The determinate world :: Kant and Helmholtz on the physical meaning of geometry /
This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
Walter de Gruyter,
©2009.
|
| Schriftenreihe: | Quellen und Studien zur Philosophie ;
Bd. 69. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature "completely comprehensible", which implies that all physical magnitudes must be relations among empirically given phenomena. This conviction eventually forced Helmholtz to explain how geometry itself could be so construed. Hyder shows how Helmholtz answered this question by drawing on the theory of magnitudes developed in his research on the colour-space. He argues against the dominant interpretation of Helmholtz's work by suggesting that for the latter, it is less the inductive character of geometry that makes it empirical, and rather the regulative requirement that the system of natural science be empirically closed |
| Beschreibung: | 1 online resource (viii, 229 pages) : illustrations. |
| Bibliographie: | Includes bibliographical references (pages 215-219) and index. |
| ISBN: | 9783110217209 3110217201 1282716727 9781282716728 |
| ISSN: | 0344-8142 ; |
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| 245 | 1 | 4 | |a The determinate world : |b Kant and Helmholtz on the physical meaning of geometry / |c by David Hyder. |
| 246 | 3 | 0 | |a Kant and Helmholtz on the physical meaning of geometry |
| 260 | |a Berlin ; |a New York : |b Walter de Gruyter, |c ©2009. | ||
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| 490 | 1 | |a Quellen und Studien zur Philosophie, |x 0344-8142 ; |v Bd. 69 | |
| 504 | |a Includes bibliographical references (pages 215-219) and index. | ||
| 505 | 0 | |a 1. Introduction -- 2. The empirical determination of physical concepts in Kant's Metaphysical foundations of natural science -- 3. Helmholtz on the comprehension of nature -- 4. Colour-theory and manifolds -- 5. The road to empirical geometry -- 6. Helmholtz on geometry, 1868-1878 -- 7. Conclusion. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature "completely comprehensible", which implies that all physical magnitudes must be relations among empirically given phenomena. This conviction eventually forced Helmholtz to explain how geometry itself could be so construed. Hyder shows how Helmholtz answered this question by drawing on the theory of magnitudes developed in his research on the colour-space. He argues against the dominant interpretation of Helmholtz's work by suggesting that for the latter, it is less the inductive character of geometry that makes it empirical, and rather the regulative requirement that the system of natural science be empirically closed | ||
| 546 | |a In English. | ||
| 600 | 1 | 0 | |a Helmholtz, Hermann von, |d 1821-1894. |0 http://id.loc.gov/authorities/names/n79112262 |
| 600 | 1 | 0 | |a Kant, Immanuel, |d 1724-1804. |0 http://id.loc.gov/authorities/names/n79021614 |
| 600 | 1 | 0 | |a Kant, Immanuel, |d 1724-1804. |t Metaphysische Anfangsgründe der Naturwissenschaft. |0 http://id.loc.gov/authorities/names/n94008533 |
| 600 | 1 | 7 | |a Helmholtz, Hermann von, |d 1821-1894 |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJwX8rQwGmkhjM48kvHHmd |
| 600 | 1 | 7 | |a Kant, Immanuel, |d 1724-1804 |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJwmW8rQhgGKyX4rvgdPcP |
| 630 | 0 | 7 | |a Metaphysische Anfangsgründe der Naturwissenschaft (Kant, Immanuel) |2 fast |
| 650 | 0 | |a Geometry |x Philosophy. | |
| 650 | 0 | |a Geometry |x History |y 19th century. | |
| 650 | 0 | |a Color |x History. | |
| 650 | 6 | |a Géométrie |x Philosophie. | |
| 650 | 6 | |a Géométrie |x Histoire |y 19e siècle. | |
| 650 | 6 | |a Couleur |x Histoire. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Color |2 fast | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Geometry |x Philosophy |2 fast | |
| 650 | 7 | |a Philosophie |2 gnd |0 http://d-nb.info/gnd/4045791-6 | |
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| 758 | |i has work: |a The determinate world (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkXtvRXhxGTmbmFHBpvRC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hyder, David Jalal, 1964- |t Determinate world. |d Berlin ; New York : Walter de Gruyter, ©2009 |z 9783110183917 |w (DLC) 2009036201 |w (OCoLC)436866916 |
| 830 | 0 | |a Quellen und Studien zur Philosophie ; |v Bd. 69. |0 http://id.loc.gov/authorities/names/n42028757 | |
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| author | Hyder, David Jalal, 1964- |
| author_GND | http://id.loc.gov/authorities/names/no2002115846 |
