The shaping of deduction in Greek mathematics: a study in cognitive history
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 po...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1999
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Schriftenreihe: | Ideas in context
51 |
Schlagworte: | |
Online-Zugang: | DE-12 DE-92 Volltext |
Zusammenfassung: | 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 |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xvii, 327 pages) |
ISBN: | 9780511543296 |
DOI: | 10.1017/CBO9780511543296 |
Internformat
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Datensatz im Suchindex
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adam_text | |
any_adam_object | |
author | Nets, Reviʾel 1968- |
author_GND | (DE-588)133546160 |
author_facet | Nets, Reviʾel 1968- |
author_role | aut |
author_sort | Nets, Reviʾel 1968- |
author_variant | r n rn |
building | Verbundindex |
bvnumber | BV043942218 |
classification_rvk | CD 1610 NH 6850 SG 530 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511543296 (OCoLC)992887744 (DE-599)BVBBV043942218 |
dewey-full | 510/.938 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510/.938 |
dewey-search | 510/.938 |
dewey-sort | 3510 3938 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Geschichte Philosophie |
doi_str_mv | 10.1017/CBO9780511543296 |
format | Electronic eBook |
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geographic | Griechenland Altertum (DE-588)4093976-5 gnd |
geographic_facet | Griechenland Altertum |
id | DE-604.BV043942218 |
illustrated | Not Illustrated |
indexdate | 2025-05-06T10:00:36Z |
institution | BVB |
isbn | 9780511543296 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351187 |
oclc_num | 992887744 |
open_access_boolean | |
owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (xvii, 327 pages) |
psigel | ZDB-20-CBO gbd_dub ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1999 |
publishDateSearch | 1999 |
publishDateSort | 1999 |
publisher | Cambridge University Press |
record_format | marc |
series | Ideas in context |
series2 | Ideas in context |
spelling | Nets, Reviʾel 1968- Verfasser (DE-588)133546160 aut The shaping of deduction in Greek mathematics a study in cognitive history Reviel Netz Cambridge Cambridge University Press 1999 1 online resource (xvii, 327 pages) txt rdacontent c rdamedia cr rdacarrier Ideas in context 51 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 Mathematics, Greek Logic Mathematik (DE-588)4037944-9 gnd rswk-swf Deduktion (DE-588)4011271-8 gnd rswk-swf Griechenland Altertum (DE-588)4093976-5 gnd rswk-swf Griechenland Altertum (DE-588)4093976-5 g Mathematik (DE-588)4037944-9 s Deduktion (DE-588)4011271-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-54120-6 Erscheint auch als Druckausgabe 978-0-521-62279-0 Ideas in context 51 51 https://doi.org/10.1017/CBO9780511543296 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Nets, Reviʾel 1968- The shaping of deduction in Greek mathematics a study in cognitive history Mathematics, Greek Logic Mathematik (DE-588)4037944-9 gnd Deduktion (DE-588)4011271-8 gnd Ideas in context |
subject_GND | (DE-588)4037944-9 (DE-588)4011271-8 (DE-588)4093976-5 |
title | The shaping of deduction in Greek mathematics a study in cognitive history |
title_auth | The shaping of deduction in Greek mathematics a study in cognitive history |
title_exact_search | The shaping of deduction in Greek mathematics a study in cognitive history |
title_full | The shaping of deduction in Greek mathematics a study in cognitive history Reviel Netz |
title_fullStr | The shaping of deduction in Greek mathematics a study in cognitive history Reviel Netz |
title_full_unstemmed | The shaping of deduction in Greek mathematics a study in cognitive history Reviel Netz |
title_short | The shaping of deduction in Greek mathematics |
title_sort | the shaping of deduction in greek mathematics a study in cognitive history |
title_sub | a study in cognitive history |
topic | Mathematics, Greek Logic Mathematik (DE-588)4037944-9 gnd Deduktion (DE-588)4011271-8 gnd |
topic_facet | Mathematics, Greek Logic Mathematik Deduktion Griechenland Altertum |
url | https://doi.org/10.1017/CBO9780511543296 |
work_keys_str_mv | AT netsreviʾel theshapingofdeductioningreekmathematicsastudyincognitivehistory |