[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:34.52,0:00:36.10,Default,,0000,0000,0000,,Čuješ li me?
Dialogue: 0,0:00:36.71,0:00:37.56,Default,,0000,0000,0000,,Da,
Dialogue: 0,0:00:37.64,0:00:39.14,Default,,0000,0000,0000,,mislim da me sad možeš čuti,
Dialogue: 0,0:00:39.30,0:00:40.71,Default,,0000,0000,0000,,ali me ne vidiš.
Dialogue: 0,0:00:41.00,0:00:42.84,Default,,0000,0000,0000,,To je zato što imaš uši.
Dialogue: 0,0:00:43.18,0:00:46.38,Default,,0000,0000,0000,,Ako zatvoriš oči i posegneš za ekranom,
Dialogue: 0,0:00:46.52,0:00:47.89,Default,,0000,0000,0000,,znat ćeš da je tu.
Dialogue: 0,0:00:47.98,0:00:50.50,Default,,0000,0000,0000,,Osjećaš ga pomoću kože.
Dialogue: 0,0:00:50.60,0:00:53.00,Default,,0000,0000,0000,,Ako ti ne bi dozvolili da ga dotakneš,
Dialogue: 0,0:00:53.10,0:00:54.79,Default,,0000,0000,0000,,mogao bi ga bar pomirisati,
Dialogue: 0,0:00:54.89,0:00:56.96,Default,,0000,0000,0000,,i nakon mirisa vruće plastike,
Dialogue: 0,0:00:57.10,0:01:00.29,Default,,0000,0000,0000,,shvatio bi da tvoj monitor mora biti tu.
Dialogue: 0,0:01:00.50,0:01:02.93,Default,,0000,0000,0000,,Srećom, imaš nos.
Dialogue: 0,0:01:03.06,0:01:05.74,Default,,0000,0000,0000,,Ali, što kad bi ga okusio?
Dialogue: 0,0:01:06.26,0:01:08.00,Default,,0000,0000,0000,,Pa, to bi bilo teže,
Dialogue: 0,0:01:08.15,0:01:09.98,Default,,0000,0000,0000,,ali vremenom bi osjetio plastiku,
Dialogue: 0,0:01:10.07,0:01:11.69,Default,,0000,0000,0000,,jer imaš jezik.
Dialogue: 0,0:01:12.93,0:01:14.80,Default,,0000,0000,0000,,Razumiješ svijet oko sebe,
Dialogue: 0,0:01:14.95,0:01:17.37,Default,,0000,0000,0000,,mislim sve što se nalazi oko tebe,
Dialogue: 0,0:01:17.74,0:01:19.06,Default,,0000,0000,0000,,pomoću tih pet osjetila.
Dialogue: 0,0:01:19.41,0:01:20.85,Default,,0000,0000,0000,,Ako imaš uši,
Dialogue: 0,0:01:20.94,0:01:21.92,Default,,0000,0000,0000,,čuješ.
Dialogue: 0,0:01:22.05,0:01:23.20,Default,,0000,0000,0000,,Ako imaš oči,
Dialogue: 0,0:01:23.28,0:01:24.31,Default,,0000,0000,0000,,možeš vidjeti.
Dialogue: 0,0:01:24.71,0:01:25.91,Default,,0000,0000,0000,,Pomoću kože,
Dialogue: 0,0:01:25.91,0:01:26.92,Default,,0000,0000,0000,,možeš osjetiti.
Dialogue: 0,0:01:26.92,0:01:28.50,Default,,0000,0000,0000,,Jezik će ti pomoći okusiti,
Dialogue: 0,0:01:28.70,0:01:31.99,Default,,0000,0000,0000,,a ako imaš nos, možeš mirisati.
Dialogue: 0,0:01:32.51,0:01:37.45,Default,,0000,0000,0000,,Oči, uši, jezik i koža su "alat",
Dialogue: 0,0:01:37.56,0:01:39.00,Default,,0000,0000,0000,,s kojim si rođen.
Dialogue: 0,0:01:39.10,0:01:41.57,Default,,0000,0000,0000,,Alat koji ti pomaže shvatiti svijet oko tebe.
Dialogue: 0,0:01:42.74,0:01:44.95,Default,,0000,0000,0000,,Ali, kako si znao to sve?
Dialogue: 0,0:01:46.17,0:01:47.75,Default,,0000,0000,0000,,Samo zato jer si primjetio?
Dialogue: 0,0:01:48.45,0:01:51.69,Default,,0000,0000,0000,,I, kako smo ih podijelili u pet osjetila?
Dialogue: 0,0:02:11.90,0:02:18.07,Default,,0000,0000,0000,,[ ZNANOST ]
Dialogue: 0,0:02:26.00,0:02:28.05,Default,,0000,0000,0000,,Odgovor je ZNANOST!
Dialogue: 0,0:02:28.05,0:02:30.50,Default,,0000,0000,0000,,Jer je svijet tako kompliciran,
Dialogue: 0,0:02:30.75,0:02:33.55,Default,,0000,0000,0000,,koristimo znanost da bi otkrili i definirali.
Dialogue: 0,0:02:33.55,0:02:35.46,Default,,0000,0000,0000,,Ali što je znanost?
Dialogue: 0,0:02:35.60,0:02:38.15,Default,,0000,0000,0000,,Istraživanje i proučavanje prirode,
Dialogue: 0,0:02:38.30,0:02:40.66,Default,,0000,0000,0000,,pomoću opažanja i razumijevanja
Dialogue: 0,0:02:40.76,0:02:41.85,Default,,0000,0000,0000,,skupine znanja
Dialogue: 0,0:02:42.00,0:02:43.80,Default,,0000,0000,0000,,dobivenih istraživanjem.
