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The shaping of deduction in Greek ma...

Netz, Reviel,

The shaping of deduction in Greek mathematics :a study in cognitive history /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	510/.938
書名/作者:	The shaping of deduction in Greek mathematics : : a study in cognitive history // Reviel Netz.
作者:	Netz, Reviel,
面頁冊數:	1 online resource (xvii, 327 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Mathematics, Greek.
標題:	Logic.
ISBN:	9780511543296 (ebook)
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511543296

The shaping of deduction in Greek mathematics :a study in cognitive history /
Netz, Reviel,

The shaping of deduction in Greek mathematics :a study in cognitive history /Reviel Netz. - 1 online resource (xvii, 327 pages) :digital, PDF file(s). - Ideas in context ;51. - Ideas in context ;86.

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511543296 (ebook)Subjects--Topical Terms:

416202
Mathematics, Greek.

LC Class. No.: QA27.G8 / N47 1999

Dewey Class. No.: 510/.938

The shaping of deduction in Greek mathematics :a study in cognitive history /
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