國立高雄大學圖資館 |

Language: English

Back

The logical syntax of Greek mathematics

Acerbi, Fabio.

The logical syntax of Greek mathematics

Record Type:	Electronic resources : Monograph/item
Title/Author:	The logical syntax of Greek mathematicsby Fabio Acerbi.
Author:	Acerbi, Fabio.
Published:	Cham :Springer International Publishing :2021.
Description:	xii, 396 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematics, Greek.
Online resource:	https://doi.org/10.1007/978-3-030-76959-8
ISBN:	9783030769598$q(electronic bk.)

The logical syntax of Greek mathematics
Acerbi, Fabio.

The logical syntax of Greek mathematics[electronic resource] /by Fabio Acerbi. - Cham :Springer International Publishing :2021. - xii, 396 p. :ill., digital ;24 cm. - Sources and studies in the history of mathematics and physical sciences,2196-8810. - Sources and studies in the history of mathematics and physical sciences..

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.

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.

ISBN: 9783030769598$q(electronic bk.)

Standard No.: 10.1007/978-3-030-76959-8doiSubjects--Topical Terms:

189537
Mathematics, Greek.

LC Class. No.: QA22 / .A247 2021

Dewey Class. No.: 510.938

The logical syntax of Greek mathematics
LDR:02613nmm a2200337 a 4500 001 602508
003 DE-He213
005 20210625111044.0
006 m d
007 cr nn 008maaau
008 211112s2021 sz s 0 eng d
020 $a 9783030769598$q(electronic bk.)
020 $a 9783030769581$q(paper)
024 7 $a 10.1007/978-3-030-76959-8 $2 doi
035 $a 978-3-030-76959-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA22 $b .A247 2021
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 510.938 $2 23
090 $a QA22 $b .A173 2021
100 1 $a Acerbi, Fabio. $3 898220
245 1 4 $a The logical syntax of Greek mathematics $h [electronic resource] / $c by Fabio Acerbi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xii, 396 p. : $b ill., digital ; $c 24 cm.
490 1 $a Sources and studies in the history of mathematics and physical sciences, $x 2196-8810
505 0 $a 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.
520 $a 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.
650 0 $a Mathematics, Greek. $3 189537
650 1 4 $a History of Mathematical Sciences. $3 511733
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Sources and studies in the history of mathematics and physical sciences. $3 345315
856 4 0 $u https://doi.org/10.1007/978-3-030-76959-8
950 $a Mathematics and Statistics (SpringerNature-11649)