## History of Science, History of Texttwo main (interacting) ways. They constitute that with which exploration into problems or questions is carried out. But they also constitute that which is exchanged between scholars or, in other terms, that which is shaped by one (or by some) for use by others. In these various dimensions, texts obviously depend on the means and technologies available for producing, reproducing, using and organizing writings. In this regard, the contribution of a history of text is essential in helping us approach the various historical contexts from which our sources originate. However, there is more to it. While shaping texts as texts, the practitioners of the sciences may create new textual resources that intimately relate to the research carried on. One may think, for instance, of the process of introduction of formulas in mathematical texts. This aspect opens up a wholerangeofextremelyinterestingquestionstowhichwewillreturnatalaterpoint.But practitioners of the sciences also rely on texts produced by themselves or others, which they bring into play in various ways. More generally, they make use of textual resources of every kind that is available to them, reshaping them, restricting, or enlarging them. Among these, one can think of ways of naming, syntax of statements or grammatical analysis, literary techniques, modes of shaping texts or parts of text, genres of text and so on.Inthissense,thepractitionersdependon,anddrawon,the“textualcultures”available to the social and professional groups to which they belong. |

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### Contents

WHAT IS A TEXT? Spatial Organization of Ancient Chinese Texts Preliminary Remarks | 3 |

Text as Process 51 | 53 |

The Production of Cultural Authority | 81 |

A Reaction to Michael Cahns Paper | 97 |

The Algebraic Art of Discourse Algebraic Dispositio Invention | 122 |

An Oral Tradition | 137 |

The Limits of Text in Greek Mathematics | 161 |

A ThriceTold Tale | 177 |

What is the Content of this Book? A Plea for Developing History | 201 |

EPILOGUE | 231 |

247 | |

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Akkadian algebra algorithm ancient Babylonian Babylonian mathematical bamboo slips Buffon cardinally-oriented century Chemla China Chinese Chinese mathematical Chu Silk Manuscript Clunas coefficients collected edition commentary computations context corpus culture diagram divinatory equation Essays Euclid’s Elements Euler example expression figure formulas geometrical Georges Louis Leclerc Greek mathematics guan Guo Moruo history of science history of text Hong fan inscriptions interpretation ISBN Knobloch knowledge L’Alg`ebre layout Leibniz Lianyungang Ling Liu Hui mathematical texts Mawangdui meaning method Ming modern multiplication non-linear textual numerology Opera Omnia oral original paper Paris partitions Peletier Peletier’s Philosophy of Science plastron practice problem procedure produced published question R.S. Cohen reader reading reference representation Ritter s¯utra Sanskrit scientific texts specific spherical trigonometry square Studies Synthese Library tablet techniques textual passages textual structures tradition transformation translation triangle Vedic verbal volumes words writing written Ye’s Zhengming