The History of Mathematical Proof in Ancient Traditions

Mathematical proof: a research programme 63 operations. Moreover, within the context of distinct practices of proof, these basic ...

64 karine chemla Such are some of the general issues that emerged from our histori- cal analysis of ancient practices of proofs. ...

Mathematical proof: a research programme 65 ( 2008 b) Classic and Commentary: An Outlook Based on Mathematical Sources. Preprint ...

66 karine chemla J a ff e , A. , and Quinn , F. ( 1993 ) ‘ “Th eoretical mathematics”: toward a cultural synthesis of mathematic ...

Mathematical proof: a research programme 67 ( 1984 ) ‘ Sciences et techniques dans l’œuvre de Ricci ’, Recherches de science rel ...

68 karine chemla Yabuuti Kiyosi ( K. Baba and C. Jami , trans.) ( 2000 ) Une Histoire des mathématiques chinoises. Paris. Yeo , ...

69 1 Th e Euclidean ideal of proof in Th e Elements and philological uncertainties of Heiberg’s edition of the text Bernard Vitr ...

70 bernard vitrac Euclid or the Euclid of the sixteenth century. Rather, this Euclid indicates the third-century Hellenistic geo ...

Th e Elements and uncertainties in Heiberg’s edition 71 Greek antiquity, when there existed neither printing press nor any form ...

72 bernard vitrac Th e fi rst operation, apparently begun in Rome at the beginning of our era, is nothing more than the adoption ...

Th e Elements and uncertainties in Heiberg’s edition 73 ‘authorized’ manners which played a decisive role in the transmission. T ...

74 bernard vitrac recent to the third century. In contrast to the manuscripts, the papyri have the privileged position of being ...

Th e Elements and uncertainties in Heiberg’s edition 75 (see Figure 1.1). Generally, it is used to decide between variant manusc ...

76 bernard vitrac In the case of the Elements , the group of sources which constitutes the indi- rect tradition is rich. First o ...

Th e Elements and uncertainties in Heiberg’s edition 77 manuscripts elaborated in the Byzantine world. Consequently, important d ...

78 bernard vitrac for the establishment of his edition. A debate – but not to say a polemic 18 – between the two scholars follow ...

Th e Elements and uncertainties in Heiberg’s edition 79 unavoidable variations between manuscripts. Klamroth further declared th ...

80 bernard vitrac attributable to Th eon of Alexandria. In fact, we have a (single) example of this authorial division. Th eon i ...

Th e Elements and uncertainties in Heiberg’s edition 81 site was the case for Proposition xi .38 vulgo. Heiberg considered that ...

82 bernard vitrac the beginning to a lower-quality model was not taken into account by the Danish editor. Th e portion b xi .36– ...