Isibalo seMathematika njengendlela yokuqeqeshwa kobuchopho

Ubomi luyinto emangalisayo! Ngamanye amaxesha usinikela ngokumangalisa ngesimo sokuphazamiseka, apho ungayiphula khona ingqondo xa uzama ukufumana ukuba impendulo echanekileyo iphi. Leli gama elithi "ukuphazamiseka" lithetha imeko enokuthi ibe khona ebomini bokwenene, kodwa ngelo xesha ayikwazi ukucaciswa ngokucacileyo. Ukongezelela, kukho into enjenge "aporia". Eli gama libhekisela kwiimeko ezikhohlisayo, kodwa kuyaqondakala ngoncedo lweengxoxo ezicacileyo.

Iimpawu ezihlukeneyo zihlukeneyo: ezoqoqosho, ezomthetho, ifilosofi, iikhemikhali, ezempilo, ezengqondo, ezengqondo, ezihambelana nokukhetha, izibalo kunye nemathematika. Kubonakala ukuba azincinci kakhulu. Makhe sithethe ngendlela amaxesha athile adibanisa ngayo ama-paradoxes kwimathematika. Ngendlela, baqhuba kakuhle ukuqeqeshwa kobuchopho. Yena, njengomzimba, naye kufuneka aqeqeshe. Ngokomzekelo, zama ukuxazulula le ngxaki yeemathematika ezilandelayo.

Xa wayehlala ixesha elide, kwakukho umfana owayenobumba obuhle kakhulu kodwa ezincinci kwiibhotile. Wagqiba ekubenibashiye kwaye wayala umkhonzi wakhe ukuba athengise emarikeni ngama-ruble angama-25. Wahamba ukuze enze eso sabelo. Kwi-bazaar, umkhonzi wabona into engafanelekanga eyayingenawo umlenze wesobunxele, kwaye ikunene yayisongwe kwezinye iingubo. Kwakuye ekwindla egcekeni, umkhonzi wamva ubuhlungu ngale ndoda, kwaye xa ecela ukumthengisa ngebhodi elifanelekileyo ngesiqingatha semali, wavuma, nangona wayeqonda ukuba le nto yayingenakwenzeka. Ngoko, wathola iiruble eziyi-12.5. Umkhonzi wayeza kuphinda abuyele kwinkosi yakhe xa kwakungekho umlomo ongenamalwelwe emibini, sele engenawo unyawo onyawo, owayefuna izicathulo. Wathengisa i-rubot ye-12.5 ye-left boot ekhuselekileyo kwaye unelisekile wabuyela kwinkosi. Umnini, emva kokuphulaphule eli bali, waqala ukugculela umkhonzi ngenxa yokuba akazange enze isaphulelo esibi. Wamnika i-ruble e-5 kwaye wayala ukuba athathe abo bathengi ababini baze bahlule imali phakathi kwabo. Umkhonzi, naye, akazange agqitywe kwaye wagqiba kwelokuba kufuneka kwenziwe okuthile ngomsebenzi wakhe. Ngoko ke, wathatha ii-ruble ezi-3, kwaye umntu ngamnye okhubazekile wanika i-ruble enye. Ngoku, ukuba sibala ndawonye imali leyo umkhonzi ayithathileyo kunye nalabo abakhubazekileyo bagqitywa, ke sithola i-3 + 12.5-1 + 12.5-1 = ii-ruble ezingama-26. Kwaye iibhotile zokuqala zibiza iiruble ezingama-25. Ngenxa yoko umbuzo: ivelaphi i-ruble eyengeziwe? Impendulo kule ngqungquthela yeemathematika iya kunikwa kamva kamva, ukuze kungabi kukuthintela ukuzonwabisa ngokwakho oko kwenzekayo. Okwangoku, siyaqaphela ukuba ngaphezu kokukrazanya, kukho izinto ezinzulu ezixhatshazwa zizizukulwana zenzululwazi kwaye ngezinye izihlandlo ziphikisana.

Thatha, umzekelo, ukutshatyalaliswa kwexesha, eyaziwa ngokuba yi- twist of twins. Ngomnyaka we-1905, akukho omnye ngaphandle kuka-Albert Einstein, owaqulunqa i-theorem ebhekiselele ekunciphiseni ixesha. Ingundoqo yayo kukuba ukuba iwashi ezimbini ezifanayo zibonisa ixesha elifanayo zikwimeko enye, kwaye ke enye yazo ifakwe kwinqanaba elivaliweyo kwijubane rhoqo, de kube ziphinde zithole kwindawo yazo yangaphambili, ngenxa yoko Uya kubonisa ixesha elithile xa kuthelekiswa newashi engashenxiswayo. Ngokumangalisayo, kodwa iimvavanyo ezininzi eziye zenziwa ngamawashi amakhulu kunye neengqungquthela zokuqala zibonisa ukuba oku kunokwenzeka kwaye inkolelo yokuchasana nayo isebenza kulo mzekelo.

Ewe, lixesha lokuchazela ukuphazamiseka kwemathematika ngeebhuthi. I-ruble eyongeziweyo ibonakala ngenxa yemali yemali ehlawulwe ngabantu abakhubazekileyo (ii-ruble ezingama-23.) Yongezwa iiruble ezintathu umkhonzi, kwaye oku akunjalo. Imali yomkhonzi akufanele ifakwe, kodwa ithathwe. Ekuqaleni, iibhothi zibiza iiruble ezingama-25, kodwa emva kokuba isaphulelo saqala ukuhlawula iindleko ezingama-20. Ukuba uyakwazi ukujongana nale ngqungquthela yemathematika ngokwakho, ndiyavuyisana nawe! Kwaye ukuba akunjalo? Emva koko uzama ukuxazulula ezinye iziganeko kwiimathematika. Kwimeko nayiphi na, iya kukwandisa ubuchule bokucinga kwakho. Ngubani na ongayenqaba le nto?