UPythagoras kanye neFilosofi Yezinombolo
UPythagoras wayeyisazi sefilosofi nesazi sezibalo esidumile samaGreki asendulo, evame ukubhekwa njengoyise wefilosofi yezinombolo. Wazalwa cishe ngo-570 BC esiqhingini sase-Ionian iSamos, eGrisi, futhi washona cishe ngo-495 BC. UPythagoras waziwa ngezici eziningi zomcabango nomsebenzi wakhe, kodwa esinye sezici ezivelele kakhulu yiminikelo yakhe kwizibalo, futhi ikakhulukazi, inkolelo-mbono yezinombolo. Lesi sihloko sizobheka ngokujulile uPythagoras kanye nefilosofi yezinombolo, ukuthi kungani nokuthi izinombolo zadlala indima ebaluleke kangaka embonweni kaPythagoras, kanye nefa lakhe lefilosofi nezibalo, elisasebenza nanamuhla.
Ukuphila Nesizinda SikaPythagoras
UPythagoras wazalelwa eSamos, kodwa wahamba kakhulu ezindaweni ezifana neGibhithe neBhabhiloni. Phakathi nohambo lwakhe, wafunda imikhakha eyahlukene, okuhlanganisa izibalo, izinkanyezi kanye nefilosofi. Ekugcineni, uPythagoras wahlala eCroton (manje eseningizimu ye-Italy), lapho asungula khona umphakathi wenkolo nowefilosofi owaziwa ngokuthi iPythagoras Sect.
Lo mphakathi awusona nje isikole, kodwa futhi ungumndeni onesakhiwo nemithetho ethile. Amalungu alandela iziqondiso zokudla eziqinile kanye nendlela yokuphila futhi anenkolelo ejulile yokungafi komphefumulo kanye nokuphindukuzalwa. Azibophezele nasekuhloleni ubudlelwano obuyimfihlakalo kanye nezibalo ngaphakathi kwendawo yonke.
Ifilosofi kaPythagoras kanye nomqondo wezinombolo
Omunye weminikelo emikhulu kaPythagoras kwakuwumqondo wokuthi inombolo iyisisekelo sazo zonke izinto nokuthi indawo yonke ilawulwa yizimiso zezibalo. UPythagoras nabalandeli bakhe babekholelwa ukuthi konke kungachazwa ngezinombolo kanye nobudlelwano bezinombolo. Lo mbono uyisisekelo salokho okubizwa ngokuthi “ifilosofi yezinombolo” kaPythagoras.
Izimiso Eziyinhloko Zefilosofi Yezinombolo
1. Izinombolo njengengqikithi yakho konke:
AmaPythagoras afundisa ukuthi izinombolo ziyisisekelo sendawo yonke. Isibonelo, bathole ukuthi ubudlelwano bomculo bungachazwa ngezilinganiso zezinombolo eziphelele. Esifundweni sakhe sezintambo ezidlidlizayo, uPythagoras wathola ukuthi izikhawu ze-harmonic zivela ngezilinganiso ezilula—njenge-1:2 (octave), 2:3 (quint), kanye ne-3:4 (quart). Lokhu kwabonisa ukuthi izinombolo azizona nje amathuluzi ezibalo, kodwa futhi ziyisisekelo sokuvumelana nobuhle emvelweni.
2. Ukuncika Kokungapheli Nokuncika Ezinomboloni:
UPythagoras uphinde wahlola umqondo wokungapheli maqondana nezinombolo. Izinombolo ezinengqondo (ezingavezwa njengezingxenyana zezinombolo ezimbili eziphelele) zihlanganisa izinombolo eziningi, emcabangweni wePythagoras, ezinokuvumelana. Kodwa-ke, bathole nokuthi kunezinombolo ezingeke zivezwe ngezilinganiso, ezaziwa ngokuthi izinombolo ezingenangqondo. Lokhu kutholwa kwanciphisa inkolelo yabo ngokuhleleka kwezinombolo kanye nokuhleleka kwendawo yonke, kwembula ubunzima obujulile bendawo yonke.
Ithiyori kaPythagore
I-Pythagoras Theorem, enye yeminikelo kaPythagoras yezibalo edumile, ithi kunxantathu ongakwesokudla, isikwele sobude be-hypotenuse silingana nesamba sezikwele zobude beminye imilenze emibili. Lokhu kungakhiwa kanje:
a² + b² = c²,
lapho u-'c' ewubude be-hypotenuse kanye no-'a' no-'b' ewubude bemilenze emibili eyakha i-engeli efanele.
