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Asper M. Mathematik, Milieu, Text. Die frühgriechische(n) Mathematik(en) und ihr Umfeld. [Mathematics, milieu, text]. Sudhoffs Arch. 2003;87(1):1-31
Asper, M. (2003). Mathematik, Milieu, Text. Die frühgriechische(n) Mathematik(en) und ihr Umfeld. [Mathematics, milieu, text]. Sudhoffs Archiv, 87(1), 1-31.
Asper, Markus. "Mathematik, Milieu, Text. Die frühgriechische(n) Mathematik(en) und ihr Umfeld." [Mathematics, milieu, text]. Sudhoffs Archiv vol. 87,1 (2003): 1-31.
Asper M. Mathematik, Milieu, Text. Die frühgriechische(n) Mathematik(en) und ihr Umfeld. [Mathematics, milieu, text]. Sudhoffs Arch. 2003;87(1):1-31. German. PMID: 12852091.
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Sudhoffs Arch. 2003;87(1):1-31.

[Mathematics, milieu, text].

Sudhoffs Archiv

[Article in German]
Markus Asper

PMID: 12852091

Abstract

Greek theoretical mathematics emerges among sixth-century Ionians from a background of professional practitioners, concerned chiefly with arithmetical operations. Its characteristical features (impersonalization, standardization, diagrams) develop as part of an elitist play of distinction at fifth- and fourth-century Athens, mainly to ascertain the tradition of that knowledge without adequate institutions. Sophists challenge the mathematicians' practices, philosophers adopt the mathematicians' knowledge as a model of truth, but the mathematicians themselves remain autonomous. Even hellenistic mathematics, semi-institutionalized at royal courts, is little more than a private affair of a narrow circle of intellectuals. All this time the practitioners' traditions persist basically unaltered and constantly present the theoreticians with a social and epistemic background to differentiate "their" mathematics from. Finally, these two branches of Greek mathematics, a practical and a theoretical one, are describable as reciprocally systematized forms of knowledge.

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