Authors:
- Includes Greek texts with associated translation
- Contains several appendices and rich indices
- Is of interest to linguists and historians of ancient philosophy
Part of the book series: Sources and Studies in the History of Mathematics and Physical Sciences (SHMP)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics; the second expounds in detail the mechanism of "validation"; the third deals with the status of mathematical objects and the problem of mathematical generality; the fourth analyzes the main features of the "deductive machine," i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof; and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well.
Reviews
“This is a deep and detailed linguistic study of ancient Greek mathematical texts. … This wide-ranging book exploits the resources of several disciplines including classical philology, manuscript studies, statistical analysis, and computational linguistics, as well as the history and philosophy of mathematics. It will doubtless be much used as a reference work in those disciplines.” (Paul Thom, Mathematical Reviews, May, 2022)
Authors and Affiliations
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Le laboratoire ORIENT & MÉDITERRANÉE, CNRS, Paris, France
Fabio Acerbi
Bibliographic Information
Book Title: The Logical Syntax of Greek Mathematics
Authors: Fabio Acerbi
Series Title: Sources and Studies in the History of Mathematics and Physical Sciences
DOI: https://doi.org/10.1007/978-3-030-76959-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-76958-1Published: 23 June 2021
eBook ISBN: 978-3-030-76959-8Published: 21 June 2021
Series ISSN: 2196-8810
Series E-ISSN: 2196-8829
Edition Number: 1
Number of Pages: XII, 396
Number of Illustrations: 3 b/w illustrations, 9 illustrations in colour
Topics: History of Mathematical Sciences