Dialogue: 0,0:02:43.90,0:02:47.57,Default,,0000,0000,0000,,U osnovi, skupina testova, brojeva i slova
Dialogue: 0,0:02:47.70,0:02:50.80,Default,,0000,0000,0000,,koji, zajedno definiraju.
Dialogue: 0,0:02:51.20,0:02:52.00,Default,,0000,0000,0000,,Ali kako?
Dialogue: 0,0:02:52.50,0:02:55.48,Default,,0000,0000,0000,,Većina ljudi prepoznaje oznake kao vrijednosti
Dialogue: 0,0:02:55.48,0:02:58.44,Default,,0000,0000,0000,,a najbolje poznate grupe su brojke i slova.
Dialogue: 0,0:02:58.44,0:03:00.70,Default,,0000,0000,0000,,One su izumi koji nam pomažu
Dialogue: 0,0:03:00.85,0:03:03.02,Default,,0000,0000,0000,,razumjeti okolinu.
Dialogue: 0,0:03:03.52,0:03:05.00,Default,,0000,0000,0000,,Da bi bolje shvatili kako su ovi znakovi
Dialogue: 0,0:03:05.10,0:03:06.92,Default,,0000,0000,0000,,nastali,
Dialogue: 0,0:03:06.92,0:03:10.46,Default,,0000,0000,0000,,pogledajmo kratku povijest matematike:
Dialogue: 0,0:03:14.44,0:03:16.00,Default,,0000,0000,0000,,Ljudska bića su od najranijeg početka,
Dialogue: 0,0:03:16.30,0:03:18.70,Default,,0000,0000,0000,,tražili rješenja za osnovne probleme.
Dialogue: 0,0:03:19.75,0:03:21.16,Default,,0000,0000,0000,,Gradeći domove, mjereći prostor,
Dialogue: 0,0:03:21.36,0:03:23.90,Default,,0000,0000,0000,,prateći godišnja doba i brojeći predmete.
Dialogue: 0,0:03:25.00,0:03:26.35,Default,,0000,0000,0000,,Preko 30.000 godina prije,
Dialogue: 0,0:03:26.50,0:03:27.65,Default,,0000,0000,0000,,rani ljudi paleolitskog doba
Dialogue: 0,0:03:27.80,0:03:29.48,Default,,0000,0000,0000,,su pratili godišnja doba koja prolaze
Dialogue: 0,0:03:29.48,0:03:31.48,Default,,0000,0000,0000,,i promjene u vremenu zbog sadnje.
Dialogue: 0,0:03:32.20,0:03:33.75,Default,,0000,0000,0000,,Da bi prikazali prolaznost vremena,
Dialogue: 0,0:03:33.80,0:03:36.05,Default,,0000,0000,0000,,uklesali bi zareze na zidove pećina,
Dialogue: 0,0:03:36.28,0:03:38.99,Default,,0000,0000,0000,,ili bi urezali zareze na kosti, drvo ili kamen.
Dialogue: 0,0:03:38.99,0:03:41.99,Default,,0000,0000,0000,,Svaki zarez bi predstavljao jedan.
Dialogue: 0,0:03:41.99,0:03:43.10,Default,,0000,0000,0000,,Ali ovaj sustav bi postao nespretan
Dialogue: 0,0:03:43.25,0:03:44.56,Default,,0000,0000,0000,,kad se radilo o većim količinama,
Dialogue: 0,0:03:44.56,0:03:46.40,Default,,0000,0000,0000,,pa su vremenom kreirali simbole
Dialogue: 0,0:03:46.55,0:03:48.20,Default,,0000,0000,0000,,koji su predstavljali grupe objekata.
Dialogue: 0,0:03:48.20,0:03:50.55,Default,,0000,0000,0000,,Nađene su sumerske glinene pločice,
Dialogue: 0,0:03:50.70,0:03:52.70,Default,,0000,0000,0000,,koje datiraju iz 4.milenija pK.
Dialogue: 0,0:03:53.40,0:03:56.30,Default,,0000,0000,0000,,Mali glineni stup je korišten za 1,
Dialogue: 0,0:03:56.30,0:03:58.20,Default,,0000,0000,0000,,glinena kugla je korištena za 10
Dialogue: 0,0:03:58.20,0:04:00.21,Default,,0000,0000,0000,,a veliki stožac za 60.
Dialogue: 0,0:04:01.00,0:04:04.30,Default,,0000,0000,0000,,Zapisi iz otprilike 3.300 pK pokazuju
Dialogue: 0,0:04:04.35,0:04:06.00,Default,,0000,0000,0000,,da su babilonci pisali iznose
Dialogue: 0,0:04:06.15,0:04:07.45,Default,,0000,0000,0000,,na glinene pločice pomoću trske.
Dialogue: 0,0:04:07.50,0:04:09.98,Default,,0000,0000,0000,,Koristili su oblik čavla za 1,
Dialogue: 0,0:04:09.98,0:04:12.55,Default,,0000,0000,0000,,i V sa strane za 10,
Dialogue: 0,0:04:12.55,0:04:14.96,Default,,0000,0000,0000,,kombinirajući ove simbole za druge brojeve.
