Hinzen, Wolfram (2003) Constructive versus ontological construals of Cantorian ordinals. HISTORY AND PHILOSOPHY OF LOGIC, 24 (1). pp. 45-63. ISSN 0144-5340
Full text not available from this repository.Abstract
In a recent paper, Kit Fine offers a reconstruction of Cantor's theory of ordinals. It avoids certain mentalistic overtones in it through both a non-standard ontology and a non-standard notion of abstraction. I argue that this reconstruction misses an essential constructive and computational content of Cantor's theory, which I in turn reconstruct using Martin-Lofs theory of types. Throughout, I emphasize Kantian themes in Cantor's epistemology, and I also argue, as against Michael Hallett's interpretation, for the need for a constructive understanding of Cantorian 'existence principles'.
| Item Type: | Article |
|---|---|
| Subjects: | 100 Philosophy & psychology > 100 Philosophy |
| Divisions: | Philosophy, Art History, History, and Humanities > Institut für Philosophie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Aug 2021 10:20 |
| Last Modified: | 05 Aug 2021 10:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39461 |
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