History and Philosophy of Logic 24 (1):45-63 (2003)

Authors
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-Löf's 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?
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1080/0144534031000079324
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 53,013
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Seas of Language.Michael Dummett - 1993 - Oxford University Press.
Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.

View all 16 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Analytics

Added to PP index
2010-08-10

Total views
21 ( #470,248 of 2,344,162 )

Recent downloads (6 months)
1 ( #514,058 of 2,344,162 )

How can I increase my downloads?

Downloads

My notes