Dialogue: 0,0:04:14.99,0:04:15.75,Default,,0000,0000,0000,,Na primjer,
Dialogue: 0,0:04:15.85,0:04:18.36,Default,,0000,0000,0000,,babilonci su broj 19 pisali kao:
Dialogue: 0,0:04:19.83,0:04:21.80,Default,,0000,0000,0000,,Drevni egipćani su koristili objekte
Dialogue: 0,0:04:21.95,0:04:23.73,Default,,0000,0000,0000,,iz svakodnevnog života kao simbole.
Dialogue: 0,0:04:23.73,0:04:26.80,Default,,0000,0000,0000,,Prut je predstvaljao 1, kravlja glava 10,
Dialogue: 0,0:04:26.95,0:04:28.00,Default,,0000,0000,0000,,namotano uže 100,
Dialogue: 0,0:04:28.15,0:04:31.00,Default,,0000,0000,0000,,cvijet lotusa je pretstavljaju 1000 itd.
Dialogue: 0,0:04:31.40,0:04:34.70,Default,,0000,0000,0000,,19 su pisali kao kravlja glava i 9 prutova.
Dialogue: 0,0:04:36.15,0:04:37.85,Default,,0000,0000,0000,,Rani rimljani su osmislili sustav brojki
Dialogue: 0,0:04:38.00,0:04:39.68,Default,,0000,0000,0000,,koji i danas vidimo.
Dialogue: 0,0:04:39.83,0:04:40.85,Default,,0000,0000,0000,,Zajedno s ostalim simbolima
Dialogue: 0,0:04:41.00,0:04:43.65,Default,,0000,0000,0000,,koristili su X za 10 i I za 1,
Dialogue: 0,0:04:44.20,0:04:45.00,Default,,0000,0000,0000,,sve do srednjeg doba
Dialogue: 0,0:04:45.10,0:04:47.10,Default,,0000,0000,0000,,rimljani su stavljali I desno od X
Dialogue: 0,0:04:47.25,0:04:49.76,Default,,0000,0000,0000,,za 11 i lijevo za 9.
Dialogue: 0,0:04:49.76,0:04:52.26,Default,,0000,0000,0000,,Tako su 19 pisali kao XIX
Dialogue: 0,0:04:52.80,0:04:54.45,Default,,0000,0000,0000,,Svi ovi kreativni sustavi brojki
Dialogue: 0,0:04:54.60,0:04:57.50,Default,,0000,0000,0000,,pokazuju gupe predmeta kao i individualne predmete.
Dialogue: 0,0:04:58.60,0:05:00.30,Default,,0000,0000,0000,,Neki od najstarijih ljudskih brojevnih sustava
Dialogue: 0,0:05:00.45,0:05:02.70,Default,,0000,0000,0000,,se oslanjaju na prste ruku i nogu.
Dialogue: 0,0:05:02.85,0:05:05.71,Default,,0000,0000,0000,,Temeljili su se na jedinicama, peticama, deseticama i dvadeseticama.
Dialogue: 0,0:05:06.10,0:05:07.95,Default,,0000,0000,0000,,Zulu izraz za 6 znači
Dialogue: 0,0:05:08.10,0:05:10.75,Default,,0000,0000,0000,,uzeti palac desne ruke
Dialogue: 0,0:05:10.90,0:05:12.45,Default,,0000,0000,0000,,podrazumijevajući da su svi prsti lijeve ruke
Dialogue: 0,0:05:12.60,0:05:15.50,Default,,0000,0000,0000,,već dodani i da je trebalo dodati šesti.
Dialogue: 0,0:05:16.15,0:05:18.25,Default,,0000,0000,0000,,Drugi sustavi su se razvili iz trgovine.
Dialogue: 0,0:05:18.45,0:05:19.50,Default,,0000,0000,0000,,Yoruba u Nigeriji,
Dialogue: 0,0:05:19.65,0:05:21.89,Default,,0000,0000,0000,,su koristili školjke kao valutu
Dialogue: 0,0:05:21.89,0:05:24.86,Default,,0000,0000,0000,,i razvili su zadivljujuće kompleksan sustav brojeva.
Dialogue: 0,0:05:24.86,0:05:25.95,Default,,0000,0000,0000,,Temeljio se na dvadeseticama,
Dialogue: 0,0:05:26.10,0:05:27.88,Default,,0000,0000,0000,,i na operacijama množenja,
Dialogue: 0,0:05:28.03,0:05:29.86,Default,,0000,0000,0000,,oduzimanja i zbrajanja.
Dialogue: 0,0:05:29.99,0:05:30.60,Default,,0000,0000,0000,,Na primjer:
Dialogue: 0,0:05:30.75,0:05:36.30,Default,,0000,0000,0000,,na 45 su mislili kao na 3x20 minus 10 minus 5.
Dialogue: 0,0:05:36.70,0:05:38.72,Default,,0000,0000,0000,,Korišteni su čvorovi vezani na konopima
Dialogue: 0,0:05:38.87,0:05:41.05,Default,,0000,0000,0000,,za zapisivanje količina u mnogim kulturama.
Dialogue: 0,0:05:41.20,0:05:42.71,Default,,0000,0000,0000,,Kao perzijanci npr.
Dialogue: 0,0:05:42.71,0:05:44.15,Default,,0000,0000,0000,,Inke su koristili profinjeniju verziju
Dialogue: 0,0:05:44.30,0:05:45.34,Default,,0000,0000,0000,,zvanu "quipu":
Dialogue: 0,0:05:45.44,0:05:47.60,Default,,0000,0000,0000,,deblji konop držan horizontalno
Dialogue: 0,0:05:47.70,0:05:49.42,Default,,0000,0000,0000,,s kojeg su visili konopčići s čvorovima.
