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  6. The Logical Syntax of Greek Mathematics

The Logical Syntax of Greek Mathematics

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-15% su kodu: ENG15
187,17 €
Įprasta kaina: 220,20 €
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
187,17 €
Įprasta kaina: 220,20 €
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
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2025-02-28 220.2000 InStock
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Knygos aprašymas

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.

Informacija

Autorius: Fabio Acerbi
Serija: Sources and Studies in the History of Mathematics and Physical Sciences
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2021
Knygos puslapių skaičius: 408
ISBN-10: 3030769585
ISBN-13: 9783030769581
Formatas: 241 x 160 x 28 mm. Knyga kietu viršeliu
Kalba: Anglų

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