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The Logical Syntax of Greek Mathematics (English, Greek, Hardcover, 1st ed. 2021)
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The Logical Syntax of Greek Mathematics (English, Greek, Hardcover, 1st ed. 2021)
Series: Sources and Studies in the History of Mathematics and Physical Sciences
Expected to ship within 12 - 19 working days
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The aim of this monograph is to describe Greek mathematics as a
literary product, studying its style from a logico-syntactic point
of view and setting parallels with logical and grammatical
doctrines developed in antiquity. In this way, major philosophical
themes such as the expression of mathematical generality and the
selection of criteria of validity for arguments can be treated
without anachronism. Thus, the book is of interest for both
historians of ancient philosophy and specialists in Ancient Greek,
in addition to historians of mathematics. 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.
General
| Imprint: |
Springer Nature Switzerland AG
|
| Country of origin: |
Switzerland |
| Series: |
Sources and Studies in the History of Mathematics and Physical Sciences |
| Release date: |
June 2021 |
| First published: |
2021 |
| Authors: |
Fabio Acerbi
|
| Dimensions: |
235 x 155mm (L x W) |
| Format: |
Hardcover
|
| Pages: |
396 |
| Edition: |
1st ed. 2021 |
| ISBN-13: |
978-3-03-076958-1 |
| Languages: |
English
•
Greek
|
| Categories: |
Books >
Science & Mathematics >
Mathematics >
History of mathematics
Promotions
|
| LSN: |
3-03-076958-5 |
| Barcode: |
9783030769581 |
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