Dialogue: 0,0:05:49.88,0:05:51.50,Default,,0000,0000,0000,,Vrsta čvorova koji su koristili inke,
Dialogue: 0,0:05:51.65,0:05:53.20,Default,,0000,0000,0000,,zajedno s dužinom i bojom konopa,
Dialogue: 0,0:05:53.30,0:05:55.76,Default,,0000,0000,0000,,predstavljali su jedinice, desetice i stotine.
Dialogue: 0,0:05:55.80,0:05:57.80,Default,,0000,0000,0000,,U današnjem svijetu skoro svaka industrijska kultura
Dialogue: 0,0:05:57.95,0:06:00.10,Default,,0000,0000,0000,,koristi brojeve od 0 do 9.
Dialogue: 0,0:06:00.60,0:06:01.90,Default,,0000,0000,0000,,Ovi simboli nisu izumljeni do
Dialogue: 0,0:06:02.05,0:06:04.30,Default,,0000,0000,0000,,trećeg stoljeća pK u Indiji
Dialogue: 0,0:06:04.66,0:06:06.30,Default,,0000,0000,0000,,a i trebalo je još 800 godina
Dialogue: 0,0:06:06.45,0:06:09.80,Default,,0000,0000,0000,,da bi ideja nule s decimalama bila osmišljena.
Dialogue: 0,0:06:10.15,0:06:10.80,Default,,0000,0000,0000,,Ova velika ideja
Dialogue: 0,0:06:11.05,0:06:13.30,Default,,0000,0000,0000,,je dramatično promijenila lice matematike.
Dialogue: 0,0:06:14.70,0:06:16.51,Default,,0000,0000,0000,,Mi ljudi smo oduvijek dijelili jedni s drugima,
Dialogue: 0,0:06:16.88,0:06:19.28,Default,,0000,0000,0000,,kad su rane kulture dijelile hranu i vodu
Dialogue: 0,0:06:19.28,0:06:20.55,Default,,0000,0000,0000,,ili kad su htjeli podijelitii zemlju,
Dialogue: 0,0:06:20.70,0:06:22.40,Default,,0000,0000,0000,,na pošten i jednak način,
Dialogue: 0,0:06:22.65,0:06:24.10,Default,,0000,0000,0000,,postepeno su se javili razlomci,
Dialogue: 0,0:06:24.25,0:06:26.55,Default,,0000,0000,0000,,kao simboli za ove situacije poštene diobe.
Dialogue: 0,0:06:27.89,0:06:29.96,Default,,0000,0000,0000,,Drevni egipćani su koristili jedinice za razlomke,
Dialogue: 0,0:06:30.22,0:06:32.10,Default,,0000,0000,0000,,razlomke u kojima je brojnik 1,
Dialogue: 0,0:06:32.25,0:06:34.65,Default,,0000,0000,0000,,kao 1/2, 1/3 i 1/5,
Dialogue: 0,0:06:34.66,0:06:37.06,Default,,0000,0000,0000,,i onda su dodavali polovice ovih razlomaka.
Dialogue: 0,0:06:37.06,0:06:39.80,Default,,0000,0000,0000,,Kad bi htjeli podijeliti 3 štruce kruha,
Dialogue: 0,0:06:39.95,0:06:41.60,Default,,0000,0000,0000,,u peteročlanoj obitelji,
Dialogue: 0,0:06:41.70,0:06:43.90,Default,,0000,0000,0000,,prvo bi podijelili prvu i drugu štrucu
Dialogue: 0,0:06:44.05,0:06:44.70,Default,,0000,0000,0000,,na trećine,
Dialogue: 0,0:06:46.04,0:06:48.28,Default,,0000,0000,0000,,a onda bi treću podijelili na petine,
Dialogue: 0,0:06:49.60,0:06:51.45,Default,,0000,0000,0000,,konačno bi trećinu viška
Dialogue: 0,0:06:51.60,0:06:54.65,Default,,0000,0000,0000,,od druge štruce podijelili na petine.
Dialogue: 0,0:06:56.00,0:07:00.15,Default,,0000,0000,0000,,Pisali bi ovo kao 1/3, 1/5, 1/15
Dialogue: 0,0:07:00.65,0:07:02.15,Default,,0000,0000,0000,,Danas bi ovakvo dijeljenje iskazali
Dialogue: 0,0:07:02.30,0:07:03.65,Default,,0000,0000,0000,,razlomkom: 3/5
Dialogue: 0,0:07:04.20,0:07:06.45,Default,,0000,0000,0000,,3/5 štruce za svakog člana,
Dialogue: 0,0:07:06.60,0:07:08.90,Default,,0000,0000,0000,,ili 3 štruce podijeljene na 5.
Dialogue: 0,0:07:09.53,0:07:11.55,Default,,0000,0000,0000,,Sumerani i rani babilonci
Dialogue: 0,0:07:11.70,0:07:13.25,Default,,0000,0000,0000,,su izumili sustav brojeva razlomaka
Dialogue: 0,0:07:13.40,0:07:17.20,Default,,0000,0000,0000,,temeljenih na 60, koji koristimo i 4.000 godina kasnije.
