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| Content Provider | Springer Nature Link |
|---|---|
| Author | Biagioli, Francesca |
| Copyright Year | 2013 |
| Abstract | In 1870, Hermann von Helmholtz criticized the Kantian conception of geometrical axioms as a priori synthetic judgments grounded in spatial intuition. However, during his dispute with Albrecht Krause (Kant und Helmholtz über den Ursprung und die Bedeutung der Raumanschauung und der geometrischen Axiome. Lahr, Schauenburg, 1878), Helmholtz maintained that space can be transcendental without the axioms being so. In this paper, I will analyze Helmholtz’s claim in connection with his theory of measurement. Helmholtz uses a Kantian argument that can be summarized as follows: mathematical structures that can be defined independently of the objects we experience are necessary for judgments about magnitudes to be generally valid. I suggest that space is conceived by Helmholtz as one such structure. I will analyze his argument in its most detailed version, which is found in Helmholtz (Zählen und Messen, erkenntnistheoretisch betrachtet 1887. In: Schriften zur Erkenntnistheorie. Springer, Berlin, 1921, 70–97). In support of my view, I will consider alternative formulations of the same argument by Ernst Cassirer and Otto Hölder. |
| Starting Page | 1 |
| Ending Page | 21 |
| Page Count | 21 |
| File Format | |
| ISSN | 09254560 |
| Journal | Journal for General Philosophy of Science |
| Volume Number | 45 |
| Issue Number | 1 |
| e-ISSN | 15728587 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2013-08-25 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Geometrical empiricism Hermann von Helmholtz Measurement Transcendental intuition Philosophy of Science History Philosophy of Education Methodology of the Social Sciences Social Sciences |
| Content Type | Text |
| Resource Type | Article |
| Subject | Philosophy Social Sciences History and Philosophy of Science |
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