Infinitesimal differences :: controversies between Leibniz and his contemporaries /
The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation a...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
Walter De Gruyter,
©2008.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its pr. |
| Beschreibung: | "This volume had its beginnings in a conference entitled The Metaphysical and Mathematical Discussion os the Status of Infinitesimals in Leibniz's Time held in April 2006 at Emory University"--Introduction |
| Beschreibung: | 1 online resource (vi, 327 pages) : illustrations |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliographie: | Includes bibliographical references (pages 309-323) and index. |
| ISBN: | 9783110211863 3110211866 1283398281 9781283398282 9786613398284 6613398284 |
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| 245 | 0 | 0 | |a Infinitesimal differences : |b controversies between Leibniz and his contemporaries / |c edited by Ursula Goldenbaum and Douglas Jesseph. |
| 260 | |a Berlin ; |a New York : |b Walter De Gruyter, |c ©2008. | ||
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| 500 | |a "This volume had its beginnings in a conference entitled The Metaphysical and Mathematical Discussion os the Status of Infinitesimals in Leibniz's Time held in April 2006 at Emory University"--Introduction | ||
| 504 | |a Includes bibliographical references (pages 309-323) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its pr. | ||
| 505 | 0 | |a Leery bedfellows : Newton and Leibniz on the status of infinitesimals / Richard Arthur -- Infinity, infinitesimals, and the reform of Cavalieri : John Wallis and his critics / Philip Beeley -- Indivisibilia vera : how Leibniz came to love mathematics. Appendix : Leibniz's marginalia in Hobbes' Opera philosophica and De corpore / Ursula Goldenbaum -- Indivisibles and infinitesimals in early mathematical texts of Leibniz / Siegmund Probst -- Archimedes, infinitesimals and the law of continuity : on Leibniz's fictionalism / Samuel Levey -- An enticing (im)possibility : infinitesimals, differentials, and the Leibnizian calculus / O. Bradley Bassler -- Productive ambiguity in Leibniz's representation of infinitesimals / Emily Grosholz -- Generality and infinitely small quantities in Leibniz's mathematics : the case of his arithmetical quadrature of conic sections and related curves / Eberhard Knobloch -- Leibniz's calculation with compendia / Herbert Breger -- Nieuwentijt, Leibniz, and Jacob Hermann on infinitesimals / Fritz Nagel -- Truth in fiction : origins and consequences of Leibniz's doctrine of infinitesimal magnitudes / Douglas Jesseph -- Rule of continuity and infinitesimals in Leibniz's physics / François Duchesneau -- Leibniz on infinitesimals and the reality of force / Donald Rutherford -- Dead force, infinitesimals, and the mathematicization of nature / Daniel Garber. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 546 | |a English. | ||
| 600 | 1 | 0 | |a Leibniz, Gottfried Wilhelm, |c Freiherr von, |d 1646-1716 |x Criticism and interpretation |v Congresses. |
| 600 | 1 | 7 | |a Leibniz, Gottfried Wilhelm, |c Freiherr von, |d 1646-1716 |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJxCxx9XjP7GxJkTmvXrv3 |
| 650 | 0 | |a Physics |x Philosophy |v Congresses. | |
| 650 | 0 | |a Mathematics |x Philosophy |v Congresses. | |
| 650 | 6 | |a Physique |x Philosophie |v Congrès. | |
| 650 | 6 | |a Mathématiques |x Philosophie |v Congrès. | |
| 650 | 7 | |a PHILOSOPHY |x History & Surveys |x Modern. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Philosophy |2 fast | |
| 650 | 7 | |a Physics |x Philosophy |2 fast | |
| 650 | 7 | |a Infinitesimalrechnung |2 gnd |0 http://d-nb.info/gnd/4072798-1 | |
| 650 | 1 | 7 | |a Infinitesimaalrekening. |2 gtt |
| 650 | 1 | 7 | |a Filosofische aspecten. |2 gtt |
| 655 | 7 | |a proceedings (reports) |2 aat | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 655 | 7 | |a Criticism, interpretation, etc. |2 fast | |
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| 700 | 1 | |a Jesseph, Douglas Michael. |0 http://id.loc.gov/authorities/names/n85381455 | |
