Leibniz on the parallel postulate and the foundations of geometry: the unpublished manuscripts
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Basel]
Birkhäuser
[2016]
|
| Schriftenreihe: | Science networks, historical studies
volume 51 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online Ressource (VIII, 195 Seiten) |
| ISBN: | 9783319198637 |
| ISSN: | 1421-6329 |
| DOI: | 10.1007/978-3-319-19863-7 |
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Datensatz im Suchindex
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| adam_text | LEIBNIZ ON THE PARALLEL POSTULATE AND THE FOUNDATIONS OF GEOMETRY
/ DE RISI, VINCENZO
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK OFFERS A GENERAL INTRODUCTION TO THE GEOMETRICAL STUDIES OF
GOTTFRIED WILHELM LEIBNIZ (1646-1716) AND HIS MATHEMATICAL EPISTEMOLOGY.
IN PARTICULAR, IT FOCUSES ON HIS THEORY OF PARALLEL LINES AND HIS
ATTEMPTS TO PROVE THE FAMOUS PARALLEL POSTULATE. FURTHERMORE IT EXPLAINS
THE ROLE THAT LEIBNIZ’S WORK PLAYED IN THE DEVELOPMENT OF
NON-EUCLIDEAN GEOMETRY. THE FIRST PART IS AN OVERVIEW OF HIS
EPISTEMOLOGY OF GEOMETRY AND A FEW OF HIS GEOMETRICAL FINDINGS, WHICH
PUTS THEM IN THE CONTEXT OF THE SEVENTEENTH-CENTURY STUDIES ON THE
FOUNDATIONS OF GEOMETRY. IT ALSO PROVIDES A DETAILED MATHEMATICAL AND
PHILOSOPHICAL COMMENTARY ON HIS WRITINGS ON THE THEORY OF PARALLELS, AND
DISCUSSES HOW THEY WERE RECEIVED IN THE EIGHTEENTH CENTURY AS WELL AS
THEIR RELEVANCE FOR THE NON-EUCLIDEAN REVOLUTION IN MATHEMATICS. THE
SECOND PART OFFERS A COLLECTION OF LEIBNIZ’S ESSAYS ON THE THEORY OF
PARALLELS AND AN ENGLISH TRANSLATION OF THEM. WHILE A FEW OF THESE
PAPERS HAVE ALREADY BEEN PUBLISHED (IN LATIN) IN THE STANDARD LEIBNIZ
EDITIONS, MOST OF THEM ARE TRANSCRIBED FROM LEIBNIZ’S MANUSCRIPTS
WRITTEN IN HANNOVER, AND PUBLISHED HERE FOR THE FIRST TIME. THE BOOK
PROVIDES NEW MATERIAL ON THE HISTORY OF NON-EUCLIDEAN GEOMETRY,
STRESSING THE PREVIOUSLY NEGLECTED ROLE OF LEIBNIZ IN THESE
DEVELOPMENTS. THIS VOLUME WILL BE OF INTEREST TO HISTORIANS IN
MATHEMATICS, PHILOSOPHY OR LOGIC, AS WELL AS MATHEMATICIANS INTERESTED
IN NON-EUCLIDEAN GEOMETRY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LEIBNIZ ON THE PARALLEL POSTULATE AND THE FOUNDATIONS OF GEOMETRY
/ DE RISI, VINCENZO
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1.INTRODUCTION
2.THE THEORY OF PARALLEL LINES IN THE AGE OF LEIBNIZ
3.LEIBNIZ’ EPISTEMOLOGY OF GEOMETRY AND THE PARALLEL POSTULATE
4.LEIBNIZ’ ATTEMPTS TO PROVE THE PARALLEL POSTULATE
5.RECEPTION AND LEGACY
LEIBNIZ’ TEXTS ON PARALLEL LINES
BIBLIOGRAPHY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | De Risi, Vincenzo |
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| author_role | aut |
| author_sort | De Risi, Vincenzo |
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| building | Verbundindex |
| bvnumber | BV043408099 |
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| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)944068172 (DE-599)BVBBV043408099 |
| dewey-full | 510.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.9 |
| dewey-search | 510.9 |
| dewey-sort | 3510.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| doi_str_mv | 10.1007/978-3-319-19863-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:25:10Z |
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| isbn | 9783319198637 |
| issn | 1421-6329 |
| language | English |
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| spelling | De Risi, Vincenzo Verfasser (DE-588)1051918693 aut Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts Vincenzo De Risi [Basel] Birkhäuser [2016] © 2016 1 Online Ressource (VIII, 195 Seiten) txt rdacontent c rdamedia cr rdacarrier Science networks, historical studies volume 51 1421-6329 Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd rswk-swf Mathematics Philosophy Geometry History History of Mathematical Sciences History of Philosophy Geschichte Mathematik Philosophie Geometrie (DE-588)4020236-7 gnd rswk-swf Parallelenaxiom (DE-588)4173277-7 gnd rswk-swf Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 p Parallelenaxiom (DE-588)4173277-7 s Geometrie (DE-588)4020236-7 s DE-604 Erscheint auch als Druckausgabe 978-3-319-19862-0 Science networks, historical studies volume 51 (DE-604)BV035421311 51 https://doi.org/10.1007/978-3-319-19863-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826445&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826445&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | De Risi, Vincenzo Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts Science networks, historical studies Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd Mathematics Philosophy Geometry History History of Mathematical Sciences History of Philosophy Geschichte Mathematik Philosophie Geometrie (DE-588)4020236-7 gnd Parallelenaxiom (DE-588)4173277-7 gnd |
| subject_GND | (DE-588)118571249 (DE-588)4020236-7 (DE-588)4173277-7 |
| title | Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts |
| title_auth | Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts |
| title_exact_search | Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts |
| title_full | Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts Vincenzo De Risi |
| title_fullStr | Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts Vincenzo De Risi |
| title_full_unstemmed | Leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts Vincenzo De Risi |
| title_short | Leibniz on the parallel postulate and the foundations of geometry |
| title_sort | leibniz on the parallel postulate and the foundations of geometry the unpublished manuscripts |
| title_sub | the unpublished manuscripts |
| topic | Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd Mathematics Philosophy Geometry History History of Mathematical Sciences History of Philosophy Geschichte Mathematik Philosophie Geometrie (DE-588)4020236-7 gnd Parallelenaxiom (DE-588)4173277-7 gnd |
| topic_facet | Leibniz, Gottfried Wilhelm 1646-1716 Mathematics Philosophy Geometry History History of Mathematical Sciences History of Philosophy Geschichte Mathematik Philosophie Geometrie Parallelenaxiom |
| url | https://doi.org/10.1007/978-3-319-19863-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826445&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826445&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421311 |
| work_keys_str_mv | AT derisivincenzo leibnizontheparallelpostulateandthefoundationsofgeometrytheunpublishedmanuscripts |