Dialogue: 0,0:07:17.49,0:07:19.00,Default,,0000,0000,0000,,Naši dani imaju sate od 60 minuta,
Dialogue: 0,0:07:19.15,0:07:20.40,Default,,0000,0000,0000,,a minute 60 sekundi,
Dialogue: 0,0:07:20.55,0:07:23.35,Default,,0000,0000,0000,,a naši krugovi sadrže 360 stupnjeva.
Dialogue: 0,0:07:25.21,0:07:27.00,Default,,0000,0000,0000,,Kineska društva su koristila računaljke,
Dialogue: 0,0:07:27.10,0:07:30.12,Default,,0000,0000,0000,,sa sustavom temeljenom na deseticama, iako nisu imali nulu.
Dialogue: 0,0:07:30.75,0:07:32.25,Default,,0000,0000,0000,,Raniji oblik decimalnih razlomaka,
Dialogue: 0,0:07:32.40,0:07:33.40,Default,,0000,0000,0000,,su proizašli iz računaljki,
Dialogue: 0,0:07:33.50,0:07:34.30,Default,,0000,0000,0000,,na primjer:
Dialogue: 0,0:07:34.40,0:07:37.85,Default,,0000,0000,0000,,3/5 bi na računaljki bilo 6 od 10.
Dialogue: 0,0:07:38.12,0:07:40.99,Default,,0000,0000,0000,,Kinezi su brojnik ljupko nazvali "sin",
Dialogue: 0,0:07:40.99,0:07:42.60,Default,,0000,0000,0000,,a nazivnik "majka".
Dialogue: 0,0:07:43.70,0:07:45.20,Default,,0000,0000,0000,,Tek u 12.stoljeću
Dialogue: 0,0:07:45.35,0:07:46.35,Default,,0000,0000,0000,,uobičajeni razlomci
Dialogue: 0,0:07:46.45,0:07:48.30,Default,,0000,0000,0000,,sa oznakama koje koristimo danas,
Dialogue: 0,0:07:48.40,0:07:49.35,Default,,0000,0000,0000,,su izumljeni.
Dialogue: 0,0:07:49.50,0:07:51.60,Default,,0000,0000,0000,,Čak ni tad nisu imali širu primjenu,
Dialogue: 0,0:07:51.70,0:07:54.50,Default,,0000,0000,0000,,sve do perioda renesanse, do prije 500 godina.
Dialogue: 0,0:07:55.60,0:07:57.65,Default,,0000,0000,0000,,Kroz povijest svaka kultura na svijetu
Dialogue: 0,0:07:57.80,0:08:00.20,Default,,0000,0000,0000,,je kreirala inovativan način računanja.
Dialogue: 0,0:08:00.85,0:08:03.45,Default,,0000,0000,0000,,Da bi riješili problem, npr. 12x15,
Dialogue: 0,0:08:03.75,0:08:05.00,Default,,0000,0000,0000,,rani ruski seljaci
Dialogue: 0,0:08:05.15,0:08:07.15,Default,,0000,0000,0000,,su koristili sustav duplanja i dijeljenja.
Dialogue: 0,0:08:09.52,0:08:12.19,Default,,0000,0000,0000,,Kad bi polovica nekog broja bila razlomak,
Dialogue: 0,0:08:13.09,0:08:14.46,Default,,0000,0000,0000,,zaokružili bi rezultat
Dialogue: 0,0:08:15.90,0:08:16.95,Default,,0000,0000,0000,,i dodali bi faktore
Dialogue: 0,0:08:17.10,0:08:18.95,Default,,0000,0000,0000,,povezane s množiteljem.
Dialogue: 0,0:08:24.10,0:08:26.60,Default,,0000,0000,0000,,Drevni egipćani su se oslanjali na proceduru duplanja
Dialogue: 0,0:08:26.75,0:08:28.41,Default,,0000,0000,0000,,dok ne bi umnožili dovoljno grupa..
Dialogue: 0,0:08:32.50,0:08:34.90,Default,,0000,0000,0000,,onda bi dodali te grupe da bi našli rezultat.
Dialogue: 0,0:08:40.80,0:08:43.05,Default,,0000,0000,0000,,Diljem Europe i Azije, tijekom srednjeg vijeka,
Dialogue: 0,0:08:43.15,0:08:46.05,Default,,0000,0000,0000,,računaljka je bila kalkulator vremena.
Dialogue: 0,0:08:46.15,0:08:48.25,Default,,0000,0000,0000,,Ali samo su je neki znali koristiti,
Dialogue: 0,0:08:48.35,0:08:50.43,Default,,0000,0000,0000,,najčešće bogati trgovci i bankari.
Dialogue: 0,0:08:51.00,0:08:53.40,Default,,0000,0000,0000,,Jednostavno pomjerajući zrno a svako je imalo vrijednost,
Dialogue: 0,0:08:53.50,0:08:55.95,Default,,0000,0000,0000,,računaljka je bila vrlo efikasan kalkulator.
Dialogue: 0,0:08:56.70,0:08:59.20,Default,,0000,0000,0000,,I tad je, veliki arapski matematičar al-Khwarizmi
Dialogue: 0,0:08:59.34,0:09:02.00,Default,,0000,0000,0000,,predstavio hindu-arapski sustav brojki od 0 do 9,
Dialogue: 0,0:09:02.15,0:09:03.70,Default,,0000,0000,0000,,sjevernoj Americi i Europi,
Dialogue: 0,0:09:03.90,0:09:06.25,Default,,0000,0000,0000,,i tako osmislio nove postupke računanja.
Dialogue: 0,0:09:06.70,0:09:09.35,Default,,0000,0000,0000,,Ovakvi algoritmi su mogli biti zapisani na papir.
