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The Logical Syntax of Greek Mathematics
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Catalogue Information
Field name
Details
Dewey Class
510.9
Title
The Logical Syntax of Greek Mathematics ([EBook] /) / by Fabio Acerbi.
Author
Acerbi, Fabio
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details
XII, 396 p. 12 illus., 9 illus. in color. : online resource.
Series
Sources and studies in the history of mathematics and physical sciences
2196-8829
ISBN
9783030769598
Summary Note
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. .:
Contents note
1. The Three Stylistic Codes of Greek Mathematics -- 2. Validation and Templates -- 3. The Problem of Mathematical Generality -- 4. The Deductive Machine -- 5. The Logical Syntax -- Appendices -- Bibliography -- Indices.
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-76959-8
Links to Related Works
Subject References:
History
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History of Mathematical Sciences
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Mathematics
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Authors:
Acerbi, Fabio
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author
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SpringerLink (Online service)
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Series:
Sources and studies in the history of mathematics and physical sciences
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Classification:
510.9
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