Le theorem ayiyona nje imiphumela ebalulekile yezibalo kodwa futhi iyisibonakaliso senkolelo kaPythagore yokuthi izinombolo nobudlelwano bezinombolo kuyizinto eziyisisekelo zendawo yonke. Kumodeli kaPythagore, le theorem ihlanganisa i-geometry ne-arithmetic, ikhombisa indlela izinombolo ezihlela ngayo isakhiwo sendawo ebonakalayo.
UbuPythagoreanism: Umphakathi kanye nobuMfihlakalo
UbuPythagoreanism babungeyona nje iqoqo lemibono yezibalo neyefilosofi, kodwa futhi kwakuyinhlangano engokomoya kanye nomphakathi wenkolo. Amalungu omphakathi wamaPythagore ayelandela imithetho ethile, okuhlanganisa ukudla imifino kanye nemithetho mayelana nobumsulwa, kanye neziphetho zawo zokuziphatha.
Ubumfihlakalo bukaPythagore
UPythagoras wayaziwa nangokuthi ungumuntu ongaqondakali. Abalandeli bakhe babekholelwa ukuthi umphefumulo uyisidalwa esingafi esidlula ochungechungeni lokuphindukuzalwa futhi ukuthi impilo evamile nengcwele ingahlanza umphefumulo ebubini futhi iwuphakamisele ezingeni eliphakeme lokuphila. Izinombolo kanye nobudlelwano bazo kwakucatshangwa ukuthi zidlala indima ebalulekile ekuhlelekeni kwendawo yonke nangokomoya.
UPythagoras wafundisa nokuthi yonke into ine-“nomos,” noma umthetho wemvelo , ongaqondwa ngokutadisha izinombolo kanye nezilinganiso. Kwezobuciko nasemculweni, isibonelo, amaPythagoras asebenzisa izimiso zezibalo ukuze afune ukuvumelana nokuhleleka.
Ifa likaPythagoras kwezezibalo nefilosofi
Ifa likaPythagoras likhulu kakhulu, lihlanganisa imikhakha eminingi ngale kwezibalo. Ifilosofi yakhe yenombolo njengengqikithi eyisisekelo yazo zonke izinto yathonya umcabango wefilosofi nowesayensi wesikhathi esizayo.
Ithonya ku-Mathematics
Imiphumela eminingi kanye nama-theorem atholwe noma afundwa okokuqala nguPythagoras nabalandeli bakhe abe yisisekelo sokutadisha okuqhubekayo kwezibalo. I-Pythagoras Theorem isengomunye wemibono eyisisekelo ebaluleke kakhulu kwizibalo futhi isafundiswa emhlabeni wonke.
Ithonya Kwefilosofi
UPythagoras wathonya izazi zefilosofi eziningi ezinkulu, okubalwa kuzo uPlato no-Aristotle. Ikakhulukazi uPlato, wahlabeka umxhwele ngemibono kaPythagoras ngenombolo nokuvumelana kwendawo yonke futhi wayifaka kwifilosofi yakhe. Umbono kaPlato "wezwe lemibono," lapho iqiniso langempela lingaqondwa khona kuphela ngolwazi oluhlanzekile hhayi ukuqonda okunemizwa, waphefumulelwa umbono kaPythagoras ngenombolo nezibalo njengesihluthulelo sokuqonda indawo yonke.
Umculo Nokuzwana
Iminikelo kaPythagoras embonweni womculo nayo yayibalulekile. Izimiso eziningi eziyisisekelo zembonweni womculo waseNtshonalanga zisekelwe ekutholakaleni kukaPythagoras mayelana nobudlelwano bezinombolo kanye nokuvumelana. Umbono wokuthi umculo ungahlelwa ngokwezimiso zezibalo usalokhu usembonweni womculo kuze kube namuhla.
Isiphetho
UPythagoras kanye nefilosofi yenombolo azihlukaniseki emlandweni wezibalo nefilosofi yaseNtshonalanga. Ngezimfundiso zakhe ngokubaluleka kwenombolo nokuvumelana kwendawo yonke, uPythagoras washiya ifa elidlula imikhakha nesikhathi. Kusukela kuma-theory ayisisekelo e-geometric kuya emibonweni eyimfihlakalo yendawo yonke, izimiso zikaPythagoras zihlala zibalulekile emikhakheni eminingi yokufunda nokusebenza.
Uma sifunda izibalo noma sicabanga ngobuhle bendawo yonke, sivame ukubuyela ezimisweni eziyisisekelo ezaqalwa uPythagoras nomphakathi wakhe. Ngale ndlela, uPythagoras kanye nefilosofi yenombolo kuyibhuloho elibalulekile phakathi kwezibalo nefilosofi, okusikhumbuza ukuthi umhlaba, nakho konke ukuvumelana kwawo nobuhle bawo, uyimfihlakalo elinde ukuchazwa yizinombolo nezilinganiso ezifihliwe ngaphansi kobuso bawo.
