txog cov kev kawm txog zauv ntawm tus poj mathematicians. Nqe lus ntawm kuj zoo kawg cov neeg txog kev ua lej

Nqe lus hais txog kev kawm txog zauv raws li ib tug paub daws teeb science yuav pom tsis tau xwb nyob rau hauv keeb kwm qhov chaw, tab sis kuj nyob rau hauv lub domestic ib puag ncig, qhov chaw uas koj yuav tau mus suav thiab ntsuas. Operations piav khoom nyob rau hauv cov nqe lus ntawm lub ntim thiab zoo peb ua txhua txhua hnub. Pib nrog lub xov tooj ntawm yeem ntawm qab zib, qhov teeb meem no nyob rau hauv lub kas fes, ua ntej txiav ntawm lub caij nyoog txaus siab npaum li cas cov nyiaj txais npaum li cas.

txhais

Tus thawj cov ntsiab lus txhais thiab nqe lus hais txog kev kawm txog zauv yuav muaj nyob rau hauv lub Fabkis philosopher Rene Dekarta: "Peb yuav tsum sib sau ua ke nyob rau hauv lub qub, tag nrho cov paub tswvyim ntawm universal lej yog tag nrho koj yuav tau txhim kho, los yog ntsuas ntsuas. Thiab tsis muaj teeb meem dab tsi ntsuas yuav tsum nqa tawm, xov tooj los yog suab, hnub qub los yog cov nuj nqis. "

Lub Soviet Union yog feeb suav hais tias yog daim ntawv A. N. Kolmogorova: "Nws yog ib tug science, qhov twg ntau piv yog zoo txog rau lub sij puab ntawm lub ntiaj teb no. Tab sis, tsuas nyob rau hauv ib ncua thiab nkaus paub daws teeb tswvyim. "

Nikolya Burbaki - ib pab pawg neeg ntawm zaum los ntawm Fabkis, uas tau sau ob peb phau ntawv hais txog niaj hnub science. Tsim ib tug pab pawg neeg nyob rau hauv 1935, cov nqe lus ntawm kev kawm txog zauv nyob rau hauv lub epigraph ntawm tus thawj tsab: "Lub essence ntawm no kuj zoo kawg science tej zaum yuav hu ua cov lus qhuab qhia ntawm tej yam rau lwm tus txoj kev qhov chaw. Ib txhia thaj chaw ntawm cov khoom tej zaum yuav tsis tau paub, tiam sis lawv yuav tsum tau xam siv lub zoo-paub, yuav tsum muaj tej yeeb yam zoo. Qhov no yog ib tug txheej ntawm paub daws teeb qauv. "

German Veyl tsis ntseeg tias nyob rau hauv tag nrho cov tau muab ib tug ntshiab txhais ntawm kev kawm txog zauv: "Nyob rau hauv lub hauv paus ntawm cov lus nug yuav muab suav hais tias qhib. Nws yog ib qho nyuaj rau xav txog tej yam uas lub sij hawm peb yuav nrhiav tau ib tug txhais ntawm kev kawm txog zauv, uas yog siv tau rau txhua leej txhua tus. Vim qhov no yog yuav tsis yog ib tug science, thiab muaj tswv yim ua ub no, xws li cov suab paj nruag los yog prosody. "

Quotes txog Science

Nqe lus hais txog cov kev kawm txog zauv ntawm tus poj mathematicians thiab luv quotations ntev nug cov lus nug dua teb cov lus:

• "Nws yog ib lub cuab tam txhua txhua tus paub txog raws li ib tug riam phais neeg mus rau lub kws phais neeg" (Abel).
• "Nyob rau hauv av, muaj tsuas yog kev zoo nkauj nyob rau hauv kev zoo nkauj ntawm lub ntsiab - rau tagnrho zoo - nws yog qhov zoo tagnrho proportions, kev faib ua feem ua los ntawm tus xov tooj tso zis :. zoo nkauj - nws yog tus xov tooj" (A. Augustin).
• "Lub ntsiab kev siv lej rau lub sau - yog hais tias nws yog ib qhov nyuaj" (Alexandrov).
• "Nws yog ib tug science ntawm rigor thiab clarity. Nyob rau hauv kev ncaj ncees cov lus, nws yuav suav hais tias qhov tseeb hais tias yog tseeb thiab tsis nyiam auv" (Bers).
• "Mathematics - yog khov kho qauv thiab muaj tseeb los yav tom ntej" (Bers).

