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020 _a9783110563658
_qprint
020 _a9783110565270
_qEPUB
020 _a9783110565959
_qPDF
024 7 _a10.1515/9783110565959
_2doi
035 _a(DE-B1597)9783110565959
035 _a(DE-B1597)488110
035 _a(OCoLC)1037983198
040 _aDE-B1597
_beng
_cDE-B1597
_erda
050 4 _aQA31
_b.R48 2018
072 7 _aHIS002000
_2bisacsh
082 0 4 _a510.938
_223
084 _aonline - DeGruyter
245 0 0 _aRevolutions and Continuity in Greek Mathematics /
_ced. by Michalis Sialaros.
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2018]
264 4 _c©2018
300 _a1 online resource (X, 391 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aScience, Technology, and Medicine in Ancient Cultures ,
_x2194-976X ;
_v8
505 0 0 _tFrontmatter --
_tPreface --
_tContents --
_tNotes on Contributors --
_tIntroduction: Revolutions in Greek Mathematics --
_tCounter-Revolutions in Mathematics --
_tDiophantus and Premodern Algebra: New Light on an Old Image --
_tGeometer, in a Landscape: Embodied Mathematics in Hero’s Dioptra --
_tHow Much Does a Theorem Cost? --
_tDiagrammatizing Mathematics: Some Remarks on a Revolutionary Aspect of Ancient Greek Mathematics --
_tComposition and Removal of Ratios in Geometric and Logistic Texts from the Hellenistic to the Byzantine Period --
_tWhy Did the Greeks Develop Proportion Theory? A Conjecture --
_tRecursive Knowledge Procedures Informing the Design of the Parthenon : One Instance of Continuity between Greek and Near Eastern Mathematical Practices --
_tDiophantus, al-Karajī, and Quadratic Equations --
_tSubstantiae sunt sicut numeri: Aristotle on the Structure of Numbers --
_tThe Axiomatization of Mathematics and Plato’s Conception of Knowledge in the Meno and the Republic --
_tThe Anthyphairetic Revolutions of the Platonic Ideas --
_tName index --
_tGeneral index
506 0 _arestricted access
_uhttp://purl.org/coar/access_right/c_16ec
_fonline access with authorization
_2star
520 _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.
530 _aIssued also in print.
538 _aMode of access: Internet via World Wide Web.
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
650 0 _aGeometry
_xHistory.
650 0 _aMathematics, Greek.
650 4 _aAltertum.
650 4 _aMathematik.
650 4 _aRevolution.
650 4 _aThomas Kuhn.
650 7 _aHISTORY / Ancient / General.
_2bisacsh
653 _aGreek Mathematics.
653 _aScientific Revolutions.
653 _aThomas Kuhn.
700 1 _aAcerbi, Fabio
_eautore
700 1 _aChristianidis, Jean
_eautore
700 1 _aGalluzzo, Gabriele
_eautore
700 1 _aKarasmanis, Vassilis
_eautore
700 1 _aLattmann, Claas
_eautore
700 1 _aLehman, Geoff
_eautore
700 1 _aMendell, Henry
_eautore
700 1 _aNegrepontis, Stelios
_eautore
700 1 _aOaks, Jeffrey A.
_eautore
700 1 _aRoby, Courtney
_eautore
700 1 _aSialaros, Michalis
_eautore
_ecuratore
700 1 _aUnguru, Sabetai
_eautore
700 1 _aWeinman, Michael
_eautore
850 _aIT-RoAPU
856 4 0 _uhttps://doi.org/10.1515/9783110565959
856 4 0 _uhttps://www.degruyter.com/isbn/9783110565959
856 4 2 _3Cover
_uhttps://www.degruyter.com/document/cover/isbn/9783110565959/original
942 _cEB
999 _c240232
_d240232