LIBERO WebOPAC Catalogue Display (W561)

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 . History of Mathematical Sciences . Mathematics . Authors: Acerbi, Fabio . author . Corporate Authors: SpringerLink (Online service) . Series: Sources and studies in the history of mathematics and physical sciences . Classification: 510.9 .

Catalogue Display

The Logical Syntax of Greek Mathematics

Reviews