Between Kantianism and Empiricism : Otto Hölder’s Philosophy of Geometry


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BIAGIOLI, Francesca, 2013. Between Kantianism and Empiricism : Otto Hölder’s Philosophy of Geometry. In: Philosophia Scientiae. 17(1), pp. 71-92. ISSN 1281-2463. eISSN 1775-4283. Available under: doi: 10.4000/philosophiascientiae.828

@article{Biagioli2013Betwe-30457, title={Between Kantianism and Empiricism : Otto Hölder’s Philosophy of Geometry}, year={2013}, doi={10.4000/philosophiascientiae.828}, number={1}, volume={17}, issn={1281-2463}, journal={Philosophia Scientiae}, pages={71--92}, author={Biagioli, Francesca} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:issued>2013</dcterms:issued> <dcterms:available rdf:datatype="">2015-03-20T10:32:22Z</dcterms:available> <dc:date rdf:datatype="">2015-03-20T10:32:22Z</dc:date> <dcterms:title>Between Kantianism and Empiricism : Otto Hölder’s Philosophy of Geometry</dcterms:title> <bibo:uri rdf:resource=""/> <dc:language>eng</dc:language> <dc:rights>terms-of-use</dc:rights> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dspace:hasBitstream rdf:resource=""/> <dcterms:abstract xml:lang="eng">Hölder’s philosophy of geometry might appear to be the most problematic part of his epistemology. He maintains that geometry depends on experience also after Poincaré’s fundamental criticism of Helmholtz. Nevertheless, I think that Hölder’s view is worth discussing, for two reasons. Firstly, the related methodological considerations were crucial for the development of his epistemology. Secondly, Poincaré uses the opposition between Kantianism and empiricism to argue for his geometrical conventionalism. Nevertheless, Hölder shows that an alternative strategy is not excluded: he profits from Kantian objections in order to develop a consistent empiricism. At the same time, especially in Die mathematische Methode [Holder 1924], he vindicates the Kantian view that mathematics is synthetic. In this paper, I will consider Hölder’s defence of the deductive method in geometry in Anschauung und Denken in der Geometrie [Holder 1900] in connection with his approach to the theory of quantity [Holder 1901]. Moreover, I will discuss his connection with Kant. My suggestion is that Hölder’s methodological considerations enable him to foreshadow a relativized conception of the a priori.</dcterms:abstract> <dcterms:rights rdf:resource=""/> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Biagioli, Francesca</dc:creator> <dspace:isPartOfCollection rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:hasPart rdf:resource=""/> <dc:contributor>Biagioli, Francesca</dc:contributor> </rdf:Description> </rdf:RDF>

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