| author_facet | Hyder, David Jalal, 1964- |
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| contents | 1. Introduction -- 2. The empirical determination of physical concepts in Kant's Metaphysical foundations of natural science -- 3. Helmholtz on the comprehension of nature -- 4. Colour-theory and manifolds -- 5. The road to empirical geometry -- 6. Helmholtz on geometry, 1868-1878 -- 7. Conclusion. |
| ctrlnum | (OCoLC)560705912 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.001 |
| dewey-search | 516.001 |
| dewey-sort | 3516.001 |
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| discipline | Mathematik Philosophie |
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| format | Electronic eBook |
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Introduction -- 2. The empirical determination of physical concepts in Kant's Metaphysical foundations of natural science -- 3. Helmholtz on the comprehension of nature -- 4. Colour-theory and manifolds -- 5. The road to empirical geometry -- 6. Helmholtz on geometry, 1868-1878 -- 7. Conclusion.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature "completely comprehensible", which implies that all physical magnitudes must be relations among empirically given phenomena. This conviction eventually forced Helmholtz to explain how geometry itself could be so construed. Hyder shows how Helmholtz answered this question by drawing on the theory of magnitudes developed in his research on the colour-space. 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| genre | History fast |
| genre_facet | History |
| id | ZDB-4-EBA-ocn560705912 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:01Z |
| institution | BVB |
| isbn | 9783110217209 3110217201 1282716727 9781282716728 |
| issn | 0344-8142 ; |
| language | English |
| oclc_num | 560705912 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (viii, 229 pages) : illustrations. |
| psigel | ZDB-4-EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | Walter de Gruyter, |
| record_format | marc |
| series | Quellen und Studien zur Philosophie ; |
| series2 | Quellen und Studien zur Philosophie, |
| spelling | Hyder, David Jalal, 1964- http://id.loc.gov/authorities/names/no2002115846 The determinate world : Kant and Helmholtz on the physical meaning of geometry / by David Hyder. Kant and Helmholtz on the physical meaning of geometry Berlin ; New York : Walter de Gruyter, ©2009. 1 online resource (viii, 229 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Quellen und Studien zur Philosophie, 0344-8142 ; Bd. 69 Includes bibliographical references (pages 215-219) and index. 1. Introduction -- 2. The empirical determination of physical concepts in Kant's Metaphysical foundations of natural science -- 3. Helmholtz on the comprehension of nature -- 4. Colour-theory and manifolds -- 5. The road to empirical geometry -- 6. Helmholtz on geometry, 1868-1878 -- 7. Conclusion. Print version record. This book offers a new interpretation of Hermann von Helmholtz's work on the epistemology of geometry. A detailed analysis of the philosophical arguments of Helmholtz's Erhaltung der Kraft shows that he took physical theories to be constrained by a regulative ideal. They must render nature "completely comprehensible", which implies that all physical magnitudes must be relations among empirically given phenomena. This conviction eventually forced Helmholtz to explain how geometry itself could be so construed. Hyder shows how Helmholtz answered this question by drawing on the theory of magnitudes developed in his research on the colour-space. He argues against the dominant interpretation of Helmholtz's work by suggesting that for the latter, it is less the inductive character of geometry that makes it empirical, and rather the regulative requirement that the system of natural science be empirically closed In English. Helmholtz, Hermann von, 1821-1894. http://id.loc.gov/authorities/names/n79112262 Kant, Immanuel, 1724-1804. http://id.loc.gov/authorities/names/n79021614 Kant, Immanuel, 1724-1804. Metaphysische Anfangsgründe der Naturwissenschaft. http://id.loc.gov/authorities/names/n94008533 Helmholtz, Hermann von, 1821-1894 fast https://id.oclc.org/worldcat/entity/E39PBJwX8rQwGmkhjM48kvHHmd Kant, Immanuel, 1724-1804 fast https://id.oclc.org/worldcat/entity/E39PBJwmW8rQhgGKyX4rvgdPcP Metaphysische Anfangsgründe der Naturwissenschaft (Kant, Immanuel) fast Geometry Philosophy. Geometry History 19th century. Color History. Géométrie Philosophie. Géométrie Histoire 19e siècle. Couleur Histoire. MATHEMATICS Geometry General. bisacsh Color fast Geometry fast Geometry Philosophy fast Philosophie gnd http://d-nb.info/gnd/4045791-6 Geometrie gnd http://d-nb.info/gnd/4020236-7 1800-1899 fast History fast has work: The determinate world (Text) https://id.oclc.org/worldcat/entity/E39PCGkXtvRXhxGTmbmFHBpvRC https://id.oclc.org/worldcat/ontology/hasWork Print version: Hyder, David Jalal, 1964- Determinate world. Berlin ; New York : Walter de Gruyter, ©2009 9783110183917 (DLC) 2009036201 (OCoLC)436866916 Quellen und Studien zur Philosophie ; Bd. 69. http://id.loc.gov/authorities/names/n42028757 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=302806 Volltext |