Yuam kev thiab miscalculations

Nqe lus hais txog kev kawm txog zauv zoo mathematicians nco qab hais tias nws yog ib tug science eliminates tau uas tsis nyob rau hauv tej cheeb ntawm kev ua si:

• "Mathematics tsis tso yuam kev," (E. Tswb).
• "Ntawm no muaj yog tsis muaj" cuab "tswv yim" (E. Tswb).
• "Lub ancient Greeks hais tias" Mathematics "thiab meant" pov thawj "ntawm" (Bourbaki).
• "Tsib cov lus - point lub, lub cev, txoj kab thiab nto - yog lej, tab sis lub zeem muag ntawm ntxias txiav txim siab los ntawm cov tswv yim." (L. Da Vinci).
• "Yuam kev kawm txog zauv yuav raug nqi lub neej, tsis tau tsuas yog rau ib tug neeg, tab sis rau tag nrho cov ntawm civilization" (Bourbaki).
• "Lub hmoov peb tau tawm ntawm lub grain. Tab sis millstones zom uas yog poured mus rau hauv lawv. Zasyplesh quinoa, khob cij tsis ci. Yog li ntawd nyob rau hauv kev kawm txog zauv, Yog hais tias koj tau ua yuam kev thaum pib, txoj cai cov lus xaus tsis tau" (Thomas Huxley).
• "Lub cev tsis ntawm no science yog tsis. Yog li ntawd koj nyob nraum cia li lwj liam tus cwj pwm mus kawm" (J. Herbart).

Aphorisms txog algebra

Nqe lus hais txog kev kawm txog zauv zoo mathematicians - tsis yog tsuas yog ib tug broad tswvyim ntawm suav, tab sis qhov nqaim kom pom tseeb rau algebra, geometry thiab physics:

• "Algebra - yog ntau tshaj ib tug science, nws yog ib txoj kev los tham txog qhov science" (Niels Bohr).
• "Nws yuav ua tsis tau zog ua hauj lwm, algebra, tsim kev lom zem thiab yuav pab tau cov neeg" (R. Bringherst).
• "Art - ib tug zais algebra Nws yuav siv sij hawm tseg tag nrho cov sij hawm thiab lub neej rau cov neeg uas xav mus txeem nws secrets." (E. Bourdelle).
• "Xyaum yug los ntawm Union algebra, geometry thiab physics" (R. Bacon).
• "Nws yog tsis yooj yim sua tiag tiag to taub algebra, tsis yog ib tug kws sau paj lug" (Weierstrass).
• "Ntawm algebra thiab science xav tau rau nruab no: kev sib koom tes. Nws yog feem ntau pom raws li ib tug txhawb kev qhuab qhia. Tab sis nws yog tsim nyog los xav txog lub tob teeb meem" (Weierstrass).
• "Qhov kev txiav txim nyob rau hauv algebra teeb meem - yog noj cov yeeb ncuab fortress thiab installation ntawm tus yees ntawm lub kov yeej lub nroog ntawm nws tus chij" (N. Vilenkin).

Geometry li nrig txog kev pom kev xav

Sayings ntawm kuj zoo kawg cov txiv neej ntawm kev kawm txog zauv thiab geometry, koj muaj peev xwm tsim koj tus kheej los yog pom qhov tseeb rau lawv tus kheej ob lub qhov muag.

• "Yog hais tias koj saib ze ze, tag nrho cov uas nyob ib ncig peb - yog ib tug geometry" (Alexandrov).
• "Yog nws nyob rau hauv geometry muaj yog tsis muaj contradiction, paub tsis meej thiab teeb meem?" (Berkeley, D.).
• "Geometry thiab logic - yog ob txuj ci tseem ceeb no tag nrho cov lus txhais tsis meej, muaj yog tsis muaj sib cav lub postulates, ntshiab kev xav txhais mus rau hauv lub saib xyuas txheej txheem kom paub tias cov thaj chaw ntawm daim duab, thiab cov duab yog ib txwm nyob rau hauv pem hauv ntej ntawm koj Tag nrho cov no ntaub ntawv tus cwj pwm uas xav li qhia siv kuj .." (D. ntawm Berkeley).
• "Elementary geometry ua rau siv ntawm txawv txawv, txawm ingenious tricks" (Borel).
• "Peb yog nyob rau hauv lub Brunt ntawm Greek scientific thought, peb mus txoj kev Renaissance heroes, vim hais tias kev vam meej tsis tau ua ib ke tsis geometry" (Weil).
• "Lub geometry qhia qhov kev txiav txim nyob rau hauv lub chaos ntawm tag nrho cov uas nyob ib ncig peb" (Wiener).
• "Peb lub ntiaj teb no yuav tsum geometrically xam" (Wiener).