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| contents | Leery bedfellows : Newton and Leibniz on the status of infinitesimals / Richard Arthur -- Infinity, infinitesimals, and the reform of Cavalieri : John Wallis and his critics / Philip Beeley -- Indivisibilia vera : how Leibniz came to love mathematics. Appendix : Leibniz's marginalia in Hobbes' Opera philosophica and De corpore / Ursula Goldenbaum -- Indivisibles and infinitesimals in early mathematical texts of Leibniz / Siegmund Probst -- Archimedes, infinitesimals and the law of continuity : on Leibniz's fictionalism / Samuel Levey -- An enticing (im)possibility : infinitesimals, differentials, and the Leibnizian calculus / O. Bradley Bassler -- Productive ambiguity in Leibniz's representation of infinitesimals / Emily Grosholz -- Generality and infinitely small quantities in Leibniz's mathematics : the case of his arithmetical quadrature of conic sections and related curves / Eberhard Knobloch -- Leibniz's calculation with compendia / Herbert Breger -- Nieuwentijt, Leibniz, and Jacob Hermann on infinitesimals / Fritz Nagel -- Truth in fiction : origins and consequences of Leibniz's doctrine of infinitesimal magnitudes / Douglas Jesseph -- Rule of continuity and infinitesimals in Leibniz's physics / François Duchesneau -- Leibniz on infinitesimals and the reality of force / Donald Rutherford -- Dead force, infinitesimals, and the mathematicization of nature / Daniel Garber. |
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Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its pr.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Leery bedfellows : Newton and Leibniz on the status of infinitesimals / Richard Arthur -- Infinity, infinitesimals, and the reform of Cavalieri : John Wallis and his critics / Philip Beeley -- Indivisibilia vera : how Leibniz came to love mathematics. Appendix : Leibniz's marginalia in Hobbes' Opera philosophica and De corpore / Ursula Goldenbaum -- Indivisibles and infinitesimals in early mathematical texts of Leibniz / Siegmund Probst -- Archimedes, infinitesimals and the law of continuity : on Leibniz's fictionalism / Samuel Levey -- An enticing (im)possibility : infinitesimals, differentials, and the Leibnizian calculus / O. Bradley Bassler -- Productive ambiguity in Leibniz's representation of infinitesimals / Emily Grosholz -- Generality and infinitely small quantities in Leibniz's mathematics : the case of his arithmetical quadrature of conic sections and related curves / Eberhard Knobloch -- Leibniz's calculation with compendia / Herbert Breger -- Nieuwentijt, Leibniz, and Jacob Hermann on infinitesimals / Fritz Nagel -- Truth in fiction : origins and consequences of Leibniz's doctrine of infinitesimal magnitudes / Douglas Jesseph -- Rule of continuity and infinitesimals in Leibniz's physics / François Duchesneau -- Leibniz on infinitesimals and the reality of force / Donald Rutherford -- Dead force, infinitesimals, and the mathematicization of nature / Daniel Garber.</subfield></datafield><datafield tag="506" ind1=" " ind2=" "><subfield code="3">Use copy</subfield><subfield code="f">Restrictions unspecified</subfield><subfield code="2">star</subfield><subfield code="5">MiAaHDL</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="a">Electronic reproduction.</subfield><subfield code="b">[Place of publication not identified] :</subfield><subfield code="c">HathiTrust Digital Library,</subfield><subfield code="d">2010.</subfield><subfield code="5">MiAaHDL</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Master and use copy. 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| genre | proceedings (reports) aat Conference papers and proceedings fast Criticism, interpretation, etc. fast Conference papers and proceedings. lcgft http://id.loc.gov/authorities/genreForms/gf2014026068 Actes de congrès. rvmgf |
| genre_facet | proceedings (reports) Conference papers and proceedings Criticism, interpretation, etc. Conference papers and proceedings. Actes de congrès. |