| spellingShingle | Hyder, David Jalal, 1964- The determinate world : Kant and Helmholtz on the physical meaning of geometry / Quellen und Studien zur Philosophie ; 1. Introduction -- 2. The empirical determination of physical concepts in Kant's Metaphysical foundations of natural science -- 3. Helmholtz on the comprehension of nature -- 4. Colour-theory and manifolds -- 5. The road to empirical geometry -- 6. Helmholtz on geometry, 1868-1878 -- 7. Conclusion. Helmholtz, Hermann von, 1821-1894. http://id.loc.gov/authorities/names/n79112262 Kant, Immanuel, 1724-1804. http://id.loc.gov/authorities/names/n79021614 Kant, Immanuel, 1724-1804. Metaphysische Anfangsgründe der Naturwissenschaft. http://id.loc.gov/authorities/names/n94008533 Helmholtz, Hermann von, 1821-1894 fast https://id.oclc.org/worldcat/entity/E39PBJwX8rQwGmkhjM48kvHHmd Kant, Immanuel, 1724-1804 fast https://id.oclc.org/worldcat/entity/E39PBJwmW8rQhgGKyX4rvgdPcP Metaphysische Anfangsgründe der Naturwissenschaft (Kant, Immanuel) fast Geometry Philosophy. Geometry History 19th century. Color History. Géométrie Philosophie. Géométrie Histoire 19e siècle. Couleur Histoire. MATHEMATICS Geometry General. bisacsh Color fast Geometry fast Geometry Philosophy fast Philosophie gnd http://d-nb.info/gnd/4045791-6 Geometrie gnd http://d-nb.info/gnd/4020236-7 |
| subject_GND | http://id.loc.gov/authorities/names/n79112262 http://id.loc.gov/authorities/names/n79021614 http://id.loc.gov/authorities/names/n94008533 http://d-nb.info/gnd/4045791-6 http://d-nb.info/gnd/4020236-7 |
| title | The determinate world : Kant and Helmholtz on the physical meaning of geometry / |
| title_alt | Kant and Helmholtz on the physical meaning of geometry |
| title_auth | The determinate world : Kant and Helmholtz on the physical meaning of geometry / |
| title_exact_search | The determinate world : Kant and Helmholtz on the physical meaning of geometry / |
| title_full | The determinate world : Kant and Helmholtz on the physical meaning of geometry / by David Hyder. |
| title_fullStr | The determinate world : Kant and Helmholtz on the physical meaning of geometry / by David Hyder. |
| title_full_unstemmed | The determinate world : Kant and Helmholtz on the physical meaning of geometry / by David Hyder. |
| title_short | The determinate world : |
| title_sort | determinate world kant and helmholtz on the physical meaning of geometry |
| title_sub | Kant and Helmholtz on the physical meaning of geometry / |
| topic | Helmholtz, Hermann von, 1821-1894. http://id.loc.gov/authorities/names/n79112262 Kant, Immanuel, 1724-1804. http://id.loc.gov/authorities/names/n79021614 Kant, Immanuel, 1724-1804. Metaphysische Anfangsgründe der Naturwissenschaft. http://id.loc.gov/authorities/names/n94008533 Helmholtz, Hermann von, 1821-1894 fast https://id.oclc.org/worldcat/entity/E39PBJwX8rQwGmkhjM48kvHHmd Kant, Immanuel, 1724-1804 fast https://id.oclc.org/worldcat/entity/E39PBJwmW8rQhgGKyX4rvgdPcP Metaphysische Anfangsgründe der Naturwissenschaft (Kant, Immanuel) fast Geometry Philosophy. Geometry History 19th century. Color History. Géométrie Philosophie. Géométrie Histoire 19e siècle. Couleur Histoire. MATHEMATICS Geometry General. bisacsh Color fast Geometry fast Geometry Philosophy fast Philosophie gnd http://d-nb.info/gnd/4045791-6 Geometrie gnd http://d-nb.info/gnd/4020236-7 |
| topic_facet | Helmholtz, Hermann von, 1821-1894. Kant, Immanuel, 1724-1804. Kant, Immanuel, 1724-1804. Metaphysische Anfangsgründe der Naturwissenschaft. Helmholtz, Hermann von, 1821-1894 Kant, Immanuel, 1724-1804 Metaphysische Anfangsgründe der Naturwissenschaft (Kant, Immanuel) Geometry Philosophy. Geometry History 19th century. Color History. Géométrie Philosophie. Géométrie Histoire 19e siècle. Couleur Histoire. MATHEMATICS Geometry General. Color Geometry Geometry Philosophy Philosophie Geometrie History |
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