xam kev zoo nkauj

Nqe lus hais txog tus poj mathematicians lej qhia hais tias cov kev zoo nkauj ntawm cov zauv thiab xov tooj yuav muab piv nrog rau cov muaj tseeb kos duab:

• "Tooj - qhov no yog thawj xaav ntawm ib tug zoo meej Library -. Nyob rau hauv lub siab hais tias tej yam tus xov tooj yuav zoo siab txais tos tu ncua thiab tsis txhob sau yuas muaj siab hlob" (A. Augustin).
• "Qhov yuav legislate nyob rau hauv lej rigor" (Hadamard).
• "Science le caag shapes lub cim thiab yog leejtwg tiag ntawm tus neeg clarity ntawm kev xav thiab kev ua pov thawj cov zajlus kom tej kev tseeb" (Alexandrov).
• "Cov zauv rau tag nrho cov sab nraud rigor tag nrho kev txawj ntse ntawm lub sab hauv tshav kub" (Alexandrov).
• "Lub Pythagoreans ntseeg cov zauv science ntawm pib ntawm txhua yam" (Aristotle).
• "Nyob rau hauv kev daws ib qho teeb meem nrog lub tsom xam ntawm ib lub nkaus formulated li cov hom kev kawm uas yuav pab tau rau neeg ua num, qhov twg yog qhov tsis paub hais tias" (M. khau).
• "Science yog ib tug txheej txheem ntawm txoj kev loj hlob uas hnub no tus robust kev paub ntawm cov pob zeb yuav tig mus rau hauv ib tug kab laug sab lub web nyob rau hauv ib tug ob peb xyoos" (E. Tswb).

Profession los yog lub neej

Nqe lus hais txog kev kawm txog zauv AV Voloshinova paub peb nrog zoo science. Cia saib nws raws li ib feem ntawm peb lub neej:

• "Mathematics yuav yeej ib txwm yuav tus hluas nkauj ntawm tag nrho cov chaw thiab cov kev cai qhuab qhia. Lub purity ntawm kev kawm txog zauv tsis muaj vertices, nws yog infinite. Qhov no yog qhov link uas txuas kos duab thiab xam. "
• "Qhov no yog lub tsuas computer science twb deprived ntawm materiality nyob rau hauv nws txoj kev loj hlob. Qhov no tej khoom vaj tse yuav ua rau nws haib. Niaj hnub no, txhua tus neeg uas twb tsis muaj kev sib raug zoo rau kev kawm txog zauv, paub hais tias nws yog ib tug zoo quab yuam, nws cawv twb tsis muaj ib thaj tsam. "
• "Qhov tseeb nqe lus nyob rau hauv kev kawm txog zauv yuav them taus xwb cov neeg uas yog tiag tiag rau hauv kev hlub nrog science."
• "Muaj nuj nqi thiab systematic daim ntawv thov ntawm kev kawm txog zauv rau art pom nyob rau hauv cov suab paj nruag, raws li zoo raws li nyob rau hauv tej hauj lwm ntawm Pythagoras thiab nws cov thwjtim."
• "Mathematics yog zoo nkauj nyob rau hauv nws tus kheej, tab sis thaum nws coj no zoo nkauj mus rau lub kev loj hlob ntawm kev vam meej, nws yog tus nrhiav rau zoo tag nrho."

Pythagoras nqe lus hais txog kev kawm txog zauv raws li ib tug science pib

Qhov tseem zoo-paub hais tias ntawm Pythagoras suab zoo li ib tug cov lus hais tias rau cov thwjtim, "Txhua yam yog tus naj npawb."

Nws lwm cov nqe lus, ntau philosophical, yuav muab txhais raws li ib yam dab tsi:

• "Ua ib tug zoo tshaj plaws, tiam sis tsis txhob cog lus ib tug zoo accomplishment."
• "Yuav kom cov kev txawj ntse ntawm cov kev cai ntawm kev kawm txog zauv sim ua ntej ntawm tag nrho cov kev tshawb cov lus ntawm cov zauv."
• "Tshawb tag nrho cov uas koj pom, txawm hais tias koj lub siab yog nyob rau hauv thawj qhov chaw."