| id | ZDB-4-EBA-ocn323304479 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:45Z |
| institution | BVB |
| isbn | 9783110211863 3110211866 1283398281 9781283398282 9786613398284 6613398284 |
| language | English |
| oclc_num | 323304479 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
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| physical | 1 online resource (vi, 327 pages) : illustrations |
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| publisher | Walter De Gruyter, |
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| spelling | Infinitesimal differences : controversies between Leibniz and his contemporaries / edited by Ursula Goldenbaum and Douglas Jesseph. Berlin ; New York : Walter De Gruyter, ©2008. 1 online resource (vi, 327 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier polychrome. rdacc http://rdaregistry.info/termList/RDAColourContent/1003 data file "This volume had its beginnings in a conference entitled The Metaphysical and Mathematical Discussion os the Status of Infinitesimals in Leibniz's Time held in April 2006 at Emory University"--Introduction Includes bibliographical references (pages 309-323) and index. Print version record. The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its pr. Leery bedfellows : Newton and Leibniz on the status of infinitesimals / Richard Arthur -- Infinity, infinitesimals, and the reform of Cavalieri : John Wallis and his critics / Philip Beeley -- Indivisibilia vera : how Leibniz came to love mathematics. Appendix : Leibniz's marginalia in Hobbes' Opera philosophica and De corpore / Ursula Goldenbaum -- Indivisibles and infinitesimals in early mathematical texts of Leibniz / Siegmund Probst -- Archimedes, infinitesimals and the law of continuity : on Leibniz's fictionalism / Samuel Levey -- An enticing (im)possibility : infinitesimals, differentials, and the Leibnizian calculus / O. Bradley Bassler -- Productive ambiguity in Leibniz's representation of infinitesimals / Emily Grosholz -- Generality and infinitely small quantities in Leibniz's mathematics : the case of his arithmetical quadrature of conic sections and related curves / Eberhard Knobloch -- Leibniz's calculation with compendia / Herbert Breger -- Nieuwentijt, Leibniz, and Jacob Hermann on infinitesimals / Fritz Nagel -- Truth in fiction : origins and consequences of Leibniz's doctrine of infinitesimal magnitudes / Douglas Jesseph -- Rule of continuity and infinitesimals in Leibniz's physics / François Duchesneau -- Leibniz on infinitesimals and the reality of force / Donald Rutherford -- Dead force, infinitesimals, and the mathematicization of nature / Daniel Garber. Use copy Restrictions unspecified star MiAaHDL Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL English. Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 Criticism and interpretation Congresses. Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 fast https://id.oclc.org/worldcat/entity/E39PBJxCxx9XjP7GxJkTmvXrv3 Physics Philosophy Congresses. Mathematics Philosophy Congresses. Physique Philosophie Congrès. Mathématiques Philosophie Congrès. PHILOSOPHY History & Surveys Modern. bisacsh Mathematics Philosophy fast Physics Philosophy fast Infinitesimalrechnung gnd http://d-nb.info/gnd/4072798-1 Infinitesimaalrekening. gtt Filosofische aspecten. gtt proceedings (reports) aat Conference papers and proceedings fast Criticism, interpretation, etc. fast Conference papers and proceedings. lcgft http://id.loc.gov/authorities/genreForms/gf2014026068 Actes de congrès. rvmgf Goldenbaum, Ursula. http://id.loc.gov/authorities/names/n98007687 Jesseph, Douglas Michael. http://id.loc.gov/authorities/names/n85381455 Print version: Infinitesimal differences. Berlin ; New York : Walter De Gruyter, ©2008 3110202166 9783110202168 (OCoLC)232236948 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=259704 Volltext |
