. . . "RIV/49777513:23640/10:00504957" . "Benediktov\u00E1, Marie" . "P(EE2.3.09.0070), P(GAP401/10/0690)" . . "247611" . "Arabic mathematics. Mathematization thought calculus"@en . "Arabic mathematics. Mathematization thought calculus"@en . . "C\u00EDlem tohoto p\u0159\u00EDsp\u011Bvku je p\u0159isp\u011Bt k t\u00E9matu matematizace ve v\u011Bd\u011B z pohledu vznik\u00E1n\u00ED matematick\u00FDch discipl\u00EDn. Zam\u011B\u0159\u00EDm se na historick\u00E9 souvislosti zrodu arabsk\u00E9ho kalkulu, a to jak algebraick\u00E9ho, tak i aritmetick\u00E9ho. Pokus\u00EDm se uk\u00E1zat, \u017Ee ani v jednom p\u0159\u00EDpad\u00EC tyto abstrakce nevznikly ex nihilo, \u017Ee m\u011Bly ve sv\u011Bt\u011B oporu ji\u017E dan\u00FDmi matematick\u00FDmi \u010Di protomatematick\u00FDmi strukturami. P\u0159\u00EDb\u011Bh arabsk\u00E9 matematiky ve v\u00FDvoji evropsk\u00E9 matematizace tak nav\u00E1\u017Ee na tradici starobabylonskou, \u0159eckou i indickou. Na\u010Drtnu d\u016Fvody, pro\u010D nov\u011B vznikaj\u00EDc\u00ED abstraktn\u00ED algebraick\u00FD kalkulus m\u011Bl pevnou oporu v \u0159eck\u00E9 (antick\u00E9 syntetick\u00E9) geometrii a \u017Ee arabsk\u00E9 um\u011Bn\u00ED aritmetick\u00E9 bylo pr\u016Flomov\u00E9 d\u00EDky zaveden\u00ED nov\u00E9ho prvku do matematiky -- algoritmu a abstraktn\u00EDho uchopen\u00ED po\u010Dtu jako\u017Eto \u010D\u00EDsla. Budu p\u0159itom vych\u00E1zet z al-Chv\u00E1rizm\u00EDho matematick\u00FDch spis\u016F, kter\u00E9 pod n\u00E1zvem Algebraick\u00FD a Aritmetick\u00FD trakt\u00E1t vy\u0161ly ned\u00E1vno v \u010Desk\u00E9m p\u0159ekladu." . "23640" . . "RIV/49777513:23640/10:00504957!RIV11-GA0-23640___" . "1"^^ . . "mathematization; Arabic mathematics; history of mathematics; philosophy of mathematics; arithmetic; algebra"@en . . . . . "C\u00EDlem tohoto p\u0159\u00EDsp\u011Bvku je p\u0159isp\u011Bt k t\u00E9matu matematizace ve v\u011Bd\u011B z pohledu vznik\u00E1n\u00ED matematick\u00FDch discipl\u00EDn. Zam\u011B\u0159\u00EDm se na historick\u00E9 souvislosti zrodu arabsk\u00E9ho kalkulu, a to jak algebraick\u00E9ho, tak i aritmetick\u00E9ho. Pokus\u00EDm se uk\u00E1zat, \u017Ee ani v jednom p\u0159\u00EDpad\u00EC tyto abstrakce nevznikly ex nihilo, \u017Ee m\u011Bly ve sv\u011Bt\u011B oporu ji\u017E dan\u00FDmi matematick\u00FDmi \u010Di protomatematick\u00FDmi strukturami. P\u0159\u00EDb\u011Bh arabsk\u00E9 matematiky ve v\u00FDvoji evropsk\u00E9 matematizace tak nav\u00E1\u017Ee na tradici starobabylonskou, \u0159eckou i indickou. Na\u010Drtnu d\u016Fvody, pro\u010D nov\u011B vznikaj\u00EDc\u00ED abstraktn\u00ED algebraick\u00FD kalkulus m\u011Bl pevnou oporu v \u0159eck\u00E9 (antick\u00E9 syntetick\u00E9) geometrii a \u017Ee arabsk\u00E9 um\u011Bn\u00ED aritmetick\u00E9 bylo pr\u016Flomov\u00E9 d\u00EDky zaveden\u00ED nov\u00E9ho prvku do matematiky -- algoritmu a abstraktn\u00EDho uchopen\u00ED po\u010Dtu jako\u017Eto \u010D\u00EDsla. Budu p\u0159itom vych\u00E1zet z al-Chv\u00E1rizm\u00EDho matematick\u00FDch spis\u016F, kter\u00E9 pod n\u00E1zvem Algebraick\u00FD a Aritmetick\u00FD trakt\u00E1t vy\u0161ly ned\u00E1vno v \u010Desk\u00E9m p\u0159ekladu."@cs . . . "Arabsk\u00E1 matematika. Matematizace pomoc\u00ED kalkulu" . . . . "The goal of this talk is a contribution to the mathematization in science from the point of view of rising of mathematical disciplines. I focus on historical connections of origin of Arabic calculus, i.e. algebra and arithmetics. I try to show the abstractions are not come up ex nihil. I point out ancient Greek geometry as a support to Arabian algebra and Indian mathematics to arithmetic."@en . "[21FDB9D8978C]" . "Arabsk\u00E1 matematika. Matematizace pomoc\u00ED kalkulu"@cs . . "Arabsk\u00E1 matematika. Matematizace pomoc\u00ED kalkulu"@cs . "1"^^ . "Arabsk\u00E1 matematika. Matematizace pomoc\u00ED kalkulu" . . .