The Logical Syntax Of Greek Mathematics
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The Logical Syntax Of Greek Mathematics
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Author : Fabio Acerbi
language : el
Publisher: Springer Nature
Release Date : 2021-06-21
The Logical Syntax Of Greek Mathematics written by Fabio Acerbi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.
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.
The Shaping Of Deduction In Greek Mathematics
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Author : Reviel Netz
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-18
The Shaping Of Deduction In Greek Mathematics written by Reviel Netz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-18 with History categories.
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
The Beginnings Of Greek Mathematics
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Author : A. Szabó
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Beginnings Of Greek Mathematics written by A. Szabó and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with History categories.
When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the 'Elements'. I hoped that this appendix, although different in some ways from the rest of the book, would serve to illustrate the kind of research which needs to be undertaken, if we are to acquire a new understanding of the historical development of Greek mathematics. It should perhaps be mentioned that this book is not intended to be an introduction to Greek mathematics for the general reader; its aim is to bring the problems associated with the early history of deductive science to the attention of classical scholars, and historians and philos ophers of science. I should like to conclude by thanking my translator, Mr. A. M. Ungar, who worked hard to produce something more than a mechanical translation. Much of his work was carried out during the year which I spent at Stanford as a fellow of the Center for Advanced Study in the Behavioral Sciences. This enabled me to supervise the work of transla tion as it progressed. I am happy to express my gratitude to the Center for providing me with this opportunity. Arpad Szabo NOTE ON REFERENCES The following books are frequently referred to in the notes. Unless otherwise stated, the editions are those given below. Burkert, W. Weisheit und Wissensclzaft, Studien zu Pythagoras, Philo laos und Platon, Nuremberg 1962.
Grants And Awards For The Fiscal Year Ended
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1982
Grants And Awards For The Fiscal Year Ended written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Federal aid to research categories.
Greek Mathematical Philosophy
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Author : Edward A. Maziarz
language : en
Publisher:
Release Date : 1995
Greek Mathematical Philosophy written by Edward A. Maziarz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics, Greek categories.
A Short History Of Greek Mathematics
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Author : James Gow
language : en
Publisher:
Release Date : 1884
A Short History Of Greek Mathematics written by James Gow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with Mathematics categories.
Greek Mathematical Thought And The Origin Of Algebra
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Author : Jacob Klein
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Greek Mathematical Thought And The Origin Of Algebra written by Jacob Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Classics In The History Of Greek Mathematics
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Author : Jean Christianidis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Classics In The History Of Greek Mathematics written by Jean Christianidis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.
A History Of Greek Mathematics
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Author : Thomas L. Heath
language : en
Publisher:
Release Date : 1921
A History Of Greek Mathematics written by Thomas L. Heath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1921 with categories.
A Manual Of Greek Mathematics
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Author : Sir Thomas L. Heath
language : en
Publisher: Courier Corporation
Release Date : 2003-12-29
A Manual Of Greek Mathematics written by Sir Thomas L. Heath and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-29 with Mathematics categories.
Originally published: Oxford: Clarendon Press, 1931; previously published by Dover Publications in 1963.