"Acta Fakulty filozofick\u00E9 Z\u00E1pado\u010Desk\u00E9 univerzity v Plzni" . "RIV/49777513:23330/10:00504456" . "Filosofick\u00E9 aspekty al-Chv\u00E1rizm\u00EDho Aritmetick\u00E9ho a Algebraick\u00E9ho trakt\u00E1tu" . . "Benediktov\u00E1, Marie" . "Al-Khwarizmi?s books Al-Kitab al-mukhtasar fi hisab al-jabr wa-l-muqabal (The Book of Aljabr and Almuqabala) and Al-Kitab al-jam wa-t-tafriq bi-hisab al-Hind (a source for Dixit Algorizmi) form the origin of the mathematics of calculations, i.e. arithmetic and algebra. The first Czech translation of these books with the commentary by Petr Vop\u011Bnka was published in 2008. The 2nd edition (2009), involves the three new additional texts. The purpose of this contribution is an introduction to these source books with stressing out origins of Arabic mathematics of calculations and the border lines between the Indian and Greek mathematics. The paper deals with also some philosophical and methodical aspects of them."@en . . "CZ - \u010Cesk\u00E1 republika" . . . "21"^^ . "Neuveden" . "Filosofick\u00E9 aspekty al-Chv\u00E1rizm\u00EDho Aritmetick\u00E9ho a Algebraick\u00E9ho trakt\u00E1tu"@cs . "Philosophical aspects of al-Kwarizmi's books The Book of Aljabr and Almuqabala and Dixit Algorizmi"@en . "Al-Chv\u00E1rizm\u00EDho Aritmetick\u00FD trakt\u00E1t je uveden\u00EDm do sv\u011Bta indick\u00E9ho po\u010D\u00EDt\u00E1n\u00ED s \u010D\u00EDsly nejv\u011Bt\u0161\u00EDmi, ale i nejmen\u0161\u00EDmi. Jde v\u0161ak o \u010D\u00EDsla, kter\u00E1 a\u010D se zdaj\u00ED na prvn\u00ED pohled zd\u00E1nliv\u011B nedostupn\u00E1, mohou vyvst\u00E1vat p\u0159ed obzorem jako re\u00E1ln\u011B jsouc\u00ED. Jeho c\u00EDlem je uk\u00E1zat, jak tato \u010D\u00EDsla uchopit a jak k nim uskute\u010Dnit cestu, pln\u011B pro\u017Eitou a pln\u011B vn\u00EDmatelnou. Cesta p\u0159edstavuje po\u010D\u00EDt\u00E1n\u00ED ve dvou \u010D\u00EDseln\u00FDch soustav\u00E1ch, des\u00EDtkov\u00E9 (pro \u010D\u00EDsla kladn\u00E1 cel\u00E1) a \u0161edes\u00E1tkov\u00E9 (pro zlomky). Algebraick\u00FD trakt\u00E1t je p\u0159itom pom\u016Fckou, jak se na sv\u011Bt \u010D\u00EDsel d\u00EDvat co nejjednodu\u0161eji. Pojedn\u00E1v\u00E1 o \u010D\u00EDslech (a to v rovin\u011B s\u00E9mantiky a algebry), aby pomohla \u0159e\u0161it jednoduch\u00E9 ot\u00E1zky aritmetiky, ty slo\u017Eit\u00E9 spadaj\u00ED do trakt\u00E1tu aritmetick\u00E9ho. Up\u0159ednostn\u00EDme p\u0159itom tento pohled, kter\u00FD je v preambuli Algebraick\u00E9ho textu dokl\u00E1d\u00E1n, oproti \u010Dast\u00E9mu \u010Dten\u00ED pro zp\u016Fsob v\u00FDpo\u010Dtu ko\u0159en\u016F kvadratick\u00E9 rovnice (dne\u0161n\u00EDmi slovy), op\u0159en\u00E9ho o n\u00E1zornost \u0159eck\u00E9 matematiky. C\u00EDlem t\u00E9to studie je uk\u00E1zat r\u016Fzn\u00E9 filosofick\u00E9 aspekty obou t\u011Bchto z\u00E1kladn\u00EDch kamen\u016F matematick\u00E9ho my\u0161len\u00ED."