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MARC 21

The Logical Syntax of Greek Mathematics
Tag	Description
020	$a9783030769598$9978-3-030-76959-8
082	$a510.9$223
099	$aOnline resource: Springer
100	$aAcerbi, Fabio.$eauthor.$0(orcid)0000-0003-1909-1275$1https://orcid.org/0000-0003-1909-1275$4aut$4http://id.loc.gov/vocabulary/relators/aut
245	$aThe Logical Syntax of Greek Mathematics$h[EBook] /$cby Fabio Acerbi.
250	$a1st ed. 2021.
260	$aCham :$bSpringer International Publishing :$bImprint: Springer,$c2021.
300	$aXII, 396 p. 12 illus., 9 illus. in color.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8829
505	$a1. 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	$aThe 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. .
533	$nMode 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
710	$aSpringerLink (Online service)
830	$aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8829
856	$uhttps://doi.org/10.1007/978-3-030-76959-8