Dialogue: 0,0:09:10.15,0:09:12.05,Default,,0000,0000,0000,,Kroz stoljeća učenja algoritmi
Dialogue: 0,0:09:12.20,0:09:13.80,Default,,0000,0000,0000,,su postali simbol edukacije
Dialogue: 0,0:09:13.95,0:09:15.15,Default,,0000,0000,0000,,dok su studenti učili računati
Dialogue: 0,0:09:15.30,0:09:16.90,Default,,0000,0000,0000,,duge kolone brojeva,
Dialogue: 0,0:09:17.20,0:09:18.00,Default,,0000,0000,0000,,posuđivati i prenositi,
Dialogue: 0,0:09:18.15,0:09:20.90,Default,,0000,0000,0000,,i raditi duga dijeljenja efikasno i pouzdano.
Dialogue: 0,0:09:21.55,0:09:23.05,Default,,0000,0000,0000,,Sad su već mogli čuvati zapise ovih procedura
Dialogue: 0,0:09:23.20,0:09:25.20,Default,,0000,0000,0000,,i provjeravati rezultate.
Dialogue: 0,0:09:26.10,0:09:27.60,Default,,0000,0000,0000,,Danas se kompleksni izračuni
Dialogue: 0,0:09:27.75,0:09:29.60,Default,,0000,0000,0000,,rade s ručnim kalkulatorima.
Dialogue: 0,0:09:29.85,0:09:31.10,Default,,0000,0000,0000,,Ovo znači da studenti trebaju sposobnost
Dialogue: 0,0:09:31.25,0:09:33.30,Default,,0000,0000,0000,,provjere prihvatljivosti rezultata
Dialogue: 0,0:09:33.45,0:09:34.55,Default,,0000,0000,0000,,i trebaju imati bogat repertoar
Dialogue: 0,0:09:34.70,0:09:36.85,Default,,0000,0000,0000,,umnih matematičkih procedura da to naprave.
Dialogue: 0,0:09:37.50,0:09:40.45,Default,,0000,0000,0000,,Puno jednostavniji izračun npr 12x15
Dialogue: 0,0:09:40.60,0:09:43.40,Default,,0000,0000,0000,,može biti umno riješen koristeći više strategija.
Dialogue: 0,0:09:54.00,0:09:55.30,Default,,0000,0000,0000,,Dok putujemo kroz bogatu
Dialogue: 0,0:09:55.40,0:09:57.05,Default,,0000,0000,0000,,i uzbudljivu povijest matematike
Dialogue: 0,0:09:57.20,0:09:59.10,Default,,0000,0000,0000,,možemo vidjeti kako ideje i kreacije
Dialogue: 0,0:09:59.25,0:10:00.85,Default,,0000,0000,0000,,izrastaju iz jednostavne ljudske potrebe
Dialogue: 0,0:10:01.00,0:10:03.55,Default,,0000,0000,0000,,da se riješe problemi iz svakodnevnice.
Dialogue: 0,0:10:03.70,0:10:05.80,Default,,0000,0000,0000,,Kroz vrijeme, matetamtička istraživanja
Dialogue: 0,0:10:05.95,0:10:07.95,Default,,0000,0000,0000,,muškaraca i žena diljem svijeta,
Dialogue: 0,0:10:08.10,0:10:10.10,Default,,0000,0000,0000,,su nam dala fascinantne leće
Dialogue: 0,0:10:10.25,0:10:11.65,Default,,0000,0000,0000,,koje su nam pomogle da matematički gledamo
Dialogue: 0,0:10:11.80,0:10:14.05,Default,,0000,0000,0000,,i svijetu damo smisao.
Dialogue: 0,0:10:15.30,0:10:17.25,Default,,0000,0000,0000,,Znanost je skupina činjenica
Dialogue: 0,0:10:17.40,0:10:20.50,Default,,0000,0000,0000,,do kojih se došlo definirajući promatrano
Dialogue: 0,0:10:20.65,0:10:23.20,Default,,0000,0000,0000,,i testirajući da bi otkrili.
Dialogue: 0,0:10:23.50,0:10:28.40,Default,,0000,0000,0000,,Matematika, kemija i fizika predstavljaju fiksne
Dialogue: 0,0:10:28.55,0:10:31.75,Default,,0000,0000,0000,,jezike koji nisu podložni interpretaciji.
Dialogue: 0,0:10:31.90,0:10:35.45,Default,,0000,0000,0000,,Jezike koje koristimo da opišemo ono što promatramo
Dialogue: 0,0:10:35.60,0:10:38.95,Default,,0000,0000,0000,,i da testiramo da bi dokazali.
Dialogue: 0,0:10:39.20,0:10:41.07,Default,,0000,0000,0000,,Pomislite na DNA,
Dialogue: 0,0:10:41.07,0:10:43.71,Default,,0000,0000,0000,,stanice, galaksije,
Dialogue: 0,0:10:44.38,0:10:46.15,Default,,0000,0000,0000,,voće,
Dialogue: 0,0:10:46.25,0:10:48.28,Default,,0000,0000,0000,,laptope,
Dialogue: 0,0:10:48.70,0:10:50.55,Default,,0000,0000,0000,,klima uređaje,
Dialogue: 0,0:10:51.12,0:10:53.55,Default,,0000,0000,0000,,pomislite na automobile,
Dialogue: 0,0:10:54.22,0:10:56.96,Default,,0000,0000,0000,,hranu,
Dialogue: 0,0:10:57.30,0:10:58.89,Default,,0000,0000,0000,,kuće,
Dialogue: 0,0:11:00.03,0:11:02.96,Default,,0000,0000,0000,,faunu,
Dialogue: 0,0:11:03.10,0:11:05.60,Default,,0000,0000,0000,,floru,..