@cs . "1802-0364" . "Philosophical aspects of al-Kwarizmi's books The Book of Aljabr and Almuqabala and Dixit Algorizmi"@en . "1"^^ . . . "1"^^ . "[A813FF8FF945]" . . "Filosofick\u00E9 aspekty al-Chv\u00E1rizm\u00EDho Aritmetick\u00E9ho a Algebraick\u00E9ho trakt\u00E1tu"@cs . . "259101" . "RIV/49777513:23330/10:00504456!RIV11-GA0-23330___" . . "3" . "23330" . . . . . "Filosofick\u00E9 aspekty al-Chv\u00E1rizm\u00EDho Aritmetick\u00E9ho a Algebraick\u00E9ho trakt\u00E1tu" . . "al-Kwarizmi; source texts of the mathematics; arithmetic; algebra; Arabic mathematics of the 9th century"@en . . . . "Al-Chv\u00E1rizm\u00EDho Aritmetick\u00FD trakt\u00E1t je uveden\u00EDm do sv\u011Bta indick\u00E9ho po\u010D\u00EDt\u00E1n\u00ED s \u010D\u00EDsly nejv\u011Bt\u0161\u00EDmi, ale i nejmen\u0161\u00EDmi. Jde v\u0161ak o \u010D\u00EDsla, kter\u00E1 a\u010D se zdaj\u00ED na prvn\u00ED pohled zd\u00E1nliv\u011B nedostupn\u00E1, mohou vyvst\u00E1vat p\u0159ed obzorem jako re\u00E1ln\u011B jsouc\u00ED. Jeho c\u00EDlem je uk\u00E1zat, jak tato \u010D\u00EDsla uchopit a jak k nim uskute\u010Dnit cestu, pln\u011B pro\u017Eitou a pln\u011B vn\u00EDmatelnou. Cesta p\u0159edstavuje po\u010D\u00EDt\u00E1n\u00ED ve dvou \u010D\u00EDseln\u00FDch soustav\u00E1ch, des\u00EDtkov\u00E9 (pro \u010D\u00EDsla kladn\u00E1 cel\u00E1) a \u0161edes\u00E1tkov\u00E9 (pro zlomky). Algebraick\u00FD trakt\u00E1t je p\u0159itom pom\u016Fckou, jak se na sv\u011Bt \u010D\u00EDsel d\u00EDvat co nejjednodu\u0161eji. Pojedn\u00E1v\u00E1 o \u010D\u00EDslech (a to v rovin\u011B s\u00E9mantiky a algebry), aby pomohla \u0159e\u0161it jednoduch\u00E9 ot\u00E1zky aritmetiky, ty slo\u017Eit\u00E9 spadaj\u00ED do trakt\u00E1tu aritmetick\u00E9ho. Up\u0159ednostn\u00EDme p\u0159itom tento pohled, kter\u00FD je v preambuli Algebraick\u00E9ho textu dokl\u00E1d\u00E1n, oproti \u010Dast\u00E9mu \u010Dten\u00ED pro zp\u016Fsob v\u00FDpo\u010Dtu ko\u0159en\u016F kvadratick\u00E9 rovnice (dne\u0161n\u00EDmi slovy), op\u0159en\u00E9ho o n\u00E1zornost \u0159eck\u00E9 matematiky. C\u00EDlem t\u00E9to studie je uk\u00E1zat r\u016Fzn\u00E9 filosofick\u00E9 aspekty obou t\u011Bchto z\u00E1kladn\u00EDch kamen\u016F matematick\u00E9ho my\u0161len\u00ED." . "P(GAP401/10/0690)" .