| spellingShingle | Infinitesimal differences : controversies between Leibniz and his contemporaries / Leery bedfellows : Newton and Leibniz on the status of infinitesimals / Richard Arthur -- Infinity, infinitesimals, and the reform of Cavalieri : John Wallis and his critics / Philip Beeley -- Indivisibilia vera : how Leibniz came to love mathematics. Appendix : Leibniz's marginalia in Hobbes' Opera philosophica and De corpore / Ursula Goldenbaum -- Indivisibles and infinitesimals in early mathematical texts of Leibniz / Siegmund Probst -- Archimedes, infinitesimals and the law of continuity : on Leibniz's fictionalism / Samuel Levey -- An enticing (im)possibility : infinitesimals, differentials, and the Leibnizian calculus / O. Bradley Bassler -- Productive ambiguity in Leibniz's representation of infinitesimals / Emily Grosholz -- Generality and infinitely small quantities in Leibniz's mathematics : the case of his arithmetical quadrature of conic sections and related curves / Eberhard Knobloch -- Leibniz's calculation with compendia / Herbert Breger -- Nieuwentijt, Leibniz, and Jacob Hermann on infinitesimals / Fritz Nagel -- Truth in fiction : origins and consequences of Leibniz's doctrine of infinitesimal magnitudes / Douglas Jesseph -- Rule of continuity and infinitesimals in Leibniz's physics / François Duchesneau -- Leibniz on infinitesimals and the reality of force / Donald Rutherford -- Dead force, infinitesimals, and the mathematicization of nature / Daniel Garber. Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 Criticism and interpretation Congresses. Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 fast https://id.oclc.org/worldcat/entity/E39PBJxCxx9XjP7GxJkTmvXrv3 Physics Philosophy Congresses. Mathematics Philosophy Congresses. Physique Philosophie Congrès. Mathématiques Philosophie Congrès. PHILOSOPHY History & Surveys Modern. bisacsh Mathematics Philosophy fast Physics Philosophy fast Infinitesimalrechnung gnd http://d-nb.info/gnd/4072798-1 Infinitesimaalrekening. gtt Filosofische aspecten. gtt |
| subject_GND | http://d-nb.info/gnd/4072798-1 http://id.loc.gov/authorities/genreForms/gf2014026068 |
| title | Infinitesimal differences : controversies between Leibniz and his contemporaries / |
| title_auth | Infinitesimal differences : controversies between Leibniz and his contemporaries / |
| title_exact_search | Infinitesimal differences : controversies between Leibniz and his contemporaries / |
| title_full | Infinitesimal differences : controversies between Leibniz and his contemporaries / edited by Ursula Goldenbaum and Douglas Jesseph. |
| title_fullStr | Infinitesimal differences : controversies between Leibniz and his contemporaries / edited by Ursula Goldenbaum and Douglas Jesseph. |
| title_full_unstemmed | Infinitesimal differences : controversies between Leibniz and his contemporaries / edited by Ursula Goldenbaum and Douglas Jesseph. |
| title_short | Infinitesimal differences : |
| title_sort | infinitesimal differences controversies between leibniz and his contemporaries |
| title_sub | controversies between Leibniz and his contemporaries / |
| topic | Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 Criticism and interpretation Congresses. Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 fast https://id.oclc.org/worldcat/entity/E39PBJxCxx9XjP7GxJkTmvXrv3 Physics Philosophy Congresses. Mathematics Philosophy Congresses. Physique Philosophie Congrès. Mathématiques Philosophie Congrès. PHILOSOPHY History & Surveys Modern. bisacsh Mathematics Philosophy fast Physics Philosophy fast Infinitesimalrechnung gnd http://d-nb.info/gnd/4072798-1 Infinitesimaalrekening. gtt Filosofische aspecten. gtt |
| topic_facet | Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 Criticism and interpretation Congresses. Leibniz, Gottfried Wilhelm, Freiherr von, 1646-1716 Physics Philosophy Congresses. Mathematics Philosophy Congresses. Physique Philosophie Congrès. Mathématiques Philosophie Congrès. PHILOSOPHY History & Surveys Modern. Mathematics Philosophy Physics Philosophy Infinitesimalrechnung Infinitesimaalrekening. Filosofische aspecten. proceedings (reports) Conference papers and proceedings Criticism, interpretation, etc. Conference papers and proceedings. Actes de congrès. |
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