Dialogue: 0,0:11:06.47,0:11:08.64,Default,,0000,0000,0000,,pomislite na atome,
Dialogue: 0,0:11:08.94,0:11:11.30,Default,,0000,0000,0000,,dijelove tijela,
Dialogue: 0,0:11:11.74,0:11:13.97,Default,,0000,0000,0000,,klimu,
Dialogue: 0,0:11:14.71,0:11:17.84,Default,,0000,0000,0000,,ili na odjeću koju nosite ..
Dialogue: 0,0:11:20.20,0:11:22.70,Default,,0000,0000,0000,,I shvatite da je sve definirano,
Dialogue: 0,0:11:22.85,0:11:24.80,Default,,0000,0000,0000,,ili stvoreno
Dialogue: 0,0:11:25.00,0:11:27.20,Default,,0000,0000,0000,,pomoću znanosti.
Dialogue: 0,0:11:33.89,0:11:36.20,Default,,0000,0000,0000,,Da bi razumjeli koncept znanosti,
Dialogue: 0,0:11:36.35,0:11:40.40,Default,,0000,0000,0000,,trebali biste znati što je znanstvena teorija:
Dialogue: 0,0:11:40.55,0:11:42.05,Default,,0000,0000,0000,,Znanstvena teorija
Dialogue: 0,0:11:42.20,0:11:44.55,Default,,0000,0000,0000,,obuhvaća skup koncepata,
Dialogue: 0,0:11:44.70,0:11:48.00,Default,,0000,0000,0000,,uključujući dijelove promatrajućeg fenomena,
Dialogue: 0,0:11:48.15,0:11:50.75,Default,,0000,0000,0000,,izraženog kao kvantificirane karakteristike,
Dialogue: 0,0:11:50.90,0:11:54.00,Default,,0000,0000,0000,,zajedno s pravilima (nazvanim znanstveni zakoni)
Dialogue: 0,0:11:54.15,0:11:55.75,Default,,0000,0000,0000,,koji izražavaju vezu
Dialogue: 0,0:11:55.90,0:11:58.70,Default,,0000,0000,0000,,između opažanja takvog koncepta.
Dialogue: 0,0:11:58.85,0:12:01.85,Default,,0000,0000,0000,,Znanstvena teorija je konstruirana da odgovara
Dialogue: 0,0:12:02.00,0:12:05.20,Default,,0000,0000,0000,,dostupnim empirijskim podacima o takvim opažanjima,
Dialogue: 0,0:12:05.35,0:12:08.80,Default,,0000,0000,0000,,i postavljena je kao princip ili grupa principa
Dialogue: 0,0:12:08.95,0:12:11.20,Default,,0000,0000,0000,,koji objašnjavaju takav fenomen.
Dialogue: 0,0:12:11.73,0:12:14.10,Default,,0000,0000,0000,,Znanstvena teorija je potpuno drugačija
Dialogue: 0,0:12:14.25,0:12:15.30,Default,,0000,0000,0000,,od bilo koje druge teorije,
Dialogue: 0,0:12:15.55,0:12:17.75,Default,,0000,0000,0000,,to je najvjerovatnija varijanta
Dialogue: 0,0:12:17.90,0:12:21.45,Default,,0000,0000,0000,,koja je rezultat najnovijih istraživanja.
Dialogue: 0,0:12:32.85,0:12:36.10,Default,,0000,0000,0000,,Znanost je najbolji alat ikad izumljen
Dialogue: 0,0:12:36.80,0:12:38.95,Default,,0000,0000,0000,,za razumijevanje funkcioniranja svijeta.
Dialogue: 0,0:12:39.10,0:12:42.00,Default,,0000,0000,0000,,Znanost je vrlo ljudski način znanja.
Dialogue: 0,0:12:42.20,0:12:44.80,Default,,0000,0000,0000,,Mi smo uvijek na granici poznatog.
Dialogue: 0,0:12:45.30,0:12:47.45,Default,,0000,0000,0000,,Znanost je poduzetnost u kojoj se surađuje
Dialogue: 0,0:12:50.70,0:12:53.25,Default,,0000,0000,0000,,Sjećamo se onih koji su nam pripremili put,
Dialogue: 0,0:12:54.00,0:12:56.55,Default,,0000,0000,0000,,gledajući naprijed.
Dialogue: 0,0:12:56.80,0:12:58.50,Default,,0000,0000,0000,,Ako ste znanstveno pismeni
Dialogue: 0,0:12:58.65,0:13:00.30,Default,,0000,0000,0000,,svijet vam izgleda potpuno drugačije,
Dialogue: 0,0:13:00.50,0:13:03.30,Default,,0000,0000,0000,,i to razumijevanje vas osnažuje.
Dialogue: 0,0:13:08.85,0:13:11.70,Default,,0000,0000,0000,,Postoji istinita poezija o stvarnom svijetu.
Dialogue: 0,0:13:12.10,0:13:15.25,Default,,0000,0000,0000,,Znanost je poezija o stvarnosti.
Dialogue: 0,0:13:15.70,0:13:18.15,Default,,0000,0000,0000,,Možemo biti znastvenici, i s njom,
Dialogue: 0,0:13:18.95,0:13:20.90,Default,,0000,0000,0000,,možemo poboljšati naše živote.
