LEADER 04236nam 2200553 450 001 9910796769003321 005 20200520144314.0 010 $a3-11-056527-7 010 $a3-11-056595-1 024 7 $a10.1515/9783110565959 035 $a(CKB)4100000003666433 035 $a(MiAaPQ)EBC5402724 035 $a(DE-B1597)488110 035 $a(OCoLC)1037983198 035 $a(DE-B1597)9783110565959 035 $a(Au-PeEL)EBL5402724 035 $a(CaPaEBR)ebr11566324 035 $a(PPN)22729162X 035 $a(EXLCZ)994100000003666433 100 $a20180627d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aRevolutions and continuity in Greek mathematics /$fedited by Michalis Sialaros 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$dİ2018 215 $a1 online resource (404 pages) 225 0 $aScience, Technology, and Medicine in Ancient Cultures ;$v8 311 $a3-11-056365-7 327 $tFrontmatter -- $tPreface / $rSialaros, Michalis -- $tContents -- $tNotes on Contributors -- $tIntroduction: Revolutions in Greek Mathematics / $rSialaros, Michalis -- $tCounter-Revolutions in Mathematics / $rUnguru, Sabetai -- $tDiophantus and Premodern Algebra: New Light on an Old Image / $rChristianidis, Jean -- $tGeometer, in a Landscape: Embodied Mathematics in Hero's Dioptra / $rRoby, Courtney -- $tHow Much Does a Theorem Cost? / $rSialaros, Michalis -- $tDiagrammatizing Mathematics: Some Remarks on a Revolutionary Aspect of Ancient Greek Mathematics / $rLattmann, Claas -- $tComposition and Removal of Ratios in Geometric and Logistic Texts from the Hellenistic to the Byzantine Period / $rAcerbi, Fabio -- $tWhy Did the Greeks Develop Proportion Theory? A Conjecture / $rMendell, Henry -- $tRecursive Knowledge Procedures Informing the Design of the Parthenon : One Instance of Continuity between Greek and Near Eastern Mathematical Practices / $rLehman, Geoff / Weinman, Michael -- $tDiophantus, al-Karaj?, and Quadratic Equations / $rOaks, Jeffrey A. -- $tSubstantiae sunt sicut numeri: Aristotle on the Structure of Numbers / $rGalluzzo, Gabriele -- $tThe Axiomatization of Mathematics and Plato's Conception of Knowledge in the Meno and the Republic / $rKarasmanis, Vassilis -- $tThe Anthyphairetic Revolutions of the Platonic Ideas / $rNegrepontis, Stelios -- $tName index -- $tGeneral index 330 $aThis volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical 'revolutions' and 'continuity'. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn's ideas on 'scientific revolutions' to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on 'geometrical algebra' and 'premodern algebra', the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of 'continuity' between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle. 606 $aMathematics, Greek 606 $aGeometry$xHistory 610 $aGreek Mathematics. 610 $aScientific Revolutions. 610 $aThomas Kuhn. 615 0$aMathematics, Greek. 615 0$aGeometry$xHistory. 676 $a510.938 702 $aSialaros$b Michalis 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796769003321 996 $aRevolutions and continuity in Greek mathematics$93856226 997 $aUNINA