Lomonosov nqe lus hais txog kev kawm txog zauv

Lavxias teb sab neeg kawm xaij Mikhail Vasilyevich yog tsis yog ib tug scholar kuj zoo kawg, nws kawm tag nrho cov ceg ntawm science, los ntawm Science News for KIDS rau cov paj huam. Qhov tseem hais nqe lus hais txog kev kawm txog zauv University cov nram qab no: "Mathematics yog tsim nyog los paub xwb ces hais tias nws yog nyob rau hauv qhov kev txiav txim ntawm txoj kev ntse ua rau yus."

Tsis tas li ntawd, lub tsev kawm ntawv muaj peev xwm yuav nrhiav tau cov nqe lus txog tej yam disciplines:

• "Geometry - tus huab tais ntawm tag nrho cov Duma kev tshawb fawb."
• "Science News for KIDS yog physics ob txhais tes thiab ob lub qhov muag - lej nws tus kheej."
• "Dig muag physicist tsis science xam".
• "Txhua yam uas muaj questionable nyob rau hauv xws sciences li aerometry, hydraulics thiab optics, zauv xam kom meej, cuab thiab muaj tseeb."

ntse txoj kev xav

Nqe lus hais txog kev kawm txog zauv zoo mathematicians feem ntau zoo li witty sayings. Ib txhia yuav tau mus to taub Tsuas yog cov nyob rau hauv lub know, tab sis muaj quotes uas muaj rau txhua leej txhua tus:

• "Lwm yam khoom thiab tej yam uas yuav tsum tau hu ua tib txoj kev vim li suav thiab tus qauv" (Poincare).
• "Ib tug neeg uas tsis paub nrog cov qauv rau kev kawm ntawm tus xov tooj, yuav tsis vam meej nyob rau hauv txhua rooj plaub" (R. Bacon).
• "Mathematics - yog txoj kev tshawb no ntawm txawv cov qauv thiab tawm tsam lawv, tab sis yog tsis muaj cov ntsiab lus" (Hilbert).
• "Yog hais tias tsis muaj ib tug muaj peev xwm los ua pov thawj rau hauv lub theorem, nws yog hu ua tus axiom" (Euclid).
• "Mathematics yog tag nrho! Cia li tsis zoo li cas koj xav tau txoj cai tam sim no" (Albert Einstein).

Muab sayings rau cov me nyuam

Nqe lus hais txog kev kawm txog zauv rau cov me nyuam uas peb nco txog ntawm kuv lub tsev kawm ntawv hnub, thaum nyob rau hauv txhua portrait paub txog hais nws xav thiab cwj pwm kev kawm:

• "Tsis tsuas yog muaj ib tug tob tob siab, koj yuav tsum nrhiav ib tug siv rau nws" (Descartes).
• "Cov yam tshaj plaws paub tuag" (Felas).
• "Ua ntej peb yuav pib lis nrog qhov teeb meem, koj yuav tsum ua tib zoo nyeem cov lus thiab cov tej yam kev mob" (Hadamard).

quotes ntawm tus poj

Cov nqe lus ntawm zaum nyob rau hauv lej thiab science nyob rau hauv kev ib zaug dua ua pov thawj tias tsis muaj lub rudiments ntawm theem pib paub nyob rau hauv cov niaj hnub ntiaj teb no tsuas muaj peev xwm tsis ua li cas:

• "Nyob rau hauv txhua txhua science yuav nrhiav tau ib tug feem pua ntawm qhov tseeb muaj nyob rau hauv Science xam" (Kant).
• "Thom nug zoo li Italians. Lawv hais tias ib yam dab tsi, lawv tam sim ntawd txhais mus rau hauv lawv cov lus, thiab vice versa, peb tau txais rov qab" (Goethe).
• "Xam cai uas tseem ceeb rau lub ntiaj teb no tiag, yog unreliable. Thiab lub feem ntau txhim khu kev qha cov kev cai yog paub daws teeb" (Albert Einstein).
• "Txij li thaum uas lub sij hawm, raws li cov kev tshawb xav ntawm Relativity ua count ntawm kev kawm txog zauv, Kuv tsis to taub tias nws twb" (Albert Einstein).

Daim ntawv uas qhia neeg zoo txog kev kawm txog zauv yog tsis ib txwm tsis tseeb ntxias. Tab sis peb yuav tsum lees hais tias tsis muaj qhov kev kawm ntawm tus xov tooj, peb kev vam meej yuav tsis ua ib ke.