Dialogue: 0,0:13:21.20,0:13:23.95,Default,,0000,0000,0000,,Postoji prava poezija o stvarnom svijetu.
Dialogue: 0,0:13:24.20,0:13:27.10,Default,,0000,0000,0000,,Znanost je poezija o stvarnosti.
Dialogue: 0,0:13:27.35,0:13:30.10,Default,,0000,0000,0000,,Priča o ljudima je priča o idejama,
Dialogue: 0,0:13:30.35,0:13:33.55,Default,,0000,0000,0000,,koje osvjetljavaju mračne kuteve.
Dialogue: 0,0:13:39.90,0:13:44.50,Default,,0000,0000,0000,,Znanstvenici vole tajne, vole ne znati,
Dialogue: 0,0:13:45.50,0:13:48.35,Default,,0000,0000,0000,,ne bojim se neznanja,
Dialogue: 0,0:13:48.70,0:13:51.46,Default,,0000,0000,0000,,mislim da je tako puno zanimljivije.
Dialogue: 0,0:13:52.05,0:13:54.60,Default,,0000,0000,0000,,Postoji velika univerzalna stvarnost
Dialogue: 0,0:13:54.75,0:13:57.50,Default,,0000,0000,0000,,koje smo svi dio.
Dialogue: 0,0:13:57.65,0:14:00.35,Default,,0000,0000,0000,,Što istražujemo dublje u svemir
Dialogue: 0,0:14:00.42,0:14:03.55,Default,,0000,0000,0000,,to su otkrića izvanrednija.
Dialogue: 0,0:14:03.70,0:14:06.25,Default,,0000,0000,0000,,Potraga za istinom,
Dialogue: 0,0:14:06.35,0:14:09.35,Default,,0000,0000,0000,,je priča ispunjena uvidima.
Dialogue: 0,0:14:15.80,0:14:18.50,Default,,0000,0000,0000,,Postoji prava poezija o stvarnom svijetu.
Dialogue: 0,0:14:18.95,0:14:22.25,Default,,0000,0000,0000,,Znanost je poezija o stvarnosti.
Dialogue: 0,0:14:22.60,0:14:25.05,Default,,0000,0000,0000,,Možemo biti znanstvenici, i sa znanošću
Dialogue: 0,0:14:25.65,0:14:27.60,Default,,0000,0000,0000,,možemo poboljšati naše živote.
Dialogue: 0,0:14:27.95,0:14:30.60,Default,,0000,0000,0000,,Postoji prava poezija o stvarnom svijetu.
Dialogue: 0,0:14:30.80,0:14:34.00,Default,,0000,0000,0000,,Znanost je poezija o stvarnosti.
Dialogue: 0,0:14:34.15,0:14:37.35,Default,,0000,0000,0000,,Priča o ljudima je priča o idejama
Dialogue: 0,0:14:37.50,0:14:39.95,Default,,0000,0000,0000,,koje osvjetljavaju mračne kutove.
Dialogue: 0,0:14:40.05,0:14:43.00,Default,,0000,0000,0000,,Iz naše usamljene točke u svemiru,
Dialogue: 0,0:14:43.30,0:14:45.85,Default,,0000,0000,0000,,uz moć razmišljanja
Dialogue: 0,0:14:46.10,0:14:48.85,Default,,0000,0000,0000,,pogledali smo unatrag na kratak trenutak
Dialogue: 0,0:14:49.55,0:14:51.70,Default,,0000,0000,0000,,nakon postanka svemira.
Dialogue: 0,0:14:51.85,0:14:53.20,Default,,0000,0000,0000,,Mislim da znanost
Dialogue: 0,0:14:53.35,0:14:55.30,Default,,0000,0000,0000,,mijenja način na koji tvoj um funkcionira,
Dialogue: 0,0:14:55.45,0:14:58.15,Default,,0000,0000,0000,,da razmišljaš malo dublje o stvarima.
Dialogue: 0,0:14:58.50,0:15:01.55,Default,,0000,0000,0000,,Znanost zamijeni osobne predrasude
Dialogue: 0,0:15:01.70,0:15:04.15,Default,,0000,0000,0000,,čvrsto dokazanim činjenicama.
Dialogue: 0,0:15:04.35,0:15:07.30,Default,,0000,0000,0000,,Postoji prava poezija o stvarnom svijetu.
Dialogue: 0,0:15:07.60,0:15:10.95,Default,,0000,0000,0000,,Znanost je poezija stvarnosti.
Dialogue: 0,0:15:11.35,0:15:14.40,Default,,0000,0000,0000,,Možemo biti znanstvenici, i s njom
Dialogue: 0,0:15:14.55,0:15:16.30,Default,,0000,0000,0000,,možemo unaprijediti naše živote.
Dialogue: 0,0:15:16.50,0:15:19.35,Default,,0000,0000,0000,,[ Znanost je predivan alat za razumijevanje
Dialogue: 0,0:15:19.50,0:15:21.60,Default,,0000,0000,0000,,svijeta koji nas okružuje ]
Dialogue: 0,0:15:21.75,0:15:24.15,Default,,0000,0000,0000,,[ Zamisli ga kao povećalo
Dialogue: 0,0:15:24.30,0:15:26.25,Default,,0000,0000,0000,,kroz koje možeš vidjeti
Dialogue: 0,0:15:26.40,0:15:30.00,Default,,0000,0000,0000,,stvarnost koja te okružuje ]