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Napravio: Paolo Srok 3.sB
Kurt Gödel (1906.-
1978.)
• američki matematičar i logičar češkoga
podrijetla
• Doktorirao na Sveučilištu u Beču 1930.
• 1953- postao profesor u Institutu za
napredne studije u Princetonu,SAD
• Bavio se pretežito matematičkom logikom
• Jedan od najvećih mislilaca 20.st.
Kurt Gödel
• Veliki prijatelj Alberta Einsteina
• Stalno su provodili vrijeme skupa i nisu htjeli pričati s nikim drugim
• Potpune suprotnosti:
Einstein živ i pun smijeha
Godel- miran, povučen i pesimističan
Kurt Gödel
• Smatran najvećim logičarem nakon Aristotela
• Najdraži film “ Snjeguljica i sedam patuljaka”
• Paranoja ga je dovela do mišljenja da ga drugi matematičari žele ubiti
• Vjerovao je u duhove i izbjegavao ljudski kontakt
• Mogući nedijagnosticirani šizofreničar ili je patio od psihoza
Matematička logika
• grana matematike koja se bavi temeljima
matematike, prirodom matematičkih dokaza i
dokazivošću matematičkog zaključivanja
• Proučava logiku matematičkim sredstvima i
metodama
• Dijeli se na teoriju skupova, teoriju modela,
teoriju rekurzije i teoriju dokaza
• Danas i teorijska osnova računalstva
Najpoznatiji rezultat
• teorem prema kojem je svaki nekontradiktoran sustav aksioma
nepotpun, u smislu da mu se može dodati još jedan aksiom koji s njim
nije u suprotnosti
• Drugim riječima, ako je sustav aksioma nekontradiktoran, onda u
teoriji postoji tvrdnja koja se, služeći se samo polaznim aksiomima, ne
može ni dokazati ni opovrgnuti
Ostali rezultati
• Dokazao je da je logički nemoguće provesti dokaz nekontradiktornosti
nekoga sustava aksioma samim tim aksiomima
• Pronašao kozmološka rješenja Einsteinovih jednadžbi gravitacije
• Sugerirao je da se protok vremena u svemiru može petljati, što
teoretski ne isključuje mogućnost putovanja kroz vrijeme
Posljednje godine i
smrt
• Cijeli život patio od paranoje
• Prije smrti se stanje pogoršalo i patio je od
halucinacije
• Umro je 14.1.1978. u Princetonu u 71.godini
• Uzrok smrti: pothranjenost uzrokovana
poremećajem ličnosti
• Godinu dana prije smrti imao je manje od 30
kila
Izvori
• https://express.24sata.hr/life/zbog-paranoje-je-prestao-jesti-i-na-kraju-umro-od-gladi-
18816
• https://www.enciklopedija.hr/natuknica.aspx?ID=22466
• https://www.ias.edu/kurt-g%C3%B6del-life-work-and-legacy
• https://hr.kuzminykh.org/2198-kurt-gdel.html
Hvala na pažnji

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Kurt Gödel.pptx

  • 2. Kurt Gödel (1906.- 1978.) • američki matematičar i logičar češkoga podrijetla • Doktorirao na Sveučilištu u Beču 1930. • 1953- postao profesor u Institutu za napredne studije u Princetonu,SAD • Bavio se pretežito matematičkom logikom • Jedan od najvećih mislilaca 20.st.
  • 3. Kurt Gödel • Veliki prijatelj Alberta Einsteina • Stalno su provodili vrijeme skupa i nisu htjeli pričati s nikim drugim • Potpune suprotnosti: Einstein živ i pun smijeha Godel- miran, povučen i pesimističan
  • 4. Kurt Gödel • Smatran najvećim logičarem nakon Aristotela • Najdraži film “ Snjeguljica i sedam patuljaka” • Paranoja ga je dovela do mišljenja da ga drugi matematičari žele ubiti • Vjerovao je u duhove i izbjegavao ljudski kontakt • Mogući nedijagnosticirani šizofreničar ili je patio od psihoza
  • 5. Matematička logika • grana matematike koja se bavi temeljima matematike, prirodom matematičkih dokaza i dokazivošću matematičkog zaključivanja • Proučava logiku matematičkim sredstvima i metodama • Dijeli se na teoriju skupova, teoriju modela, teoriju rekurzije i teoriju dokaza • Danas i teorijska osnova računalstva
  • 6. Najpoznatiji rezultat • teorem prema kojem je svaki nekontradiktoran sustav aksioma nepotpun, u smislu da mu se može dodati još jedan aksiom koji s njim nije u suprotnosti • Drugim riječima, ako je sustav aksioma nekontradiktoran, onda u teoriji postoji tvrdnja koja se, služeći se samo polaznim aksiomima, ne može ni dokazati ni opovrgnuti
  • 7. Ostali rezultati • Dokazao je da je logički nemoguće provesti dokaz nekontradiktornosti nekoga sustava aksioma samim tim aksiomima • Pronašao kozmološka rješenja Einsteinovih jednadžbi gravitacije • Sugerirao je da se protok vremena u svemiru može petljati, što teoretski ne isključuje mogućnost putovanja kroz vrijeme
  • 8. Posljednje godine i smrt • Cijeli život patio od paranoje • Prije smrti se stanje pogoršalo i patio je od halucinacije • Umro je 14.1.1978. u Princetonu u 71.godini • Uzrok smrti: pothranjenost uzrokovana poremećajem ličnosti • Godinu dana prije smrti imao je manje od 30 kila