Descripción del título
The Logical Syntax of Greek...
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.
Monografía
monografia Rebiun29136257 https://catalogo.rebiun.org/rebiun/record/Rebiun29136257 DE-He213 cr nn 008mamaa 210723s2021 gw | s |||| 0|eng d 9783030769598 978-3-030-76959-8 10.1007/978-3-030-76959-8 doi UPNA0543269 UR0515919 UPVA 997742297303706 UAM 991008097529704211 UCAR 991008232802604213 CBUC 991010501355106709 CBUC 991012559244006708 UR PBX bicssc MAT015000 bisacsh PBX thema 510.9 23 Acerbi, Fabio. author. https://orcid.org/0000-0003-1909-1275. aut. http://id.loc.gov/vocabulary/relators/aut The Logical Syntax of Greek Mathematics electronic resource] by Fabio Acerbi. 1st ed. 2021 Cham Springer International Publishing Imprint: Springer 2021. Cham Cham Springer International Publishing Imprint: Springer XII, 396 p. 12 illus., 9 illus. in color. online resource. XII, 396 p. 12 illus., 9 illus. in color. Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Sources and Studies in the History of Mathematics and Physical Sciences 2196-8810 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. Mathematics. History. History of Mathematical Sciences. SpringerLink (Online service) Springer Nature eBook Springer Nature eBook Printed edition 9783030769581 Printed edition 9783030769604 Sources and Studies in the History of Mathematics and Physical Sciences 2196-8810.